Čantrak, Đorđe

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Authority KeyName Variants
orcid::0000-0003-1841-9187
  • Čantrak, Đorđe (151)
Projects
Application of Novel Measurement and Computational Techniques on Investigation of Air Flow in Ventilation Systems of Energy Extremely Efficient (“Passive”) Buildings Ministry of Education, Science and Technological Development, Republic of Serbia, Grant no. 200105 (University of Belgrade, Faculty of Mechanical Engineering)
Multiscale Methods and Their Applicatios in Nanomedicine Effects of assistive systems in neurorehabilitation: recovery of sensory-motor functions
Application of biomedical engineering for preclinical and clinical practice Istraživanje i razvoj anemometarskih sondi, mernokalibracionih postupaka i optičkih metoda za merenja u tehničkoj praksi
SCOPES project "Enabling Web-based Remote Laboratory Community and Infrastructure" of Swiss National Science Foundation [IZ74Z0_160454/1] Increase of energy efficiency in selected industrial sector through implementation of energy management system in small and medium-sized enterprises
35046 Bilateral cooperation between MESTD, Serbia and Ministry of Science, Montenegro (2016-2018), coordinated between the University of Belgrade, Faculty of Mechanical Engineering and the University of Montenegro, Faculty of Mechanical Engineering "Investigation of the influence of turbulent swirl flow on the energy parameters of the axial fans by use of the contemporarymeasurement techniques".
Bilateral cooperation between MESTD, Serbia and Ministry of Science, Montenegro (2016-2018), coordinated between University of Belgrade, Faculty of Mechanical Engineering and University of Montenegro, Faculty of Mechanical Engineering: Investigation of the influence of turbulent swirl flow on the energy parameters of the axial fans by use of the contemporary measurement techniques, what is gratefully acknowledged. Bilateral project “Joint Research on the Development Technology of Low-head Run-of-the-river Hydropower”, between MESTD RS and Ministry of Water Resources in China and Renewable Energy and Rural Electrification Zhejiang International Science Center
Bilateral project “Joint Research on the Development Technology of Low-head Run-of-the-river Hydropower”, between Ministry of Education, Science and Technological Development of the Republic of Serbia and Hydropower Engineering Technology Research Center of Ministry of Water Resources in China and Renewable Energy and Rural Electrification Zhejiang International Science Bilateral project “Joint Research on the Development Technology of Low-head Run-of-the-river Hydropower”, between Ministry of Education, Science and Technological Development of the Republic of Serbia and Hydropower Engineering Technology Research Center of Ministry of Water Resources in China and Renewable Energy and Rural Electrification Zhejiang International Science Center and Technology Cooperation Base
Bilateral Project with DAAD: Investigation of the Turbulent Structure behind the Axial Fan Impellers by Use of the HWA, LDA and PIV Measuring Techniques and CFD Analysis Bilateral Project with German Academic Exchange Service (DAAD): Investigation of the Turbulent Structure behind the Axial Fan Impellers by Use of the HWA, LDA and PIV Measuring Techniques and CFD Analysis. The second project is correlated between Faculty of Mechanical Engineering, Karlsruhe University of Technology and Faculty of Mechanical Engineering, University of Belgrade
Đorđe Čantrak was Fulbright Visiting Scholar from April-June 2014 European Community FP5 program through BEMUSAC project
German Academic Exchange Service (DAAD) (Bilateral Project, FSM KIT, Germany and FME UB, Serbia German Academic Exchange Service (DAAD) (Bilateral Project, Karlsruhe Institute of Technology, Institute of Fluid Machinery, Germany and Faculty of Mechanical Engineering, University of Belgrade, Serbia, in period 2011-2012)
Government of the Republic of Serbia Ministry of Education, Science and Technological Development, Republic of Serbia, Grant no. 200017 (University of Belgrade, Institute of Nuclear Sciences 'Vinča', Belgrade-Vinča)
Razvoj i primena integralnih matematičko - eksperimentalnih metoda modalne analize i strukturne modifikacije u optimizaciji dinamičkog ponašanja sistema slobodnih i međusobno povezanih rotirajućih lopatica Intelligent Control Systems of the Air-conditioning for the Purpose of Achieving Energy Efficient Exploitation Regimes in the Complex Operating Conditions
info:eu-repo/grantAgreement/MESTD/Technological Development (TD or TR)/35046/RS/ MESTD RS [401-00-00588/2018-09]
MESTD, Serbia Ministry of Education and Science, Republic of Serbia - Bilateral project with DAAD between FSM KIT and FME UB
Ministry of Education, Science, and Technological Development, Republic of Serbia, grant number 451-03-68/2022-14/200105, subproject TR35046 Ministry of Education, Science and Technological Development, Republic of Serbia, Project No. TR 35046

Author's Bibliography

Experimental and numerical research of the flow inside the control valves trim

Ilić, Dejan; Janković, Novica; Čantrak, Đorđe; Savić, Ljubomir

(VINČA Institute of Nuclear Sciences, 2023)

TY  - JOUR
AU  - Ilić, Dejan
AU  - Janković, Novica
AU  - Čantrak, Đorđe
AU  - Savić, Ljubomir
PY  - 2023
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6994
AB  - In this paper are presented desing, testing and numerical analysis for two manufactured control valve trims. Valve trim is consisted of cage or dick stack, plug, stem and seat. Size from app. 15.88 mm (0.625 in) up to 101.6 mm (4 in) is suitable for 3D metal and plastic print, what is presented in this paper. Selective laser melting 3D metal printing is applied on the disc presented in this paper. Even better material properties from rest of the valve parts could be obtained. This is of great importance for valve retrofitting. In this paper is presented, also, new developed channel geometry, what is followed by various fluid flow phenomena. Measurement results for second prototype manufactured by 3D printing using plastics are presented in details. Here is shown, in short, procedure for determination of KV values of the test valves according to the EN 60534-2-3, Industrial-process control valves - Part 2-3: Flow capacity - Test procedures. In addition, some aspects of CFD calculations are presented.
PB  - VINČA Institute of Nuclear Sciences
T2  - Thermal Science
T1  - Experimental and numerical research of the flow inside the control valves trim
IS  - 00
SP  - 157
DO  - 10.2298/TSCI230405157I
ER  - 
@article{
author = "Ilić, Dejan and Janković, Novica and Čantrak, Đorđe and Savić, Ljubomir",
year = "2023",
abstract = "In this paper are presented desing, testing and numerical analysis for two manufactured control valve trims. Valve trim is consisted of cage or dick stack, plug, stem and seat. Size from app. 15.88 mm (0.625 in) up to 101.6 mm (4 in) is suitable for 3D metal and plastic print, what is presented in this paper. Selective laser melting 3D metal printing is applied on the disc presented in this paper. Even better material properties from rest of the valve parts could be obtained. This is of great importance for valve retrofitting. In this paper is presented, also, new developed channel geometry, what is followed by various fluid flow phenomena. Measurement results for second prototype manufactured by 3D printing using plastics are presented in details. Here is shown, in short, procedure for determination of KV values of the test valves according to the EN 60534-2-3, Industrial-process control valves - Part 2-3: Flow capacity - Test procedures. In addition, some aspects of CFD calculations are presented.",
publisher = "VINČA Institute of Nuclear Sciences",
journal = "Thermal Science",
title = "Experimental and numerical research of the flow inside the control valves trim",
number = "00",
pages = "157",
doi = "10.2298/TSCI230405157I"
}
Ilić, D., Janković, N., Čantrak, Đ.,& Savić, L.. (2023). Experimental and numerical research of the flow inside the control valves trim. in Thermal Science
VINČA Institute of Nuclear Sciences.(00), 157.
https://doi.org/10.2298/TSCI230405157I
Ilić D, Janković N, Čantrak Đ, Savić L. Experimental and numerical research of the flow inside the control valves trim. in Thermal Science. 2023;(00):157.
doi:10.2298/TSCI230405157I .
Ilić, Dejan, Janković, Novica, Čantrak, Đorđe, Savić, Ljubomir, "Experimental and numerical research of the flow inside the control valves trim" in Thermal Science, no. 00 (2023):157,
https://doi.org/10.2298/TSCI230405157I . .

EXPERIMENTAL INVESTIGATION AND MATHEMATICAL MODELLING OF VORTEX STRUCTURES FOUND AT IMPINGING TURBULENT AXISYMETRIC AIR JET MODIFIED BY LOW-AMPLITUDE SOUND MODULATION

Cvetinović, Dejan; Erić, Aleksandar; Ćetenović, Nikola; Čantrak, Đorđe; Jaroslav, Tihon; Nakabe, Kazuyoshi

(Српско друштво за механику, 2023)

TY  - CONF
AU  - Cvetinović, Dejan
AU  - Erić, Aleksandar
AU  - Ćetenović, Nikola
AU  - Čantrak, Đorđe
AU  - Jaroslav, Tihon
AU  - Nakabe, Kazuyoshi
PY  - 2023
UR  - http://www.ssm.kg.ac.rs/congress_2023/papers/
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6912
UR  - http://www.ssm.kg.ac.rs/congress_2023/wp-content/uploads/upload/ICSSM2023_Book_of_Proceedings.pdf
AB  - The controlled modulation of the nozzle exit velocity acts as a disturbance source, superimposing the natural disturbances in axisymmetric turbulent air jets. The modulation controls the vortex roll-up, and thus the overall vortex structure in the jet. The vortex structures have a significant influence on the heat transfer properties of the jet configurations. The jet can be modulated by an external source of low amplitude oscillations or by self-sustaining oscillations generated by the operation of the specially designed whistler nozzles. The aim of the experimental investigations, mathematical modelling and numerical simulations was to investigate the properties and vortex structures of acoustically modified and non-modified jets and to find an efficient way to control them.
This study can serve as a basis for further development and optimisation of technological processes related to air nozzles. The paper presents the results of experimental research and mathematical modelling and numerical simulation of free and impinging turbulent axisymmetric modified and not modified air jets.
PB  - Српско друштво за механику
C3  - 9th International Congress of the Serbian Society of Mechanics July 5-7, 2023, Vrnjačka Banja, Serbia
T1  - EXPERIMENTAL INVESTIGATION AND MATHEMATICAL MODELLING OF VORTEX STRUCTURES FOUND AT IMPINGING TURBULENT AXISYMETRIC AIR JET MODIFIED BY LOW-AMPLITUDE SOUND MODULATION
SP  - 144
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6912
ER  - 
@conference{
author = "Cvetinović, Dejan and Erić, Aleksandar and Ćetenović, Nikola and Čantrak, Đorđe and Jaroslav, Tihon and Nakabe, Kazuyoshi",
year = "2023",
abstract = "The controlled modulation of the nozzle exit velocity acts as a disturbance source, superimposing the natural disturbances in axisymmetric turbulent air jets. The modulation controls the vortex roll-up, and thus the overall vortex structure in the jet. The vortex structures have a significant influence on the heat transfer properties of the jet configurations. The jet can be modulated by an external source of low amplitude oscillations or by self-sustaining oscillations generated by the operation of the specially designed whistler nozzles. The aim of the experimental investigations, mathematical modelling and numerical simulations was to investigate the properties and vortex structures of acoustically modified and non-modified jets and to find an efficient way to control them.
This study can serve as a basis for further development and optimisation of technological processes related to air nozzles. The paper presents the results of experimental research and mathematical modelling and numerical simulation of free and impinging turbulent axisymmetric modified and not modified air jets.",
publisher = "Српско друштво за механику",
journal = "9th International Congress of the Serbian Society of Mechanics July 5-7, 2023, Vrnjačka Banja, Serbia",
title = "EXPERIMENTAL INVESTIGATION AND MATHEMATICAL MODELLING OF VORTEX STRUCTURES FOUND AT IMPINGING TURBULENT AXISYMETRIC AIR JET MODIFIED BY LOW-AMPLITUDE SOUND MODULATION",
pages = "144",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6912"
}
Cvetinović, D., Erić, A., Ćetenović, N., Čantrak, Đ., Jaroslav, T.,& Nakabe, K.. (2023). EXPERIMENTAL INVESTIGATION AND MATHEMATICAL MODELLING OF VORTEX STRUCTURES FOUND AT IMPINGING TURBULENT AXISYMETRIC AIR JET MODIFIED BY LOW-AMPLITUDE SOUND MODULATION. in 9th International Congress of the Serbian Society of Mechanics July 5-7, 2023, Vrnjačka Banja, Serbia
Српско друштво за механику., 144.
https://hdl.handle.net/21.15107/rcub_machinery_6912
Cvetinović D, Erić A, Ćetenović N, Čantrak Đ, Jaroslav T, Nakabe K. EXPERIMENTAL INVESTIGATION AND MATHEMATICAL MODELLING OF VORTEX STRUCTURES FOUND AT IMPINGING TURBULENT AXISYMETRIC AIR JET MODIFIED BY LOW-AMPLITUDE SOUND MODULATION. in 9th International Congress of the Serbian Society of Mechanics July 5-7, 2023, Vrnjačka Banja, Serbia. 2023;:144.
https://hdl.handle.net/21.15107/rcub_machinery_6912 .
Cvetinović, Dejan, Erić, Aleksandar, Ćetenović, Nikola, Čantrak, Đorđe, Jaroslav, Tihon, Nakabe, Kazuyoshi, "EXPERIMENTAL INVESTIGATION AND MATHEMATICAL MODELLING OF VORTEX STRUCTURES FOUND AT IMPINGING TURBULENT AXISYMETRIC AIR JET MODIFIED BY LOW-AMPLITUDE SOUND MODULATION" in 9th International Congress of the Serbian Society of Mechanics July 5-7, 2023, Vrnjačka Banja, Serbia (2023):144,
https://hdl.handle.net/21.15107/rcub_machinery_6912 .

Enstrophy Study of the Turbulent Swirling Flow in Pipe

Čantrak, Đorđe; Janković, Novica; Ilić, Dejan; Lečić, Lazar

(Српско друштво за механику, 2023)

TY  - CONF
AU  - Čantrak, Đorđe
AU  - Janković, Novica
AU  - Ilić, Dejan
AU  - Lečić, Lazar
PY  - 2023
UR  - http://www.ssm.kg.ac.rs/congress_2023/papers/
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6911
UR  - http://www.ssm.kg.ac.rs/congress_2023/wp-content/uploads/upload/ICSSM2023_Book_of_Proceedings.pdf
AB  - Turbulent swirling flow is characterized by significant vortex fluctuations, intensive diffusion processes and energy cascade transfer from larger to smaller vortices over a continuous spectrum of wave numbers. The dissipation of the kinetic energy of turbulence occurs in the smallest vortices, because in these areas, both the velocity gradients and the deformation velocities are the largest. In this paper is analyzed turbulent swirling flow in pipe, generated by the axial fan impellers for three various blade angles (22°, 26° and 30°). Vorticity, enstrophy and lambda 2 values are calculated in order to study the structure of the generated turbulent swirling flows. Axial fan impeller operates in the region of lower flow rates, and it is shown that blade angle doesn’t influence much on the integral flow parameters, as well as on the enstrophy distribution. It is, also, shown that the dissipation of the kinetic energy of turbulence is associated with the vorticity fluctuations, i.e. with turbulent fluctuating enstrophy. All these distributions are obtained by use of the high speed particle image velocimetry data and provided velocity fields. Enstrophy is directly related to the kinetic energy, i.e. it corresponds to dissipation effects in this flow. It has maximum in small vortices, i.e. in shear layer, that surrounds vortex core region, where the process of turbulence kinetic energy dissipation occurs.
PB  - Српско друштво за механику
C3  - 9th International Congress of the Serbian Society of Mechanics July 5-7, 2023, Vrnjačka Banja, Serbia
T1  - Enstrophy Study of the Turbulent Swirling Flow in Pipe
SP  - 84
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6911
ER  - 
@conference{
author = "Čantrak, Đorđe and Janković, Novica and Ilić, Dejan and Lečić, Lazar",
year = "2023",
abstract = "Turbulent swirling flow is characterized by significant vortex fluctuations, intensive diffusion processes and energy cascade transfer from larger to smaller vortices over a continuous spectrum of wave numbers. The dissipation of the kinetic energy of turbulence occurs in the smallest vortices, because in these areas, both the velocity gradients and the deformation velocities are the largest. In this paper is analyzed turbulent swirling flow in pipe, generated by the axial fan impellers for three various blade angles (22°, 26° and 30°). Vorticity, enstrophy and lambda 2 values are calculated in order to study the structure of the generated turbulent swirling flows. Axial fan impeller operates in the region of lower flow rates, and it is shown that blade angle doesn’t influence much on the integral flow parameters, as well as on the enstrophy distribution. It is, also, shown that the dissipation of the kinetic energy of turbulence is associated with the vorticity fluctuations, i.e. with turbulent fluctuating enstrophy. All these distributions are obtained by use of the high speed particle image velocimetry data and provided velocity fields. Enstrophy is directly related to the kinetic energy, i.e. it corresponds to dissipation effects in this flow. It has maximum in small vortices, i.e. in shear layer, that surrounds vortex core region, where the process of turbulence kinetic energy dissipation occurs.",
publisher = "Српско друштво за механику",
journal = "9th International Congress of the Serbian Society of Mechanics July 5-7, 2023, Vrnjačka Banja, Serbia",
title = "Enstrophy Study of the Turbulent Swirling Flow in Pipe",
pages = "84",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6911"
}
Čantrak, Đ., Janković, N., Ilić, D.,& Lečić, L.. (2023). Enstrophy Study of the Turbulent Swirling Flow in Pipe. in 9th International Congress of the Serbian Society of Mechanics July 5-7, 2023, Vrnjačka Banja, Serbia
Српско друштво за механику., 84.
https://hdl.handle.net/21.15107/rcub_machinery_6911
Čantrak Đ, Janković N, Ilić D, Lečić L. Enstrophy Study of the Turbulent Swirling Flow in Pipe. in 9th International Congress of the Serbian Society of Mechanics July 5-7, 2023, Vrnjačka Banja, Serbia. 2023;:84.
https://hdl.handle.net/21.15107/rcub_machinery_6911 .
Čantrak, Đorđe, Janković, Novica, Ilić, Dejan, Lečić, Lazar, "Enstrophy Study of the Turbulent Swirling Flow in Pipe" in 9th International Congress of the Serbian Society of Mechanics July 5-7, 2023, Vrnjačka Banja, Serbia (2023):84,
https://hdl.handle.net/21.15107/rcub_machinery_6911 .

Prospects of Urban Air Mobility in Belgrade, Serbia

Svorcan, Jelena; Čantrak, Đorđe; Andrić, Jelena; Ianiro, Andrea

(Union of Mechanical and Electrotechnical Engineers and Technicians of Serbia (SMEITS) Society for Renewable Electrical Power Sources, 2023)

TY  - CONF
AU  - Svorcan, Jelena
AU  - Čantrak, Đorđe
AU  - Andrić, Jelena
AU  - Ianiro, Andrea
PY  - 2023
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/7057
AB  - The idea of urban air mobility is steadily gaining popularity for its enormous potential to radically
change the way modern cities are functioning and are being planned. In its present form, it relies
on numerous vertical take-off and landing (VTOL) unmanned air vehicles (UAVs) of different sizes
that will perform a number of tasks: deliveries, transport, surveillance and control, etc. On the
other hand, to progress further, urban air mobility will also require abundant infrastructure on the
ground (heliports, charging stations, communication hubs, etc.) as well as large amounts of energy
that should be generated primarily from renewable resources. There are still many technological
challenges to solve, such as efficient aircraft design, quiet rotors, electrical propulsion and storage,
autonomous flight, optimized routes, etc. This paper describes an initial study of possible operation
of several different UAVs (from the smallest to medium size) including the estimation of their
required power and expected performance (such as useful weight, range and endurance) and
proposes some options for future urban air mobility over Belgrade.
PB  - Union of Mechanical and Electrotechnical Engineers and Technicians of Serbia (SMEITS) Society for Renewable Electrical Power Sources
C3  - 11th International Conference on Renewable Electrical Power Sources
T1  - Prospects of Urban Air Mobility in Belgrade, Serbia
EP  - 251
SP  - 245
UR  - https://hdl.handle.net/21.15107/rcub_machinery_7057
ER  - 
@conference{
author = "Svorcan, Jelena and Čantrak, Đorđe and Andrić, Jelena and Ianiro, Andrea",
year = "2023",
abstract = "The idea of urban air mobility is steadily gaining popularity for its enormous potential to radically
change the way modern cities are functioning and are being planned. In its present form, it relies
on numerous vertical take-off and landing (VTOL) unmanned air vehicles (UAVs) of different sizes
that will perform a number of tasks: deliveries, transport, surveillance and control, etc. On the
other hand, to progress further, urban air mobility will also require abundant infrastructure on the
ground (heliports, charging stations, communication hubs, etc.) as well as large amounts of energy
that should be generated primarily from renewable resources. There are still many technological
challenges to solve, such as efficient aircraft design, quiet rotors, electrical propulsion and storage,
autonomous flight, optimized routes, etc. This paper describes an initial study of possible operation
of several different UAVs (from the smallest to medium size) including the estimation of their
required power and expected performance (such as useful weight, range and endurance) and
proposes some options for future urban air mobility over Belgrade.",
publisher = "Union of Mechanical and Electrotechnical Engineers and Technicians of Serbia (SMEITS) Society for Renewable Electrical Power Sources",
journal = "11th International Conference on Renewable Electrical Power Sources",
title = "Prospects of Urban Air Mobility in Belgrade, Serbia",
pages = "251-245",
url = "https://hdl.handle.net/21.15107/rcub_machinery_7057"
}
Svorcan, J., Čantrak, Đ., Andrić, J.,& Ianiro, A.. (2023). Prospects of Urban Air Mobility in Belgrade, Serbia. in 11th International Conference on Renewable Electrical Power Sources
Union of Mechanical and Electrotechnical Engineers and Technicians of Serbia (SMEITS) Society for Renewable Electrical Power Sources., 245-251.
https://hdl.handle.net/21.15107/rcub_machinery_7057
Svorcan J, Čantrak Đ, Andrić J, Ianiro A. Prospects of Urban Air Mobility in Belgrade, Serbia. in 11th International Conference on Renewable Electrical Power Sources. 2023;:245-251.
https://hdl.handle.net/21.15107/rcub_machinery_7057 .
Svorcan, Jelena, Čantrak, Đorđe, Andrić, Jelena, Ianiro, Andrea, "Prospects of Urban Air Mobility in Belgrade, Serbia" in 11th International Conference on Renewable Electrical Power Sources (2023):245-251,
https://hdl.handle.net/21.15107/rcub_machinery_7057 .

LDV Investigation of the Self Induced Pre-Swirl and Flow Visualization at the Centrifugal Pump Inlet and Outlet

Čantrak, Đorđe; Janković, Novica; Ilić, Dejan; Nedeljković, Miloš

(2022)

TY  - CONF
AU  - Čantrak, Đorđe
AU  - Janković, Novica
AU  - Ilić, Dejan
AU  - Nedeljković, Miloš
PY  - 2022
UR  - https://www.iahr.org/library/infor?pid=21378
UR  - https://cmswebonline.com/iahr2022/epro/html/06-08-039-1817.xml
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5573
AB  - Turbulent swirling flow occupies attention of numerous researchers worldwide. In this paper are presented experimental results of the research of the self induced pre-swirl by the centrifugal impeller. Circumferential velocity was measured in two cross-sections by use of the one-component laser Doppler velocimetry (LDV) system. Flow visualization at the pump inlet, as well as at the pump outlet, was conducted by using the high speed camera Photron Fastcam SA1.1 and the LED light for illumination. Air bubbles were used for flow illumination, and silver coated particles for LDV measurements. Pump characteristics (head, volume flow rate and power) are, also, measured in the tested duty point. Pre-swirl is visualized, while almost developed uniform turbulent flow is documented at the pump casing outlet. By using LDV it was possible to identify almost solid body circumferential velocity profile at the pump inlet, only 0.5D upstream, where D is pipe inner diameter. So, the influence of the impeller suction is obvious. In paper is, also discussed statistics of the generated turbulence.
C3  - 39th IAHR World Congress, Proceedings, Ed.: Miguel Ortega-Sánchez, No. 06-08-039-1817, June 19-24th, Granada, Spain
T1  - LDV Investigation of the Self Induced Pre-Swirl and Flow Visualization at the Centrifugal Pump Inlet and Outlet
EP  - 5270
SP  - 5264
DO  - 10.3850/IAHR-39WC2521711920221817
ER  - 
@conference{
author = "Čantrak, Đorđe and Janković, Novica and Ilić, Dejan and Nedeljković, Miloš",
year = "2022",
abstract = "Turbulent swirling flow occupies attention of numerous researchers worldwide. In this paper are presented experimental results of the research of the self induced pre-swirl by the centrifugal impeller. Circumferential velocity was measured in two cross-sections by use of the one-component laser Doppler velocimetry (LDV) system. Flow visualization at the pump inlet, as well as at the pump outlet, was conducted by using the high speed camera Photron Fastcam SA1.1 and the LED light for illumination. Air bubbles were used for flow illumination, and silver coated particles for LDV measurements. Pump characteristics (head, volume flow rate and power) are, also, measured in the tested duty point. Pre-swirl is visualized, while almost developed uniform turbulent flow is documented at the pump casing outlet. By using LDV it was possible to identify almost solid body circumferential velocity profile at the pump inlet, only 0.5D upstream, where D is pipe inner diameter. So, the influence of the impeller suction is obvious. In paper is, also discussed statistics of the generated turbulence.",
journal = "39th IAHR World Congress, Proceedings, Ed.: Miguel Ortega-Sánchez, No. 06-08-039-1817, June 19-24th, Granada, Spain",
title = "LDV Investigation of the Self Induced Pre-Swirl and Flow Visualization at the Centrifugal Pump Inlet and Outlet",
pages = "5270-5264",
doi = "10.3850/IAHR-39WC2521711920221817"
}
Čantrak, Đ., Janković, N., Ilić, D.,& Nedeljković, M.. (2022). LDV Investigation of the Self Induced Pre-Swirl and Flow Visualization at the Centrifugal Pump Inlet and Outlet. in 39th IAHR World Congress, Proceedings, Ed.: Miguel Ortega-Sánchez, No. 06-08-039-1817, June 19-24th, Granada, Spain, 5264-5270.
https://doi.org/10.3850/IAHR-39WC2521711920221817
Čantrak Đ, Janković N, Ilić D, Nedeljković M. LDV Investigation of the Self Induced Pre-Swirl and Flow Visualization at the Centrifugal Pump Inlet and Outlet. in 39th IAHR World Congress, Proceedings, Ed.: Miguel Ortega-Sánchez, No. 06-08-039-1817, June 19-24th, Granada, Spain. 2022;:5264-5270.
doi:10.3850/IAHR-39WC2521711920221817 .
Čantrak, Đorđe, Janković, Novica, Ilić, Dejan, Nedeljković, Miloš, "LDV Investigation of the Self Induced Pre-Swirl and Flow Visualization at the Centrifugal Pump Inlet and Outlet" in 39th IAHR World Congress, Proceedings, Ed.: Miguel Ortega-Sánchez, No. 06-08-039-1817, June 19-24th, Granada, Spain (2022):5264-5270,
https://doi.org/10.3850/IAHR-39WC2521711920221817 . .
1

CONTROL VALVES TRIM DESIGN, RETROFITTING AND TESTING

Čantrak, Đorđe; Savić, Ljubomir; Janković, Novica; Ilić, Dejan

(2022)

TY  - CONF
AU  - Čantrak, Đorđe
AU  - Savić, Ljubomir
AU  - Janković, Novica
AU  - Ilić, Dejan
PY  - 2022
UR  - https://ieep-2022.drustvo-termicara.com/book
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6049
AB  - Control valves have numerous applications like in natural gas control and transport (as anti surge and recycle valves, hot/cold bypass valves, throttling valves, degasser flow/level control valves), natural gas treatment for dehydration and desulphuring (TEG injection, flashing drum pressure control, amine pump recirculation control valves), LNG processing (gas/steam to vent valves, blowdown and depressing valves), refineries and petrochemical (charge pump recycle valves, blowdown control valves, emergency vent valves, amine pump recycle valves), ethylene plants (feed-pump recycle valve, blowdown and gas to vent/flare valves, steam conditioning and desuperheating, compressor recycle) and etc. Valve trim is consisted of cage or dick stack, plug, stem and seat. Size from app. 15.88 mm (0.625 in) up to 101.6 mm (4 in) is suitable for 3D metal print, what is presented in this paper. Selective laser melting 3D metal printing is applied on the disc presented in this paper. Even better material properties from rest of the valve parts could be obtained. This is of great importance for valve retrofitting. In this paper is presented, also new developed channel geometry, what is followed by various fluid flow phenomena. Here is shown, in short, procedure for determination of KV-Values of the test valves according to the EN 60534-2-3, Industrial-process control valves - Part 2-3: Flow capacity - Test procedures. Some aspects of CFD calculations will be presented, also.
C3  - Full Papers Proceedings of International Conference "IEEP 2022", November 08-09, 2022, Faculty of Mechanical Engineering of the University of Belgrade, Belgrade, Serbia
T1  - CONTROL VALVES TRIM DESIGN, RETROFITTING AND TESTING
EP  - 259
SP  - 253
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6049
ER  - 
@conference{
author = "Čantrak, Đorđe and Savić, Ljubomir and Janković, Novica and Ilić, Dejan",
year = "2022",
abstract = "Control valves have numerous applications like in natural gas control and transport (as anti surge and recycle valves, hot/cold bypass valves, throttling valves, degasser flow/level control valves), natural gas treatment for dehydration and desulphuring (TEG injection, flashing drum pressure control, amine pump recirculation control valves), LNG processing (gas/steam to vent valves, blowdown and depressing valves), refineries and petrochemical (charge pump recycle valves, blowdown control valves, emergency vent valves, amine pump recycle valves), ethylene plants (feed-pump recycle valve, blowdown and gas to vent/flare valves, steam conditioning and desuperheating, compressor recycle) and etc. Valve trim is consisted of cage or dick stack, plug, stem and seat. Size from app. 15.88 mm (0.625 in) up to 101.6 mm (4 in) is suitable for 3D metal print, what is presented in this paper. Selective laser melting 3D metal printing is applied on the disc presented in this paper. Even better material properties from rest of the valve parts could be obtained. This is of great importance for valve retrofitting. In this paper is presented, also new developed channel geometry, what is followed by various fluid flow phenomena. Here is shown, in short, procedure for determination of KV-Values of the test valves according to the EN 60534-2-3, Industrial-process control valves - Part 2-3: Flow capacity - Test procedures. Some aspects of CFD calculations will be presented, also.",
journal = "Full Papers Proceedings of International Conference "IEEP 2022", November 08-09, 2022, Faculty of Mechanical Engineering of the University of Belgrade, Belgrade, Serbia",
title = "CONTROL VALVES TRIM DESIGN, RETROFITTING AND TESTING",
pages = "259-253",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6049"
}
Čantrak, Đ., Savić, L., Janković, N.,& Ilić, D.. (2022). CONTROL VALVES TRIM DESIGN, RETROFITTING AND TESTING. in Full Papers Proceedings of International Conference "IEEP 2022", November 08-09, 2022, Faculty of Mechanical Engineering of the University of Belgrade, Belgrade, Serbia, 253-259.
https://hdl.handle.net/21.15107/rcub_machinery_6049
Čantrak Đ, Savić L, Janković N, Ilić D. CONTROL VALVES TRIM DESIGN, RETROFITTING AND TESTING. in Full Papers Proceedings of International Conference "IEEP 2022", November 08-09, 2022, Faculty of Mechanical Engineering of the University of Belgrade, Belgrade, Serbia. 2022;:253-259.
https://hdl.handle.net/21.15107/rcub_machinery_6049 .
Čantrak, Đorđe, Savić, Ljubomir, Janković, Novica, Ilić, Dejan, "CONTROL VALVES TRIM DESIGN, RETROFITTING AND TESTING" in Full Papers Proceedings of International Conference "IEEP 2022", November 08-09, 2022, Faculty of Mechanical Engineering of the University of Belgrade, Belgrade, Serbia (2022):253-259,
https://hdl.handle.net/21.15107/rcub_machinery_6049 .

Reconstruction of Centrifugal Pump Impeller

Janković, Novica; Čantrak, Đorđe; Kokotović, Branko

(Belgrade : Mining Institute, 2022)

TY  - CONF
AU  - Janković, Novica
AU  - Čantrak, Đorđe
AU  - Kokotović, Branko
PY  - 2022
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6821
PB  - Belgrade : Mining Institute
C3  - 8th Balkan Mining Congress : Proceedings, September 28-30, Belgrade 2022.
T1  - Reconstruction of Centrifugal Pump Impeller
EP  - 383
SP  - 377
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6821
ER  - 
@conference{
author = "Janković, Novica and Čantrak, Đorđe and Kokotović, Branko",
year = "2022",
publisher = "Belgrade : Mining Institute",
journal = "8th Balkan Mining Congress : Proceedings, September 28-30, Belgrade 2022.",
title = "Reconstruction of Centrifugal Pump Impeller",
pages = "383-377",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6821"
}
Janković, N., Čantrak, Đ.,& Kokotović, B.. (2022). Reconstruction of Centrifugal Pump Impeller. in 8th Balkan Mining Congress : Proceedings, September 28-30, Belgrade 2022.
Belgrade : Mining Institute., 377-383.
https://hdl.handle.net/21.15107/rcub_machinery_6821
Janković N, Čantrak Đ, Kokotović B. Reconstruction of Centrifugal Pump Impeller. in 8th Balkan Mining Congress : Proceedings, September 28-30, Belgrade 2022.. 2022;:377-383.
https://hdl.handle.net/21.15107/rcub_machinery_6821 .
Janković, Novica, Čantrak, Đorđe, Kokotović, Branko, "Reconstruction of Centrifugal Pump Impeller" in 8th Balkan Mining Congress : Proceedings, September 28-30, Belgrade 2022. (2022):377-383,
https://hdl.handle.net/21.15107/rcub_machinery_6821 .

Enstrophy in Turbulent Swirling Flow in Pipe

Čantrak, Đorđe; Janković, Novica; Ilić, Dejan

(2022)

TY  - CONF
AU  - Čantrak, Đorđe
AU  - Janković, Novica
AU  - Ilić, Dejan
PY  - 2022
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6844
C3  - 1st International Conference on Mathematical Modelling in Mechanics and Engineering, Booklet of Abstracts, Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, Serbia, 8-10 September 2022
T1  - Enstrophy in Turbulent Swirling Flow in Pipe
SP  - 72
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6844
ER  - 
@conference{
author = "Čantrak, Đorđe and Janković, Novica and Ilić, Dejan",
year = "2022",
journal = "1st International Conference on Mathematical Modelling in Mechanics and Engineering, Booklet of Abstracts, Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, Serbia, 8-10 September 2022",
title = "Enstrophy in Turbulent Swirling Flow in Pipe",
pages = "72",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6844"
}
Čantrak, Đ., Janković, N.,& Ilić, D.. (2022). Enstrophy in Turbulent Swirling Flow in Pipe. in 1st International Conference on Mathematical Modelling in Mechanics and Engineering, Booklet of Abstracts, Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, Serbia, 8-10 September 2022, 72.
https://hdl.handle.net/21.15107/rcub_machinery_6844
Čantrak Đ, Janković N, Ilić D. Enstrophy in Turbulent Swirling Flow in Pipe. in 1st International Conference on Mathematical Modelling in Mechanics and Engineering, Booklet of Abstracts, Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, Serbia, 8-10 September 2022. 2022;:72.
https://hdl.handle.net/21.15107/rcub_machinery_6844 .
Čantrak, Đorđe, Janković, Novica, Ilić, Dejan, "Enstrophy in Turbulent Swirling Flow in Pipe" in 1st International Conference on Mathematical Modelling in Mechanics and Engineering, Booklet of Abstracts, Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, Serbia, 8-10 September 2022 (2022):72,
https://hdl.handle.net/21.15107/rcub_machinery_6844 .

Савремене мерне технике у Лабораторији за турбуленцију и мерење брзине струјања флуида

Čantrak, Đorđe; Janković, Novica; Ilić, Dejan

(2022)

TY  - CONF
AU  - Čantrak, Đorđe
AU  - Janković, Novica
AU  - Ilić, Dejan
PY  - 2022
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6812
C3  - Светски дан метрологије, „Метрологија у дигиталној ери“, 20. мај 2022., Машински факултет у Београду
T1  - Савремене мерне технике у Лабораторији за турбуленцију и мерење брзине струјања флуида
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6812
ER  - 
@conference{
author = "Čantrak, Đorđe and Janković, Novica and Ilić, Dejan",
year = "2022",
journal = "Светски дан метрологије, „Метрологија у дигиталној ери“, 20. мај 2022., Машински факултет у Београду",
title = "Савремене мерне технике у Лабораторији за турбуленцију и мерење брзине струјања флуида",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6812"
}
Čantrak, Đ., Janković, N.,& Ilić, D.. (2022). Савремене мерне технике у Лабораторији за турбуленцију и мерење брзине струјања флуида. in Светски дан метрологије, „Метрологија у дигиталној ери“, 20. мај 2022., Машински факултет у Београду.
https://hdl.handle.net/21.15107/rcub_machinery_6812
Čantrak Đ, Janković N, Ilić D. Савремене мерне технике у Лабораторији за турбуленцију и мерење брзине струјања флуида. in Светски дан метрологије, „Метрологија у дигиталној ери“, 20. мај 2022., Машински факултет у Београду. 2022;.
https://hdl.handle.net/21.15107/rcub_machinery_6812 .
Čantrak, Đorđe, Janković, Novica, Ilić, Dejan, "Савремене мерне технике у Лабораторији за турбуленцију и мерење брзине струјања флуида" in Светски дан метрологије, „Метрологија у дигиталној ери“, 20. мај 2022., Машински факултет у Београду (2022),
https://hdl.handle.net/21.15107/rcub_machinery_6812 .

Optical Velocity Measurement and Fluid Flow Visualization Techniques

Čantrak, Đorđe

(2022)

TY  - CONF
AU  - Čantrak, Đorđe
PY  - 2022
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6813
AB  - Numerous fluid flow phenomena intrigue researchers worldwide. Flow visualization usually precedes experimental research and gives insight in flow structures. It can be used to show how the fluid flows around the model, in jet, in closed systems, in turbomachinery, and etc. In numerous cases geometries are very complex and even some chemical reactions occur, but they are not treated here. Smoke, tufts, paints, sewing thread, smoke and tuft probes, are employed together with illumination systems, like LED lamps or lasers. With the laser development, a new era of fluid flow velocity measurement techniques started. Soon after laser invention, a laser Doppler velocimtery (LDV) is developed and applied in fluid mechanics. Non-intrusive era of fluid flow investigation has started. Various laser models, from continuum, and diode ones to impulse are widely used. Three component systems, even five beams probes, are employed today in complex researches. In-plane, stereoscopic, multi-plane stereoscopic, time-resolved, micro, holographic, scanning, tomographic and thermographic particle image velocimtery (PIV) have been used. In this case, besides illumination devices, contemporary applications employ fast cameras nowadays. Research of the turbulent swirling flow in pipe, behind the axial fan impeller, with the help of the LDV and PIV systems, as well as some results on wing tip vortex research in wind tunnel tests are presented.
C3  - International Symposium on Aircraft Technology, MRO & Operations ISATECH’22, 14-16. September 2022., Belgrade
T1  - Optical Velocity Measurement and Fluid Flow Visualization Techniques
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6813
ER  - 
@conference{
author = "Čantrak, Đorđe",
year = "2022",
abstract = "Numerous fluid flow phenomena intrigue researchers worldwide. Flow visualization usually precedes experimental research and gives insight in flow structures. It can be used to show how the fluid flows around the model, in jet, in closed systems, in turbomachinery, and etc. In numerous cases geometries are very complex and even some chemical reactions occur, but they are not treated here. Smoke, tufts, paints, sewing thread, smoke and tuft probes, are employed together with illumination systems, like LED lamps or lasers. With the laser development, a new era of fluid flow velocity measurement techniques started. Soon after laser invention, a laser Doppler velocimtery (LDV) is developed and applied in fluid mechanics. Non-intrusive era of fluid flow investigation has started. Various laser models, from continuum, and diode ones to impulse are widely used. Three component systems, even five beams probes, are employed today in complex researches. In-plane, stereoscopic, multi-plane stereoscopic, time-resolved, micro, holographic, scanning, tomographic and thermographic particle image velocimtery (PIV) have been used. In this case, besides illumination devices, contemporary applications employ fast cameras nowadays. Research of the turbulent swirling flow in pipe, behind the axial fan impeller, with the help of the LDV and PIV systems, as well as some results on wing tip vortex research in wind tunnel tests are presented.",
journal = "International Symposium on Aircraft Technology, MRO & Operations ISATECH’22, 14-16. September 2022., Belgrade",
title = "Optical Velocity Measurement and Fluid Flow Visualization Techniques",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6813"
}
Čantrak, Đ.. (2022). Optical Velocity Measurement and Fluid Flow Visualization Techniques. in International Symposium on Aircraft Technology, MRO & Operations ISATECH’22, 14-16. September 2022., Belgrade.
https://hdl.handle.net/21.15107/rcub_machinery_6813
Čantrak Đ. Optical Velocity Measurement and Fluid Flow Visualization Techniques. in International Symposium on Aircraft Technology, MRO & Operations ISATECH’22, 14-16. September 2022., Belgrade. 2022;.
https://hdl.handle.net/21.15107/rcub_machinery_6813 .
Čantrak, Đorđe, "Optical Velocity Measurement and Fluid Flow Visualization Techniques" in International Symposium on Aircraft Technology, MRO & Operations ISATECH’22, 14-16. September 2022., Belgrade (2022),
https://hdl.handle.net/21.15107/rcub_machinery_6813 .

Special Collection on advanced practices in aerospace and energy engineering

Svorcan, Jelena; Andrić, Jelena; Čantrak, Đorđe; Ivanov, Toni

(2022)

TY  - JOUR
AU  - Svorcan, Jelena
AU  - Andrić, Jelena
AU  - Čantrak, Đorđe
AU  - Ivanov, Toni
PY  - 2022
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4173
T2  - Advances in Mechanical Engineering
T1  - Special Collection on advanced practices in aerospace and energy engineering
EP  - 3
IS  - 10
SP  - 1
VL  - 14
DO  - 10.1177/16878132221125578
ER  - 
@article{
author = "Svorcan, Jelena and Andrić, Jelena and Čantrak, Đorđe and Ivanov, Toni",
year = "2022",
journal = "Advances in Mechanical Engineering",
title = "Special Collection on advanced practices in aerospace and energy engineering",
pages = "3-1",
number = "10",
volume = "14",
doi = "10.1177/16878132221125578"
}
Svorcan, J., Andrić, J., Čantrak, Đ.,& Ivanov, T.. (2022). Special Collection on advanced practices in aerospace and energy engineering. in Advances in Mechanical Engineering, 14(10), 1-3.
https://doi.org/10.1177/16878132221125578
Svorcan J, Andrić J, Čantrak Đ, Ivanov T. Special Collection on advanced practices in aerospace and energy engineering. in Advances in Mechanical Engineering. 2022;14(10):1-3.
doi:10.1177/16878132221125578 .
Svorcan, Jelena, Andrić, Jelena, Čantrak, Đorđe, Ivanov, Toni, "Special Collection on advanced practices in aerospace and energy engineering" in Advances in Mechanical Engineering, 14, no. 10 (2022):1-3,
https://doi.org/10.1177/16878132221125578 . .
3

Истраживање турбулентног Ранкиновог вртлога у цеви иза кола аксијалног вентилатора применом оптичких (ПИВ и ЛДА) мерних метода и визуализације

Čantrak, Đorđe

(ВОJНОТЕХНИЧКИ ИНСТИТУТ – БЕОГРАД, 2022)

TY  - BOOK
AU  - Čantrak, Đorđe
PY  - 2022
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6342
AB  - Турбуленција, као један од нерешених проблема класичне физике, привлачи
пажњу бројних истраживача. На овом месту је приказано истраживање
турбулентног вихорног струјања, са профилом обимске брзине карактеристичним за
принудно-потенцијални, Ранкинов вртлог, у цеви применом две оптичке мерне
методе за мерење брзине струјања ПИВ/PIV (particle image velocimetry) и ЛДА
(ласер Доплер анемометрије). Представљени резултати, као и сам текст
публикације, својим већим делом, представљају изводе из докторске дисертације
аутора, као и његових ауторских и коауторских научних радова.
Анализе статистичких карактеристика проучаваног турбулентног вихорног
струјања у цеви иза кола аксијалног вентилатора, које је пројектовано тако да
генерише Ранкинов вртлог, засноване су на најсавременијим експерименталним
истраживањима, применом оптичких мерних техника ПИВ и ЛДА. Коришћене су
стерео ПИВ анемометрија, као и стерео ПИВ анемометрија са брзим камерама и
ласерима (стерео ТР ПИВ, stereo time-resolved PIV), као и једнокомпонентни и
двокомпонентни ЛДА системи. Приказани су неки од добијених експерименталних
резултата, и укратко је изложено објашњење принципа њиховог рада. Презентоване
су бројне могућности анализе добијених експерименталних резултата. Изложен је
коришћени математички апарат за сложене анализе. Уз помоћ корелационо-
спектралне теорије турбуленције дата је математичка интерпретација структуралне
анализе турбуленције. Представљена су физичка тумачења сложених међудејстава
средњег и флуктуационог брзинског поља која карактеришу процесе турбулентног
преноса.
Посебно се проучава феномен прецесије вртложног језгра. При томе се анализирају
утицаји Рејнолдсовог и вихорног броја, као и броја обртаја аксијалног вентилатора
на ове појаве. Физичка интерпретација експерименталних података указује на
значајна структурална својства вртложног турбулентног језгра и смицајног слоја.
Експериментално-корелационом анализом истражује се еволуција статистичких
карактеристика и корелационих момената, на основу чега се закључује о изразитој
нехомогености и анизотропности турбуленције. Измерене расподеле турбулентних
напона помоћу мерне технике стерео ТР ПИВ, омогућиле су формирање
инваријантних мапа анизотропности, тако да је разматрана анизотропност и
структура турбуленције у језгру, смицајном слоју и основном струјању. Додатне
физичке информације о структури турбуленције добијене су из експериментално
одређених аутокорелационих функција и интегралних размера турбуленције, као и
помоћу анализе спектралне функције обимских флуктуационих брзина.
PB  - ВОJНОТЕХНИЧКИ ИНСТИТУТ – БЕОГРАД
T1  - Истраживање турбулентног Ранкиновог вртлога у цеви иза кола аксијалног вентилатора применом оптичких (ПИВ и ЛДА) мерних метода и визуализације
VL  - 59
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6342
ER  - 
@book{
author = "Čantrak, Đorđe",
year = "2022",
abstract = "Турбуленција, као један од нерешених проблема класичне физике, привлачи
пажњу бројних истраживача. На овом месту је приказано истраживање
турбулентног вихорног струјања, са профилом обимске брзине карактеристичним за
принудно-потенцијални, Ранкинов вртлог, у цеви применом две оптичке мерне
методе за мерење брзине струјања ПИВ/PIV (particle image velocimetry) и ЛДА
(ласер Доплер анемометрије). Представљени резултати, као и сам текст
публикације, својим већим делом, представљају изводе из докторске дисертације
аутора, као и његових ауторских и коауторских научних радова.
Анализе статистичких карактеристика проучаваног турбулентног вихорног
струјања у цеви иза кола аксијалног вентилатора, које је пројектовано тако да
генерише Ранкинов вртлог, засноване су на најсавременијим експерименталним
истраживањима, применом оптичких мерних техника ПИВ и ЛДА. Коришћене су
стерео ПИВ анемометрија, као и стерео ПИВ анемометрија са брзим камерама и
ласерима (стерео ТР ПИВ, stereo time-resolved PIV), као и једнокомпонентни и
двокомпонентни ЛДА системи. Приказани су неки од добијених експерименталних
резултата, и укратко је изложено објашњење принципа њиховог рада. Презентоване
су бројне могућности анализе добијених експерименталних резултата. Изложен је
коришћени математички апарат за сложене анализе. Уз помоћ корелационо-
спектралне теорије турбуленције дата је математичка интерпретација структуралне
анализе турбуленције. Представљена су физичка тумачења сложених међудејстава
средњег и флуктуационог брзинског поља која карактеришу процесе турбулентног
преноса.
Посебно се проучава феномен прецесије вртложног језгра. При томе се анализирају
утицаји Рејнолдсовог и вихорног броја, као и броја обртаја аксијалног вентилатора
на ове појаве. Физичка интерпретација експерименталних података указује на
значајна структурална својства вртложног турбулентног језгра и смицајног слоја.
Експериментално-корелационом анализом истражује се еволуција статистичких
карактеристика и корелационих момената, на основу чега се закључује о изразитој
нехомогености и анизотропности турбуленције. Измерене расподеле турбулентних
напона помоћу мерне технике стерео ТР ПИВ, омогућиле су формирање
инваријантних мапа анизотропности, тако да је разматрана анизотропност и
структура турбуленције у језгру, смицајном слоју и основном струјању. Додатне
физичке информације о структури турбуленције добијене су из експериментално
одређених аутокорелационих функција и интегралних размера турбуленције, као и
помоћу анализе спектралне функције обимских флуктуационих брзина.",
publisher = "ВОJНОТЕХНИЧКИ ИНСТИТУТ – БЕОГРАД",
title = "Истраживање турбулентног Ранкиновог вртлога у цеви иза кола аксијалног вентилатора применом оптичких (ПИВ и ЛДА) мерних метода и визуализације",
volume = "59",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6342"
}
Čantrak, Đ.. (2022). Истраживање турбулентног Ранкиновог вртлога у цеви иза кола аксијалног вентилатора применом оптичких (ПИВ и ЛДА) мерних метода и визуализације. 
ВОJНОТЕХНИЧКИ ИНСТИТУТ – БЕОГРАД., 59.
https://hdl.handle.net/21.15107/rcub_machinery_6342
Čantrak Đ. Истраживање турбулентног Ранкиновог вртлога у цеви иза кола аксијалног вентилатора применом оптичких (ПИВ и ЛДА) мерних метода и визуализације. 2022;59.
https://hdl.handle.net/21.15107/rcub_machinery_6342 .
Čantrak, Đorđe, "Истраживање турбулентног Ранкиновог вртлога у цеви иза кола аксијалног вентилатора применом оптичких (ПИВ и ЛДА) мерних метода и визуализације", 59 (2022),
https://hdl.handle.net/21.15107/rcub_machinery_6342 .

PREDAVANJE PO POZIVU: THE NATIONAL STANDARD FOR VELOCIMETRY AND POSSIBILITIES FOR IT IN SERBIA

Čantrak, Đorđe

(SOCIETY OF THERMAL ENGINEERS OF SERBIA, 2022)

TY  - CONF
AU  - Čantrak, Đorđe
PY  - 2022
UR  - https://ieep-2022.drustvo-termicara.com/book
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6335
AB  - Velocimetry has a long tradition in Serbia. Anyhow, constant improvement of the
laboratories calibration and measurement capabilities (CMC) is an ongoing effort. Serbia, although
it has good capabilities in this field, still doesn’t have a national standard for velocimetry. Reliable
velocimetry is a starting point in various sectors of energy production, numerous industrial
branches, health, educational, business and sport centers, as well as in residential buildings, and etc.
Realization of this national standard would influence and improve national industry capabilities,
energy efficiency in general, health and environmental protection procedures, climate analysis,
forecasts and hydrology. Various international and national standards treat velocimetry, especially,
as a tool in determination of the flow rate in closed conduits and open channels. This opens a whole
new area of validation of the volume flow rate calibration in laboratory, as well as in situ. In this
paper will be presented novel velocimetry techniques and their capabilities implemented in the
Laboratory for turbulence and velocimetry at the Faculty of Mechanical Engineering. Here are
presented following measurement techniques: multihole probes, hot-wire anemometry, laser
Doppler velocimetry (three-component) and image-based velocimetry techniques (particle image
velocimetry (PIV) and micro PIV). In the Laboratory are implemented stereo PIV and high speed
stereo PIV. In addition to this, constant upgrading of the existing systems is followed by the
development of the new techniques and procedures. These complex measurement techniques are
employed in research of various flow phenomena, what will be presented in short.
PB  - SOCIETY OF THERMAL ENGINEERS OF SERBIA
C3  - FULL PAPERS PROCEEDINGS OF INTERNATIONAL CONFERENCE "IEEP 2022", NOVEMBER 08-09, 2022, FACULTY OF MECHANICAL ENGINEERING OF THE UNIVERSITY OF BELGRADE, BELGRADE, SERBIA
T1  - PREDAVANJE PO POZIVU: THE NATIONAL STANDARD FOR VELOCIMETRY AND POSSIBILITIES FOR IT IN SERBIA
SP  - 241
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6335
ER  - 
@conference{
author = "Čantrak, Đorđe",
year = "2022",
abstract = "Velocimetry has a long tradition in Serbia. Anyhow, constant improvement of the
laboratories calibration and measurement capabilities (CMC) is an ongoing effort. Serbia, although
it has good capabilities in this field, still doesn’t have a national standard for velocimetry. Reliable
velocimetry is a starting point in various sectors of energy production, numerous industrial
branches, health, educational, business and sport centers, as well as in residential buildings, and etc.
Realization of this national standard would influence and improve national industry capabilities,
energy efficiency in general, health and environmental protection procedures, climate analysis,
forecasts and hydrology. Various international and national standards treat velocimetry, especially,
as a tool in determination of the flow rate in closed conduits and open channels. This opens a whole
new area of validation of the volume flow rate calibration in laboratory, as well as in situ. In this
paper will be presented novel velocimetry techniques and their capabilities implemented in the
Laboratory for turbulence and velocimetry at the Faculty of Mechanical Engineering. Here are
presented following measurement techniques: multihole probes, hot-wire anemometry, laser
Doppler velocimetry (three-component) and image-based velocimetry techniques (particle image
velocimetry (PIV) and micro PIV). In the Laboratory are implemented stereo PIV and high speed
stereo PIV. In addition to this, constant upgrading of the existing systems is followed by the
development of the new techniques and procedures. These complex measurement techniques are
employed in research of various flow phenomena, what will be presented in short.",
publisher = "SOCIETY OF THERMAL ENGINEERS OF SERBIA",
journal = "FULL PAPERS PROCEEDINGS OF INTERNATIONAL CONFERENCE "IEEP 2022", NOVEMBER 08-09, 2022, FACULTY OF MECHANICAL ENGINEERING OF THE UNIVERSITY OF BELGRADE, BELGRADE, SERBIA",
title = "PREDAVANJE PO POZIVU: THE NATIONAL STANDARD FOR VELOCIMETRY AND POSSIBILITIES FOR IT IN SERBIA",
pages = "241",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6335"
}
Čantrak, Đ.. (2022). PREDAVANJE PO POZIVU: THE NATIONAL STANDARD FOR VELOCIMETRY AND POSSIBILITIES FOR IT IN SERBIA. in FULL PAPERS PROCEEDINGS OF INTERNATIONAL CONFERENCE "IEEP 2022", NOVEMBER 08-09, 2022, FACULTY OF MECHANICAL ENGINEERING OF THE UNIVERSITY OF BELGRADE, BELGRADE, SERBIA
SOCIETY OF THERMAL ENGINEERS OF SERBIA., 241.
https://hdl.handle.net/21.15107/rcub_machinery_6335
Čantrak Đ. PREDAVANJE PO POZIVU: THE NATIONAL STANDARD FOR VELOCIMETRY AND POSSIBILITIES FOR IT IN SERBIA. in FULL PAPERS PROCEEDINGS OF INTERNATIONAL CONFERENCE "IEEP 2022", NOVEMBER 08-09, 2022, FACULTY OF MECHANICAL ENGINEERING OF THE UNIVERSITY OF BELGRADE, BELGRADE, SERBIA. 2022;:241.
https://hdl.handle.net/21.15107/rcub_machinery_6335 .
Čantrak, Đorđe, "PREDAVANJE PO POZIVU: THE NATIONAL STANDARD FOR VELOCIMETRY AND POSSIBILITIES FOR IT IN SERBIA" in FULL PAPERS PROCEEDINGS OF INTERNATIONAL CONFERENCE "IEEP 2022", NOVEMBER 08-09, 2022, FACULTY OF MECHANICAL ENGINEERING OF THE UNIVERSITY OF BELGRADE, BELGRADE, SERBIA (2022):241,
https://hdl.handle.net/21.15107/rcub_machinery_6335 .

ASSURED CAPACITY, TOTAL ASSURED CAPACITY AND DISPATCHABILITY OF SERBIAN POWER SYSTEM AND POWER PLANTS – A CONTRIBUTION TO THE RESEARCH,

Grković, Vojin; Čantrak, Đorđe; Benišek, Miroslav; Petrović, Dragan; Doder, Djordjije

(Друштво термичара Србије, 2022)

TY  - CONF
AU  - Grković, Vojin
AU  - Čantrak, Đorđe
AU  - Benišek, Miroslav
AU  - Petrović, Dragan
AU  - Doder, Djordjije
PY  - 2022
UR  - https://ieep-2022.drustvo-termicara.com/book
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6484
AB  - In electricity generating systems with high penetration of i-RES, the ability of change the
power on demand has increasing importance. Following recently published Ulrich’s and Schiffer's
approach with assured capacity; in this paper is defined term total assured capacity and is further
applied together with dispatchability indicator and possible duration of load change to indicate
dispatchability of Serbian power system (EPS). The results of the performed analyses are presented.
Total assured capacity appears as very sensitive indicator and its numerical value changes
significantly if, in the hypothetical case, one technology e.g., lignite fired power plants have to be
substituted with the other technology like wind turbines. An overview of participation different
technologies for electricity generation within Serbian power system is presented together with a
comparison with German power system. Numerical values of dispatchability factors for EPS’s fossil
fueled power plants are presented and discussed. It is underlined the necessity of a specific project
study for EPS’s power plants to be performed aimed to define real technology possibilities, limitations
that are conditioned by the quality of lignite, as well as the cost increase that arise in satisfying the
needs to change the power on demand in conditions determined by hypothetical increase of i-RES
electricity generation.
PB  - Друштво термичара Србије
C3  - Full Papers Proceedings of International Conference "IEEP 2022", November 08-09, 2022, Faculty of Mechanical Engineering of the University of Belgrade, Belgrade, Serbia
T1  - ASSURED CAPACITY, TOTAL ASSURED CAPACITY AND DISPATCHABILITY OF SERBIAN POWER SYSTEM AND POWER PLANTS – A CONTRIBUTION TO THE RESEARCH,
SP  - 49
SP  - ieep2022-106
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6484
ER  - 
@conference{
author = "Grković, Vojin and Čantrak, Đorđe and Benišek, Miroslav and Petrović, Dragan and Doder, Djordjije",
year = "2022",
abstract = "In electricity generating systems with high penetration of i-RES, the ability of change the
power on demand has increasing importance. Following recently published Ulrich’s and Schiffer's
approach with assured capacity; in this paper is defined term total assured capacity and is further
applied together with dispatchability indicator and possible duration of load change to indicate
dispatchability of Serbian power system (EPS). The results of the performed analyses are presented.
Total assured capacity appears as very sensitive indicator and its numerical value changes
significantly if, in the hypothetical case, one technology e.g., lignite fired power plants have to be
substituted with the other technology like wind turbines. An overview of participation different
technologies for electricity generation within Serbian power system is presented together with a
comparison with German power system. Numerical values of dispatchability factors for EPS’s fossil
fueled power plants are presented and discussed. It is underlined the necessity of a specific project
study for EPS’s power plants to be performed aimed to define real technology possibilities, limitations
that are conditioned by the quality of lignite, as well as the cost increase that arise in satisfying the
needs to change the power on demand in conditions determined by hypothetical increase of i-RES
electricity generation.",
publisher = "Друштво термичара Србије",
journal = "Full Papers Proceedings of International Conference "IEEP 2022", November 08-09, 2022, Faculty of Mechanical Engineering of the University of Belgrade, Belgrade, Serbia",
title = "ASSURED CAPACITY, TOTAL ASSURED CAPACITY AND DISPATCHABILITY OF SERBIAN POWER SYSTEM AND POWER PLANTS – A CONTRIBUTION TO THE RESEARCH,",
pages = "49-ieep2022-106",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6484"
}
Grković, V., Čantrak, Đ., Benišek, M., Petrović, D.,& Doder, D.. (2022). ASSURED CAPACITY, TOTAL ASSURED CAPACITY AND DISPATCHABILITY OF SERBIAN POWER SYSTEM AND POWER PLANTS – A CONTRIBUTION TO THE RESEARCH,. in Full Papers Proceedings of International Conference "IEEP 2022", November 08-09, 2022, Faculty of Mechanical Engineering of the University of Belgrade, Belgrade, Serbia
Друштво термичара Србије., 49.
https://hdl.handle.net/21.15107/rcub_machinery_6484
Grković V, Čantrak Đ, Benišek M, Petrović D, Doder D. ASSURED CAPACITY, TOTAL ASSURED CAPACITY AND DISPATCHABILITY OF SERBIAN POWER SYSTEM AND POWER PLANTS – A CONTRIBUTION TO THE RESEARCH,. in Full Papers Proceedings of International Conference "IEEP 2022", November 08-09, 2022, Faculty of Mechanical Engineering of the University of Belgrade, Belgrade, Serbia. 2022;:49.
https://hdl.handle.net/21.15107/rcub_machinery_6484 .
Grković, Vojin, Čantrak, Đorđe, Benišek, Miroslav, Petrović, Dragan, Doder, Djordjije, "ASSURED CAPACITY, TOTAL ASSURED CAPACITY AND DISPATCHABILITY OF SERBIAN POWER SYSTEM AND POWER PLANTS – A CONTRIBUTION TO THE RESEARCH," in Full Papers Proceedings of International Conference "IEEP 2022", November 08-09, 2022, Faculty of Mechanical Engineering of the University of Belgrade, Belgrade, Serbia (2022):49,
https://hdl.handle.net/21.15107/rcub_machinery_6484 .

High Speed Stereo PIV Investigation of the Turbuelnce Structure of the Axially Restricted Turbulent Swirl Flow behind the Axial Fan in Pipe

Čantrak, Đorđe; Janković, Novica

(SAGE JOURNALS, 2022)

TY  - JOUR
AU  - Čantrak, Đorđe
AU  - Janković, Novica
PY  - 2022
UR  - https://journals.sagepub.com/doi/10.1177/16878132221130563
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6338
AB  - Investigation of the turbulent swirl flow in the piping system is one of the most complex investigations in the field of energetics and turbulence. Axial fans in a pipe, without guide vanes, are widely used in practice and the problem of their duty point and energy efficiency is still extensively discussed. Analysis of the interaction between axial fans energy and construction parameters is one of the main topics in defining the fans energy efficiency potential. On one side, there is a three-dimensional velocity field in the wall-bounded flow with regions of great turbulence intensity. On the other side, there is a complex blade geometry, which generates the turbulent swirl flow. This paper presents research on the turbulent swirl flow, Rankine type, in an axially restricted system, using high-speed stereo particle image velocimetry (HSS PIV). Axial fan impeller, with outer diameter 0.399 m and nine twisted blades is the flow generator. The Reynolds number Re = 176,529 is achieved in the pipe. Reynolds stresses, statistical moments of higher order, and invariant maps are calculated based on the three component velocity fields. Here, intensive changes of all statistical parameters occur in radial and axial direction. In the flow region, four flow regions can be identified. Interaction of all these four flow regions produces extremely complex turbulent swirl flow, which is generated behind the axial fans. Determined invariant maps reveal turbulence structure. It is shown that the state of turbulence on the pipe axis is three-component isotropic, which is contrary to the case of axially unrestricted turbulent swirl flows. In the rest of the space, in the region up to r/R = 0.52, the states of turbulence occur in the area in between the boundaries which designate axis-symmetric turbulence (contraction) and axis-symmetric turbulence (expansion), in the vicinity of the state of three-component isotropic turbulence.
PB  - SAGE JOURNALS
T2  - Advances in Mechanical Engineering
T1  - High Speed Stereo PIV Investigation of the Turbuelnce Structure of the Axially Restricted Turbulent Swirl Flow behind the Axial Fan in Pipe
VL  - 14
DO  - 10.1177/16878132221130563
ER  - 
@article{
author = "Čantrak, Đorđe and Janković, Novica",
year = "2022",
abstract = "Investigation of the turbulent swirl flow in the piping system is one of the most complex investigations in the field of energetics and turbulence. Axial fans in a pipe, without guide vanes, are widely used in practice and the problem of their duty point and energy efficiency is still extensively discussed. Analysis of the interaction between axial fans energy and construction parameters is one of the main topics in defining the fans energy efficiency potential. On one side, there is a three-dimensional velocity field in the wall-bounded flow with regions of great turbulence intensity. On the other side, there is a complex blade geometry, which generates the turbulent swirl flow. This paper presents research on the turbulent swirl flow, Rankine type, in an axially restricted system, using high-speed stereo particle image velocimetry (HSS PIV). Axial fan impeller, with outer diameter 0.399 m and nine twisted blades is the flow generator. The Reynolds number Re = 176,529 is achieved in the pipe. Reynolds stresses, statistical moments of higher order, and invariant maps are calculated based on the three component velocity fields. Here, intensive changes of all statistical parameters occur in radial and axial direction. In the flow region, four flow regions can be identified. Interaction of all these four flow regions produces extremely complex turbulent swirl flow, which is generated behind the axial fans. Determined invariant maps reveal turbulence structure. It is shown that the state of turbulence on the pipe axis is three-component isotropic, which is contrary to the case of axially unrestricted turbulent swirl flows. In the rest of the space, in the region up to r/R = 0.52, the states of turbulence occur in the area in between the boundaries which designate axis-symmetric turbulence (contraction) and axis-symmetric turbulence (expansion), in the vicinity of the state of three-component isotropic turbulence.",
publisher = "SAGE JOURNALS",
journal = "Advances in Mechanical Engineering",
title = "High Speed Stereo PIV Investigation of the Turbuelnce Structure of the Axially Restricted Turbulent Swirl Flow behind the Axial Fan in Pipe",
volume = "14",
doi = "10.1177/16878132221130563"
}
Čantrak, Đ.,& Janković, N.. (2022). High Speed Stereo PIV Investigation of the Turbuelnce Structure of the Axially Restricted Turbulent Swirl Flow behind the Axial Fan in Pipe. in Advances in Mechanical Engineering
SAGE JOURNALS., 14.
https://doi.org/10.1177/16878132221130563
Čantrak Đ, Janković N. High Speed Stereo PIV Investigation of the Turbuelnce Structure of the Axially Restricted Turbulent Swirl Flow behind the Axial Fan in Pipe. in Advances in Mechanical Engineering. 2022;14.
doi:10.1177/16878132221130563 .
Čantrak, Đorđe, Janković, Novica, "High Speed Stereo PIV Investigation of the Turbuelnce Structure of the Axially Restricted Turbulent Swirl Flow behind the Axial Fan in Pipe" in Advances in Mechanical Engineering, 14 (2022),
https://doi.org/10.1177/16878132221130563 . .
1

Turbulence Structure and Dynamics Investigation of Turbulent Swirl Flow in Pipe Using High-Speed Stereo PIV Data

Čantrak, Đorđe; Janković, Novica

(MDPI, 2022)

TY  - JOUR
AU  - Čantrak, Đorđe
AU  - Janković, Novica
PY  - 2022
UR  - https://www.mdpi.com/1996-1073/15/15/5417
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6336
AB  - Turbulent swirl flow, which exists in numerous turbomachinery systems, is the focus of
this paper. It consumes a significant amount of energy, so it is a subject of investigation for many
researchers. It is even more present in ventilation systems, as numerous axial fans are still installed without guide vanes. The experimental investigation of the turbulent swirl flow behind an axial fan in a pipe, installed in a test rig with a free inlet and ducted outlet, as defined in the international standard ISO 5801, is presented in this paper. Moreover, in this paper, the axially restricted case is studied. A designed axial fan generates a Rankine vortex with a complex structure, and research on the vortex turbulence structure and dynamics is presented. On the basis of the HSS PIV (high-speed stereo particle image velocimetry), measurement results are calculated using invariant maps. All states of turbulence anisotropy are thoroughly analyzed by applying the invariant theory on HSS PIV results. Vortex dynamics is observed on the basis of the total velocity minima positions and their repetitions. Both methods are correlated, and important conclusions regarding vortex behavior are deduced.
PB  - MDPI
T2  - Energies
T1  - Turbulence Structure and Dynamics Investigation of Turbulent Swirl Flow in Pipe Using High-Speed Stereo PIV Data
VL  - 15
DO  - 10.3390/en15155417
ER  - 
@article{
author = "Čantrak, Đorđe and Janković, Novica",
year = "2022",
abstract = "Turbulent swirl flow, which exists in numerous turbomachinery systems, is the focus of
this paper. It consumes a significant amount of energy, so it is a subject of investigation for many
researchers. It is even more present in ventilation systems, as numerous axial fans are still installed without guide vanes. The experimental investigation of the turbulent swirl flow behind an axial fan in a pipe, installed in a test rig with a free inlet and ducted outlet, as defined in the international standard ISO 5801, is presented in this paper. Moreover, in this paper, the axially restricted case is studied. A designed axial fan generates a Rankine vortex with a complex structure, and research on the vortex turbulence structure and dynamics is presented. On the basis of the HSS PIV (high-speed stereo particle image velocimetry), measurement results are calculated using invariant maps. All states of turbulence anisotropy are thoroughly analyzed by applying the invariant theory on HSS PIV results. Vortex dynamics is observed on the basis of the total velocity minima positions and their repetitions. Both methods are correlated, and important conclusions regarding vortex behavior are deduced.",
publisher = "MDPI",
journal = "Energies",
title = "Turbulence Structure and Dynamics Investigation of Turbulent Swirl Flow in Pipe Using High-Speed Stereo PIV Data",
volume = "15",
doi = "10.3390/en15155417"
}
Čantrak, Đ.,& Janković, N.. (2022). Turbulence Structure and Dynamics Investigation of Turbulent Swirl Flow in Pipe Using High-Speed Stereo PIV Data. in Energies
MDPI., 15.
https://doi.org/10.3390/en15155417
Čantrak Đ, Janković N. Turbulence Structure and Dynamics Investigation of Turbulent Swirl Flow in Pipe Using High-Speed Stereo PIV Data. in Energies. 2022;15.
doi:10.3390/en15155417 .
Čantrak, Đorđe, Janković, Novica, "Turbulence Structure and Dynamics Investigation of Turbulent Swirl Flow in Pipe Using High-Speed Stereo PIV Data" in Energies, 15 (2022),
https://doi.org/10.3390/en15155417 . .
3
4

Praktikum za laboratorijske vežbe iz merenja pri strujanju fluida

Ilić, Dejan; Čantrak, Đorđe

(Машински факултет Универзитета у Београду, 2022)

TY  - BOOK
AU  - Ilić, Dejan
AU  - Čantrak, Đorđe
PY  - 2022
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5012
PB  - Машински факултет Универзитета у Београду
T1  - Praktikum za laboratorijske vežbe iz merenja pri strujanju fluida
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5012
ER  - 
@book{
author = "Ilić, Dejan and Čantrak, Đorđe",
year = "2022",
publisher = "Машински факултет Универзитета у Београду",
title = "Praktikum za laboratorijske vežbe iz merenja pri strujanju fluida",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5012"
}
Ilić, D.,& Čantrak, Đ.. (2022). Praktikum za laboratorijske vežbe iz merenja pri strujanju fluida. 
Машински факултет Универзитета у Београду..
https://hdl.handle.net/21.15107/rcub_machinery_5012
Ilić D, Čantrak Đ. Praktikum za laboratorijske vežbe iz merenja pri strujanju fluida. 2022;.
https://hdl.handle.net/21.15107/rcub_machinery_5012 .
Ilić, Dejan, Čantrak, Đorđe, "Praktikum za laboratorijske vežbe iz merenja pri strujanju fluida" (2022),
https://hdl.handle.net/21.15107/rcub_machinery_5012 .

Stereo PIV and Flow Visualizations in the Turbulent Swirl Flow Investigation of the Rankine Type in the Pipe behind the Axial Fan

Čantrak, Đorđe; Janković, Novica

(2021)

TY  - CONF
AU  - Čantrak, Đorđe
AU  - Janković, Novica
PY  - 2021
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6843
C3  - 19th International Symposium on Flow Visualization, ISFV 19, Shanghai, China, Sept. 14-16, Session 10: Industrial Flow, Sept. 15th
T1  - Stereo PIV and Flow Visualizations in the Turbulent Swirl Flow Investigation of the Rankine Type in the Pipe behind the Axial Fan
EP  - 209
SP  - 201
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6843
ER  - 
@conference{
author = "Čantrak, Đorđe and Janković, Novica",
year = "2021",
journal = "19th International Symposium on Flow Visualization, ISFV 19, Shanghai, China, Sept. 14-16, Session 10: Industrial Flow, Sept. 15th",
title = "Stereo PIV and Flow Visualizations in the Turbulent Swirl Flow Investigation of the Rankine Type in the Pipe behind the Axial Fan",
pages = "209-201",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6843"
}
Čantrak, Đ.,& Janković, N.. (2021). Stereo PIV and Flow Visualizations in the Turbulent Swirl Flow Investigation of the Rankine Type in the Pipe behind the Axial Fan. in 19th International Symposium on Flow Visualization, ISFV 19, Shanghai, China, Sept. 14-16, Session 10: Industrial Flow, Sept. 15th, 201-209.
https://hdl.handle.net/21.15107/rcub_machinery_6843
Čantrak Đ, Janković N. Stereo PIV and Flow Visualizations in the Turbulent Swirl Flow Investigation of the Rankine Type in the Pipe behind the Axial Fan. in 19th International Symposium on Flow Visualization, ISFV 19, Shanghai, China, Sept. 14-16, Session 10: Industrial Flow, Sept. 15th. 2021;:201-209.
https://hdl.handle.net/21.15107/rcub_machinery_6843 .
Čantrak, Đorđe, Janković, Novica, "Stereo PIV and Flow Visualizations in the Turbulent Swirl Flow Investigation of the Rankine Type in the Pipe behind the Axial Fan" in 19th International Symposium on Flow Visualization, ISFV 19, Shanghai, China, Sept. 14-16, Session 10: Industrial Flow, Sept. 15th (2021):201-209,
https://hdl.handle.net/21.15107/rcub_machinery_6843 .

Turbulent Swirl Flow Analysis by Kolmogorov’s Similarity Hypotheses

Čantrak, Đorđe; Janković, Novica; Nedeljković, Miloš

(WILEY, 2021)

TY  - CONF
AU  - Čantrak, Đorđe
AU  - Janković, Novica
AU  - Nedeljković, Miloš
PY  - 2021
UR  - https://onlinelibrary.wiley.com/doi/10.1002/pamm.202000051
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6351
AB  - Kolmogorov has formulated his two hypotheses of similarity in 1941 considering local-isotropic turbulence, and later has
refined his theory [1, 2]. In this paper are discussed three turbulent swirl flows generated by the three various axial fan types
in-built in the pipe. The spectral characteristics of the generated turbulent swirl flows are determined on the basis on the LDA
(laser Doppler anemometry) experimental data for the circumferential velocity. In the inertial subranges these curves have the
same tangent and obey the “- 5/3” Kolmogorov law. It is shown that in the generated turbulent swirl flows occur eddies of
various scales, encompassing very wide spectra of wave numbers, i.e. frequencies.
PB  - WILEY
C3  - Proceedings in Applied Mathematics and Mechanics (PAMM)
T1  - Turbulent Swirl Flow Analysis by Kolmogorov’s Similarity Hypotheses
VL  - 20
DO  - 10.1002/pamm.202000051
ER  - 
@conference{
author = "Čantrak, Đorđe and Janković, Novica and Nedeljković, Miloš",
year = "2021",
abstract = "Kolmogorov has formulated his two hypotheses of similarity in 1941 considering local-isotropic turbulence, and later has
refined his theory [1, 2]. In this paper are discussed three turbulent swirl flows generated by the three various axial fan types
in-built in the pipe. The spectral characteristics of the generated turbulent swirl flows are determined on the basis on the LDA
(laser Doppler anemometry) experimental data for the circumferential velocity. In the inertial subranges these curves have the
same tangent and obey the “- 5/3” Kolmogorov law. It is shown that in the generated turbulent swirl flows occur eddies of
various scales, encompassing very wide spectra of wave numbers, i.e. frequencies.",
publisher = "WILEY",
journal = "Proceedings in Applied Mathematics and Mechanics (PAMM)",
title = "Turbulent Swirl Flow Analysis by Kolmogorov’s Similarity Hypotheses",
volume = "20",
doi = "10.1002/pamm.202000051"
}
Čantrak, Đ., Janković, N.,& Nedeljković, M.. (2021). Turbulent Swirl Flow Analysis by Kolmogorov’s Similarity Hypotheses. in Proceedings in Applied Mathematics and Mechanics (PAMM)
WILEY., 20.
https://doi.org/10.1002/pamm.202000051
Čantrak Đ, Janković N, Nedeljković M. Turbulent Swirl Flow Analysis by Kolmogorov’s Similarity Hypotheses. in Proceedings in Applied Mathematics and Mechanics (PAMM). 2021;20.
doi:10.1002/pamm.202000051 .
Čantrak, Đorđe, Janković, Novica, Nedeljković, Miloš, "Turbulent Swirl Flow Analysis by Kolmogorov’s Similarity Hypotheses" in Proceedings in Applied Mathematics and Mechanics (PAMM), 20 (2021),
https://doi.org/10.1002/pamm.202000051 . .
1

Kolmogorov's similarity hypothesis application in research of the turbulent swirl flows in pipe generated by the various axial fan geometries

Čantrak, Đorđe; Janković, Novica; Nedeljković, Miloš

(2021)

TY  - CONF
AU  - Čantrak, Đorđe
AU  - Janković, Novica
AU  - Nedeljković, Miloš
PY  - 2021
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6842
C3  - 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM, Section S10: Turbulence and reactive flows, Uni. Kassel, March 15-19, Book of Abstracts
T1  - Kolmogorov's similarity hypothesis application in research of the turbulent swirl flows in pipe generated by the various axial fan geometries
EP  - 360
SP  - 359
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6842
ER  - 
@conference{
author = "Čantrak, Đorđe and Janković, Novica and Nedeljković, Miloš",
year = "2021",
journal = "91st Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM, Section S10: Turbulence and reactive flows, Uni. Kassel, March 15-19, Book of Abstracts",
title = "Kolmogorov's similarity hypothesis application in research of the turbulent swirl flows in pipe generated by the various axial fan geometries",
pages = "360-359",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6842"
}
Čantrak, Đ., Janković, N.,& Nedeljković, M.. (2021). Kolmogorov's similarity hypothesis application in research of the turbulent swirl flows in pipe generated by the various axial fan geometries. in 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM, Section S10: Turbulence and reactive flows, Uni. Kassel, March 15-19, Book of Abstracts, 359-360.
https://hdl.handle.net/21.15107/rcub_machinery_6842
Čantrak Đ, Janković N, Nedeljković M. Kolmogorov's similarity hypothesis application in research of the turbulent swirl flows in pipe generated by the various axial fan geometries. in 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM, Section S10: Turbulence and reactive flows, Uni. Kassel, March 15-19, Book of Abstracts. 2021;:359-360.
https://hdl.handle.net/21.15107/rcub_machinery_6842 .
Čantrak, Đorđe, Janković, Novica, Nedeljković, Miloš, "Kolmogorov's similarity hypothesis application in research of the turbulent swirl flows in pipe generated by the various axial fan geometries" in 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM, Section S10: Turbulence and reactive flows, Uni. Kassel, March 15-19, Book of Abstracts (2021):359-360,
https://hdl.handle.net/21.15107/rcub_machinery_6842 .

Показно-образовна инсталација за испитивање пумпи у лабораторији и преко интернета

Janković, Novica; Nedeljković, Miloš; Atanasijević, P.; Čantrak, Đorđe; Ilić, Dejan

(Београд : Грађевински факултет, 2021)

TY  - CONF
AU  - Janković, Novica
AU  - Nedeljković, Miloš
AU  - Atanasijević, P.
AU  - Čantrak, Đorđe
AU  - Ilić, Dejan
PY  - 2021
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6826
PB  - Београд : Грађевински факултет
C3  - Зборник радова 19. научног саветовања Српског друштва за хидрауличка истраживања и Српског друштва за хидрологију, Београд, 18-19. октобар 2021
T1  - Показно-образовна инсталација за испитивање пумпи у лабораторији и преко интернета
EP  - 46
SP  - 45
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6826
ER  - 
@conference{
author = "Janković, Novica and Nedeljković, Miloš and Atanasijević, P. and Čantrak, Đorđe and Ilić, Dejan",
year = "2021",
publisher = "Београд : Грађевински факултет",
journal = "Зборник радова 19. научног саветовања Српског друштва за хидрауличка истраживања и Српског друштва за хидрологију, Београд, 18-19. октобар 2021",
title = "Показно-образовна инсталација за испитивање пумпи у лабораторији и преко интернета",
pages = "46-45",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6826"
}
Janković, N., Nedeljković, M., Atanasijević, P., Čantrak, Đ.,& Ilić, D.. (2021). Показно-образовна инсталација за испитивање пумпи у лабораторији и преко интернета. in Зборник радова 19. научног саветовања Српског друштва за хидрауличка истраживања и Српског друштва за хидрологију, Београд, 18-19. октобар 2021
Београд : Грађевински факултет., 45-46.
https://hdl.handle.net/21.15107/rcub_machinery_6826
Janković N, Nedeljković M, Atanasijević P, Čantrak Đ, Ilić D. Показно-образовна инсталација за испитивање пумпи у лабораторији и преко интернета. in Зборник радова 19. научног саветовања Српског друштва за хидрауличка истраживања и Српског друштва за хидрологију, Београд, 18-19. октобар 2021. 2021;:45-46.
https://hdl.handle.net/21.15107/rcub_machinery_6826 .
Janković, Novica, Nedeljković, Miloš, Atanasijević, P., Čantrak, Đorđe, Ilić, Dejan, "Показно-образовна инсталација за испитивање пумпи у лабораторији и преко интернета" in Зборник радова 19. научног саветовања Српског друштва за хидрауличка истраживања и Српског друштва за хидрологију, Београд, 18-19. октобар 2021 (2021):45-46,
https://hdl.handle.net/21.15107/rcub_machinery_6826 .

Forced Vortex in Turbulent Swirling Flow

Čantrak, Đorđe; Janković, Novica; Lečić, Milan

(Belgrade : Serbian Society of Mechanics, 2021)

TY  - CONF
AU  - Čantrak, Đorđe
AU  - Janković, Novica
AU  - Lečić, Milan
PY  - 2021
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6820
PB  - Belgrade : Serbian Society of Mechanics
C3  - The 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30 2021., Proceedings, Minisymposium M2: Turbulence
T1  - Forced Vortex in Turbulent Swirling Flow
EP  - 516
SP  - 509
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6820
ER  - 
@conference{
author = "Čantrak, Đorđe and Janković, Novica and Lečić, Milan",
year = "2021",
publisher = "Belgrade : Serbian Society of Mechanics",
journal = "The 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30 2021., Proceedings, Minisymposium M2: Turbulence",
title = "Forced Vortex in Turbulent Swirling Flow",
pages = "516-509",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6820"
}
Čantrak, Đ., Janković, N.,& Lečić, M.. (2021). Forced Vortex in Turbulent Swirling Flow. in The 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30 2021., Proceedings, Minisymposium M2: Turbulence
Belgrade : Serbian Society of Mechanics., 509-516.
https://hdl.handle.net/21.15107/rcub_machinery_6820
Čantrak Đ, Janković N, Lečić M. Forced Vortex in Turbulent Swirling Flow. in The 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30 2021., Proceedings, Minisymposium M2: Turbulence. 2021;:509-516.
https://hdl.handle.net/21.15107/rcub_machinery_6820 .
Čantrak, Đorđe, Janković, Novica, Lečić, Milan, "Forced Vortex in Turbulent Swirling Flow" in The 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30 2021., Proceedings, Minisymposium M2: Turbulence (2021):509-516,
https://hdl.handle.net/21.15107/rcub_machinery_6820 .

LDA Experimental Research of Turbulent Swirling Flow Behind the Axial Fans in Pipe, Jet and Diffuser

Čantrak, Đorđe; Janković, Novica; Ilić, Dejan

(Springer, 2021)

TY  - CONF
AU  - Čantrak, Đorđe
AU  - Janković, Novica
AU  - Ilić, Dejan
PY  - 2021
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3682
AB  - In this paper is analyzed turbulent swirling flow generated by axial fans. Three cases will be presented. The first one is the axial fan impeller in-built in the pipe 27.74D long, where D = 0.4 m is pipe inner diameter. The second case is study of the turbulent swirling flow in the free jet generated by the axial fan impeller with casing. The third case is conical diffuser with the inlet diameter D = 0.4 m and total divergence angle of 8.6°, studied in the test chamber followed by the flow meter. Axial fan, even in the case of the same impeller geometry, had various duty points in all these installations. All regimes were adjusted by the continuous fan rotation speed regulation, as well as with the impeller blade angles. Only in the case of the installation with diffuser, additional regulating valve and booster fan were sometimes applied. In all these cases was used laser Doppler anemometry (LDA), one- and three-component systems. All generated flows are extremely turbulent and in the case of the pipe and diffuser occur reverse flows in the central flow region. In the paper will be discussed calculated integral values, such as average circulation or swirl number. Time-averaged circumferential velocity profiles revealed Rankine vortex type in pipe, while in the diffuser is generated, with the different type of impeller, solid body profile. Turbulence levels and their distributions are analyzed. In addition, statistical moments of the higher order, like skewness and flatness factors are discussed.
PB  - Springer
C3  - Lecture Notes in Networks and Systems
T1  - LDA Experimental Research of Turbulent Swirling Flow Behind the Axial Fans in Pipe, Jet and Diffuser
EP  - 202
SP  - 184
VL  - 153
DO  - 10.1007/978-3-030-58362-0_12
ER  - 
@conference{
author = "Čantrak, Đorđe and Janković, Novica and Ilić, Dejan",
year = "2021",
abstract = "In this paper is analyzed turbulent swirling flow generated by axial fans. Three cases will be presented. The first one is the axial fan impeller in-built in the pipe 27.74D long, where D = 0.4 m is pipe inner diameter. The second case is study of the turbulent swirling flow in the free jet generated by the axial fan impeller with casing. The third case is conical diffuser with the inlet diameter D = 0.4 m and total divergence angle of 8.6°, studied in the test chamber followed by the flow meter. Axial fan, even in the case of the same impeller geometry, had various duty points in all these installations. All regimes were adjusted by the continuous fan rotation speed regulation, as well as with the impeller blade angles. Only in the case of the installation with diffuser, additional regulating valve and booster fan were sometimes applied. In all these cases was used laser Doppler anemometry (LDA), one- and three-component systems. All generated flows are extremely turbulent and in the case of the pipe and diffuser occur reverse flows in the central flow region. In the paper will be discussed calculated integral values, such as average circulation or swirl number. Time-averaged circumferential velocity profiles revealed Rankine vortex type in pipe, while in the diffuser is generated, with the different type of impeller, solid body profile. Turbulence levels and their distributions are analyzed. In addition, statistical moments of the higher order, like skewness and flatness factors are discussed.",
publisher = "Springer",
journal = "Lecture Notes in Networks and Systems",
title = "LDA Experimental Research of Turbulent Swirling Flow Behind the Axial Fans in Pipe, Jet and Diffuser",
pages = "202-184",
volume = "153",
doi = "10.1007/978-3-030-58362-0_12"
}
Čantrak, Đ., Janković, N.,& Ilić, D.. (2021). LDA Experimental Research of Turbulent Swirling Flow Behind the Axial Fans in Pipe, Jet and Diffuser. in Lecture Notes in Networks and Systems
Springer., 153, 184-202.
https://doi.org/10.1007/978-3-030-58362-0_12
Čantrak Đ, Janković N, Ilić D. LDA Experimental Research of Turbulent Swirling Flow Behind the Axial Fans in Pipe, Jet and Diffuser. in Lecture Notes in Networks and Systems. 2021;153:184-202.
doi:10.1007/978-3-030-58362-0_12 .
Čantrak, Đorđe, Janković, Novica, Ilić, Dejan, "LDA Experimental Research of Turbulent Swirling Flow Behind the Axial Fans in Pipe, Jet and Diffuser" in Lecture Notes in Networks and Systems, 153 (2021):184-202,
https://doi.org/10.1007/978-3-030-58362-0_12 . .
1
1

Design and Energy Efficiency of the Family Passive House - Case Study

Sipovac, Jovana; Čantrak, Đorđe

(IEEE, New York, 2021)

TY  - CONF
AU  - Sipovac, Jovana
AU  - Čantrak, Đorđe
PY  - 2021
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3575
AB  - In this paper is presented design and energy efficiency characteristics of one passive house designed for the location Mladenovac, Serbia. The whole simulation is conducted in the Passive house planning package (PHPP), ver. 1.0, made by the Passivehaus Institut, Darmstadt, Germany. It is a family residential house with the ground and the first floor. Windows are mainly South oriented. All systems are carefully chosen. Mechanical ventilation with the heat recovery system (MVHR) is chosen and its effective heat recovery efficiency is 87.2%. Primary energy requirement for the passive house is 120 kWh/(m(2)year) and obtained value is 88.7 kWh/(m(2)year), which is significantly lower.
PB  - IEEE, New York
C3  - Proceedings of The 2021 6th International Symposium on Environment - Friendly Energies and Applicati
T1  - Design and Energy Efficiency of the Family Passive House - Case Study
DO  - 10.1109/EFEA49713.2021.9406235
ER  - 
@conference{
author = "Sipovac, Jovana and Čantrak, Đorđe",
year = "2021",
abstract = "In this paper is presented design and energy efficiency characteristics of one passive house designed for the location Mladenovac, Serbia. The whole simulation is conducted in the Passive house planning package (PHPP), ver. 1.0, made by the Passivehaus Institut, Darmstadt, Germany. It is a family residential house with the ground and the first floor. Windows are mainly South oriented. All systems are carefully chosen. Mechanical ventilation with the heat recovery system (MVHR) is chosen and its effective heat recovery efficiency is 87.2%. Primary energy requirement for the passive house is 120 kWh/(m(2)year) and obtained value is 88.7 kWh/(m(2)year), which is significantly lower.",
publisher = "IEEE, New York",
journal = "Proceedings of The 2021 6th International Symposium on Environment - Friendly Energies and Applicati",
title = "Design and Energy Efficiency of the Family Passive House - Case Study",
doi = "10.1109/EFEA49713.2021.9406235"
}
Sipovac, J.,& Čantrak, Đ.. (2021). Design and Energy Efficiency of the Family Passive House - Case Study. in Proceedings of The 2021 6th International Symposium on Environment - Friendly Energies and Applicati
IEEE, New York..
https://doi.org/10.1109/EFEA49713.2021.9406235
Sipovac J, Čantrak Đ. Design and Energy Efficiency of the Family Passive House - Case Study. in Proceedings of The 2021 6th International Symposium on Environment - Friendly Energies and Applicati. 2021;.
doi:10.1109/EFEA49713.2021.9406235 .
Sipovac, Jovana, Čantrak, Đorđe, "Design and Energy Efficiency of the Family Passive House - Case Study" in Proceedings of The 2021 6th International Symposium on Environment - Friendly Energies and Applicati (2021),
https://doi.org/10.1109/EFEA49713.2021.9406235 . .
1
1

Induction Machine Driven Pump Applied as Turbine in Micro-hydro Power Plants

Nikolić, Mateja; Mrsević, Dejan; Ristić, Leposava; Čantrak, Đorđe; Janković, Novica

(IEEE, New York, 2021)

TY  - CONF
AU  - Nikolić, Mateja
AU  - Mrsević, Dejan
AU  - Ristić, Leposava
AU  - Čantrak, Đorđe
AU  - Janković, Novica
PY  - 2021
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3582
AB  - There is a potential for increasing energy efficiency, as well as financial cost-effectiveness of modern water distribution networks, irrigation systems, wastewater treatment plants and intense water usage industries in general, by incorporating micro-hydro turbines in certain points of the system where excess pressure is traditionally dissipated via pressure relief valves. Induction motors used as generators coupled to pumps used as turbines are widely spread in these applications, due to their low cost, robustness, and relatively simple operation, either connected to grid or in island mode of operation. The paper presents analytical and model-based considerations of an induction machine in micro-hydropower system through various operating regimes.
PB  - IEEE, New York
C3  - Proceedings of The 2021 6th International Symposium on Environment - Friendly Energies and Applicati
T1  - Induction Machine Driven Pump Applied as Turbine in Micro-hydro Power Plants
DO  - 10.1109/EFEA49713.2021.9406236
ER  - 
@conference{
author = "Nikolić, Mateja and Mrsević, Dejan and Ristić, Leposava and Čantrak, Đorđe and Janković, Novica",
year = "2021",
abstract = "There is a potential for increasing energy efficiency, as well as financial cost-effectiveness of modern water distribution networks, irrigation systems, wastewater treatment plants and intense water usage industries in general, by incorporating micro-hydro turbines in certain points of the system where excess pressure is traditionally dissipated via pressure relief valves. Induction motors used as generators coupled to pumps used as turbines are widely spread in these applications, due to their low cost, robustness, and relatively simple operation, either connected to grid or in island mode of operation. The paper presents analytical and model-based considerations of an induction machine in micro-hydropower system through various operating regimes.",
publisher = "IEEE, New York",
journal = "Proceedings of The 2021 6th International Symposium on Environment - Friendly Energies and Applicati",
title = "Induction Machine Driven Pump Applied as Turbine in Micro-hydro Power Plants",
doi = "10.1109/EFEA49713.2021.9406236"
}
Nikolić, M., Mrsević, D., Ristić, L., Čantrak, Đ.,& Janković, N.. (2021). Induction Machine Driven Pump Applied as Turbine in Micro-hydro Power Plants. in Proceedings of The 2021 6th International Symposium on Environment - Friendly Energies and Applicati
IEEE, New York..
https://doi.org/10.1109/EFEA49713.2021.9406236
Nikolić M, Mrsević D, Ristić L, Čantrak Đ, Janković N. Induction Machine Driven Pump Applied as Turbine in Micro-hydro Power Plants. in Proceedings of The 2021 6th International Symposium on Environment - Friendly Energies and Applicati. 2021;.
doi:10.1109/EFEA49713.2021.9406236 .
Nikolić, Mateja, Mrsević, Dejan, Ristić, Leposava, Čantrak, Đorđe, Janković, Novica, "Induction Machine Driven Pump Applied as Turbine in Micro-hydro Power Plants" in Proceedings of The 2021 6th International Symposium on Environment - Friendly Energies and Applicati (2021),
https://doi.org/10.1109/EFEA49713.2021.9406236 . .
5
5