A microbearing gas flow with different walls' temperatures
Апстракт
An analytical solution for the non-isothermal 2-D compressible gas flow in a slider microbearing with different temperatures of walls is presented in this paper. The slip flow is defined by the continuity, Navier-Stokes and energy continuum equations, along with the velocity slip and the temperature jump first order boundary conditions. Knudsen number is in the range of 10-3-10-1, which corresponds to the slip flow. The ratio between the exit microbearing height and the microbearing length is taken to be a small parameter. Moreover, it is assumed that the microbearing cross-section varies slowly, which implies that all physical quantities vary slowly in x-direction. The model solution is treated by developing a perturbation scheme. The first approximation corresponds to the continuum flow conditions, while the second one involves the influence of rarefaction effect. The analytical solutions of the pressure, velocity, and temperature for moderately high Reynolds numbers are presented he...re. For these flow conditions the inertia, convection, dissipation, and rate at which work is done in compressing the element of fluid are presented in the second approximation, also.
Кључне речи:
slip flow / non-isothermal / microbearing / different walls' temperatures / analytical solutionИзвор:
Thermal Science, 2012, 16, 1, 119-132Издавач:
- Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd
DOI: 10.2298/TSCI110804086M
ISSN: 0354-9836
WoS: 000303348700012
Scopus: 2-s2.0-84868347154
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Milićev, Snežana AU - Stevanović, Nevena PY - 2012 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1375 AB - An analytical solution for the non-isothermal 2-D compressible gas flow in a slider microbearing with different temperatures of walls is presented in this paper. The slip flow is defined by the continuity, Navier-Stokes and energy continuum equations, along with the velocity slip and the temperature jump first order boundary conditions. Knudsen number is in the range of 10-3-10-1, which corresponds to the slip flow. The ratio between the exit microbearing height and the microbearing length is taken to be a small parameter. Moreover, it is assumed that the microbearing cross-section varies slowly, which implies that all physical quantities vary slowly in x-direction. The model solution is treated by developing a perturbation scheme. The first approximation corresponds to the continuum flow conditions, while the second one involves the influence of rarefaction effect. The analytical solutions of the pressure, velocity, and temperature for moderately high Reynolds numbers are presented here. For these flow conditions the inertia, convection, dissipation, and rate at which work is done in compressing the element of fluid are presented in the second approximation, also. PB - Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd T2 - Thermal Science T1 - A microbearing gas flow with different walls' temperatures EP - 132 IS - 1 SP - 119 VL - 16 DO - 10.2298/TSCI110804086M ER -
@article{ author = "Milićev, Snežana and Stevanović, Nevena", year = "2012", abstract = "An analytical solution for the non-isothermal 2-D compressible gas flow in a slider microbearing with different temperatures of walls is presented in this paper. The slip flow is defined by the continuity, Navier-Stokes and energy continuum equations, along with the velocity slip and the temperature jump first order boundary conditions. Knudsen number is in the range of 10-3-10-1, which corresponds to the slip flow. The ratio between the exit microbearing height and the microbearing length is taken to be a small parameter. Moreover, it is assumed that the microbearing cross-section varies slowly, which implies that all physical quantities vary slowly in x-direction. The model solution is treated by developing a perturbation scheme. The first approximation corresponds to the continuum flow conditions, while the second one involves the influence of rarefaction effect. The analytical solutions of the pressure, velocity, and temperature for moderately high Reynolds numbers are presented here. For these flow conditions the inertia, convection, dissipation, and rate at which work is done in compressing the element of fluid are presented in the second approximation, also.", publisher = "Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd", journal = "Thermal Science", title = "A microbearing gas flow with different walls' temperatures", pages = "132-119", number = "1", volume = "16", doi = "10.2298/TSCI110804086M" }
Milićev, S.,& Stevanović, N.. (2012). A microbearing gas flow with different walls' temperatures. in Thermal Science Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd., 16(1), 119-132. https://doi.org/10.2298/TSCI110804086M
Milićev S, Stevanović N. A microbearing gas flow with different walls' temperatures. in Thermal Science. 2012;16(1):119-132. doi:10.2298/TSCI110804086M .
Milićev, Snežana, Stevanović, Nevena, "A microbearing gas flow with different walls' temperatures" in Thermal Science, 16, no. 1 (2012):119-132, https://doi.org/10.2298/TSCI110804086M . .