THERMAL SCIENCE

International Scientific Journal

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Snežana S. Milićev

,

Nevena D. Stevanović

NAVIER-STOKES-FOURIER ANALYTIC SOLUTIONS FOR NON-ISOTHERMAL COUETTE SLIP GAS FLOW

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≤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]
KEYWORDS
micro-Couette gas flow, non-isothermal, slip flow, analytical solution
PAPER SUBMITTED: 2016-04-23
PAPER REVISED: 2016-08-05
PAPER ACCEPTED: 2016-08-05
PUBLISHED ONLINE: 2016-09-05
DOI REFERENCE: https://doi.org/10.2298/TSCI160423221M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Issue 6, PAGES [1825 - 1833]
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Navier-Stokes-Fourier analytic solutions for non-isothermal Couette slip gas flow

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence