TY - JOUR
TI - Navier-Stokes-Fourier analytic solutions for non-isothermal Couette slip gas flow
AU - Milićev Snežana S
AU - Stevanović Nevena D
JN - Thermal Science
PY - 2016
VL - 20
IS - 6
SP - 1825
EP - 1833
PT - Article
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≤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. [Projekat Ministarstva  nauke Republike Srbije, br. 35046 i 174014]