Pressure distribution in microtubes with variable cross section
Конференцијски прилог (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
A steady compressible isothermal slip gas flow in a microtube is analyzed for low Reynolds
numbers. The microtube is with varying cross-section, which from the standpoint of geometry
gives three considered cases: convergent microtube, divergent microtube and microtube with
constant radius. The gas flow is caused by the pressure difference between the inlet and the outlet
cross-section. The solution for pressure and mass flow rate is obtained by macroscopic approach
from Navier-Stokes equations with the second order velocity slip boundary condition. Analysis of
the order of dimensionless terms in governing equations is possible with the usage of exact
relation between Reynolds, Mach and Knudsen numbers. The solution procedure for this flow
model is based on perturbation approach, where significant variables are assumed in the form of
perturbation series. The first approximation represents the solution for the continuum flow
conditions, and the second approximation in...corporates the effect of gas rarefaction. The obtained
solution is compared with verified results of numerical experiment found in literature and good
agreement is achieved. Hence, the reliability of obtained solution and presented method is
confirmed.
Кључне речи:
slip gas flow / microtube / rarefied gas flow / isothermal / compressibleИзвор:
Proceedings of the The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, June 24-26, 2019, 2019, 1-8Издавач:
- Serbian Society of Mechanics
Финансирање / пројекти:
- Примена савремених мерних и прорачунских техника за изучавање струјних параметара вентилационих система на моделу енергетски изузетно ефикасног (пасивног) објекта (RS-MESTD-Technological Development (TD or TR)-35046)
- Напредне аналитичке, нумеричке и методе анализе примењене механике флуида и комплексних система (RS-MESTD-Basic Research (BR or ON)-174014)
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Guranov, Iva AU - Milićev, Snežana AU - Stevanović, Nevena PY - 2019 UR - https://machinery.mas.bg.ac.rs/handle/123456789/3973 AB - A steady compressible isothermal slip gas flow in a microtube is analyzed for low Reynolds numbers. The microtube is with varying cross-section, which from the standpoint of geometry gives three considered cases: convergent microtube, divergent microtube and microtube with constant radius. The gas flow is caused by the pressure difference between the inlet and the outlet cross-section. The solution for pressure and mass flow rate is obtained by macroscopic approach from Navier-Stokes equations with the second order velocity slip boundary condition. Analysis of the order of dimensionless terms in governing equations is possible with the usage of exact relation between Reynolds, Mach and Knudsen numbers. The solution procedure for this flow model is based on perturbation approach, where significant variables are assumed in the form of perturbation series. The first approximation represents the solution for the continuum flow conditions, and the second approximation incorporates the effect of gas rarefaction. The obtained solution is compared with verified results of numerical experiment found in literature and good agreement is achieved. Hence, the reliability of obtained solution and presented method is confirmed. PB - Serbian Society of Mechanics C3 - Proceedings of the The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, June 24-26, 2019 T1 - Pressure distribution in microtubes with variable cross section EP - 8 SP - 1 UR - https://hdl.handle.net/21.15107/rcub_machinery_3973 ER -
@conference{ author = "Guranov, Iva and Milićev, Snežana and Stevanović, Nevena", year = "2019", abstract = "A steady compressible isothermal slip gas flow in a microtube is analyzed for low Reynolds numbers. The microtube is with varying cross-section, which from the standpoint of geometry gives three considered cases: convergent microtube, divergent microtube and microtube with constant radius. The gas flow is caused by the pressure difference between the inlet and the outlet cross-section. The solution for pressure and mass flow rate is obtained by macroscopic approach from Navier-Stokes equations with the second order velocity slip boundary condition. Analysis of the order of dimensionless terms in governing equations is possible with the usage of exact relation between Reynolds, Mach and Knudsen numbers. The solution procedure for this flow model is based on perturbation approach, where significant variables are assumed in the form of perturbation series. The first approximation represents the solution for the continuum flow conditions, and the second approximation incorporates the effect of gas rarefaction. The obtained solution is compared with verified results of numerical experiment found in literature and good agreement is achieved. Hence, the reliability of obtained solution and presented method is confirmed.", publisher = "Serbian Society of Mechanics", journal = "Proceedings of the The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, June 24-26, 2019", title = "Pressure distribution in microtubes with variable cross section", pages = "8-1", url = "https://hdl.handle.net/21.15107/rcub_machinery_3973" }
Guranov, I., Milićev, S.,& Stevanović, N.. (2019). Pressure distribution in microtubes with variable cross section. in Proceedings of the The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, June 24-26, 2019 Serbian Society of Mechanics., 1-8. https://hdl.handle.net/21.15107/rcub_machinery_3973
Guranov I, Milićev S, Stevanović N. Pressure distribution in microtubes with variable cross section. in Proceedings of the The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, June 24-26, 2019. 2019;:1-8. https://hdl.handle.net/21.15107/rcub_machinery_3973 .
Guranov, Iva, Milićev, Snežana, Stevanović, Nevena, "Pressure distribution in microtubes with variable cross section" in Proceedings of the The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, June 24-26, 2019 (2019):1-8, https://hdl.handle.net/21.15107/rcub_machinery_3973 .