Compressible flow through solar chimneys with variable cross section - an exact solution
Апстракт
Buoyancy driven, adiabatic and compressible flow in relatively high solar chimneys is treated in the paper analytically by using one-dimensional model of flow. General equations written suitably in a non-dimensional form are used for a qualitative discussion pertaining to the mutual effects of gravity, viscosity and varying cross section of the chimney. It is shown that in case of low Mach number flow these equations possess exact solutions obtainable by ordinary mathematical methods for any given chimney shape. Also shown, and demonstrated on an example, is the procedure of evaluation of the chimney shape that satisfies a condition imposed beforehand upon the flow. For better insight into the role of various parameters the solutions are presented in the form of power series expansions.
Кључне речи:
solar chimney analytical solution / compressible flowИзвор:
Theoretical and Applied Mechanics, 2017, 44, 2, 215-228Издавач:
- Srpsko društvo za mehaniku, Beograd
DOI: 10.2298/TAM170815014D
ISSN: 1450-5584
WoS: 000423915600007
Scopus: 2-s2.0-85038928773
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Đorđević, Vladan D. AU - Ćoćić, Aleksandar PY - 2017 UR - https://machinery.mas.bg.ac.rs/handle/123456789/2638 AB - Buoyancy driven, adiabatic and compressible flow in relatively high solar chimneys is treated in the paper analytically by using one-dimensional model of flow. General equations written suitably in a non-dimensional form are used for a qualitative discussion pertaining to the mutual effects of gravity, viscosity and varying cross section of the chimney. It is shown that in case of low Mach number flow these equations possess exact solutions obtainable by ordinary mathematical methods for any given chimney shape. Also shown, and demonstrated on an example, is the procedure of evaluation of the chimney shape that satisfies a condition imposed beforehand upon the flow. For better insight into the role of various parameters the solutions are presented in the form of power series expansions. PB - Srpsko društvo za mehaniku, Beograd T2 - Theoretical and Applied Mechanics T1 - Compressible flow through solar chimneys with variable cross section - an exact solution EP - 228 IS - 2 SP - 215 VL - 44 DO - 10.2298/TAM170815014D ER -
@article{ author = "Đorđević, Vladan D. and Ćoćić, Aleksandar", year = "2017", abstract = "Buoyancy driven, adiabatic and compressible flow in relatively high solar chimneys is treated in the paper analytically by using one-dimensional model of flow. General equations written suitably in a non-dimensional form are used for a qualitative discussion pertaining to the mutual effects of gravity, viscosity and varying cross section of the chimney. It is shown that in case of low Mach number flow these equations possess exact solutions obtainable by ordinary mathematical methods for any given chimney shape. Also shown, and demonstrated on an example, is the procedure of evaluation of the chimney shape that satisfies a condition imposed beforehand upon the flow. For better insight into the role of various parameters the solutions are presented in the form of power series expansions.", publisher = "Srpsko društvo za mehaniku, Beograd", journal = "Theoretical and Applied Mechanics", title = "Compressible flow through solar chimneys with variable cross section - an exact solution", pages = "228-215", number = "2", volume = "44", doi = "10.2298/TAM170815014D" }
Đorđević, V. D.,& Ćoćić, A.. (2017). Compressible flow through solar chimneys with variable cross section - an exact solution. in Theoretical and Applied Mechanics Srpsko društvo za mehaniku, Beograd., 44(2), 215-228. https://doi.org/10.2298/TAM170815014D
Đorđević VD, Ćoćić A. Compressible flow through solar chimneys with variable cross section - an exact solution. in Theoretical and Applied Mechanics. 2017;44(2):215-228. doi:10.2298/TAM170815014D .
Đorđević, Vladan D., Ćoćić, Aleksandar, "Compressible flow through solar chimneys with variable cross section - an exact solution" in Theoretical and Applied Mechanics, 44, no. 2 (2017):215-228, https://doi.org/10.2298/TAM170815014D . .