Navier-stokes-fourier analytic solutions for non-isothermal couette slip gas flow
Apstrakt
The explicit and reliable analytical solutions for steady plane compressible non-isothermal Couette gas flow are presented These solutions for velocity and temperature are developed by macroscopic approach from Navier-Stokes-Fourier system of continuum equations and the velocity slip and the temperature jump first order boundary conditions. Variability of the viscosity and thermal conductivity with temperature is involved in the model. The known result for the gas flow with constant and equal temperatures of the walls (isothermal walls) is verified and a new solution for the case of different temperature of the walls is obtained Evan though the solution for isothermal walls correspond to the gas flow of the Knudsen number (Kn lt = 0.1), i. e. to the slip and continuum flow, it is shown that the gas velocity and related shear stress are also valid for the whole range of the Knudsen number. The deviation from numerical results for the same system is less than 1%. The reliability of the ...solution is confirmed by comparing with results of other authors which are obtained numerically by microscopic approach. The advantage of the presented solution compared to previous is in a very simple applicability along with high accuracy.
Ključne reči:
slip flow / non-isothermal / micro-Couette gas flow / analytical solutionIzvor:
Thermal Science, 2016, 20, 6, 1825-1833Izdavač:
- Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd
Finansiranje / projekti:
- Primena savremenih mernih i proračunskih tehnika za izučavanje strujnih parametara ventilacionih sistema na modelu energetski izuzetno efikasnog (pasivnog) objekta (RS-MESTD-Technological Development (TD or TR)-35046)
- Napredne analitičke, numeričke i metode analize primenjene mehanike fluida i kompleksnih sistema (RS-MESTD-Basic Research (BR or ON)-174014)
DOI: 10.2298/TSCI160423221M
ISSN: 0354-9836
WoS: 000391079000004
Scopus: 2-s2.0-85072746773
Kolekcije
Institucija/grupa
Mašinski fakultetTY - JOUR AU - Milićev, Snežana AU - Stevanović, Nevena PY - 2016 UR - https://machinery.mas.bg.ac.rs/handle/123456789/2303 AB - The explicit and reliable analytical solutions for steady plane compressible non-isothermal Couette gas flow are presented These solutions for velocity and temperature are developed by macroscopic approach from Navier-Stokes-Fourier system of continuum equations and the velocity slip and the temperature jump first order boundary conditions. Variability of the viscosity and thermal conductivity with temperature is involved in the model. The known result for the gas flow with constant and equal temperatures of the walls (isothermal walls) is verified and a new solution for the case of different temperature of the walls is obtained Evan though the solution for isothermal walls correspond to the gas flow of the Knudsen number (Kn lt = 0.1), i. e. to the slip and continuum flow, it is shown that the gas velocity and related shear stress are also valid for the whole range of the Knudsen number. The deviation from numerical results for the same system is less than 1%. The reliability of the solution is confirmed by comparing with results of other authors which are obtained numerically by microscopic approach. The advantage of the presented solution compared to previous is in a very simple applicability along with high accuracy. PB - Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd T2 - Thermal Science T1 - Navier-stokes-fourier analytic solutions for non-isothermal couette slip gas flow EP - 1833 IS - 6 SP - 1825 VL - 20 DO - 10.2298/TSCI160423221M ER -
@article{ author = "Milićev, Snežana and Stevanović, Nevena", year = "2016", abstract = "The explicit and reliable analytical solutions for steady plane compressible non-isothermal Couette gas flow are presented These solutions for velocity and temperature are developed by macroscopic approach from Navier-Stokes-Fourier system of continuum equations and the velocity slip and the temperature jump first order boundary conditions. Variability of the viscosity and thermal conductivity with temperature is involved in the model. The known result for the gas flow with constant and equal temperatures of the walls (isothermal walls) is verified and a new solution for the case of different temperature of the walls is obtained Evan though the solution for isothermal walls correspond to the gas flow of the Knudsen number (Kn lt = 0.1), i. e. to the slip and continuum flow, it is shown that the gas velocity and related shear stress are also valid for the whole range of the Knudsen number. The deviation from numerical results for the same system is less than 1%. The reliability of the solution is confirmed by comparing with results of other authors which are obtained numerically by microscopic approach. The advantage of the presented solution compared to previous is in a very simple applicability along with high accuracy.", publisher = "Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd", journal = "Thermal Science", title = "Navier-stokes-fourier analytic solutions for non-isothermal couette slip gas flow", pages = "1833-1825", number = "6", volume = "20", doi = "10.2298/TSCI160423221M" }
Milićev, S.,& Stevanović, N.. (2016). Navier-stokes-fourier analytic solutions for non-isothermal couette slip gas flow. in Thermal Science Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd., 20(6), 1825-1833. https://doi.org/10.2298/TSCI160423221M
Milićev S, Stevanović N. Navier-stokes-fourier analytic solutions for non-isothermal couette slip gas flow. in Thermal Science. 2016;20(6):1825-1833. doi:10.2298/TSCI160423221M .
Milićev, Snežana, Stevanović, Nevena, "Navier-stokes-fourier analytic solutions for non-isothermal couette slip gas flow" in Thermal Science, 20, no. 6 (2016):1825-1833, https://doi.org/10.2298/TSCI160423221M . .