Title: Numerical analysis of non-isothermal walls driven-gas flow

Authors: Mohamed Hssikou; Jamal Baliti; Mohammed Alaoui

Addresses: Physics Department, Moulay Ismaïl University, BP 11201, Ave Zitoune, Meknes, Morocco ' Physics Department, Moulay Ismaïl University, BP 11201, Ave Zitoune, Meknes, Morocco ' Physics Department, Moulay Ismaïl University, BP 11201, Ave Zitoune, Meknes, Morocco

Abstract: The gas flow driven by non-isothermal walls effect is studied by both macroscopic and kinetic approaches. In this study, the behaviour of a rarefied and Maxwell gas flow induced by the thermal creep and stresses within a two-dimensional microcavity is investigated using the direct simulation Monte Carlo (DSMC) method and the regularised 13-moment equations solution. The upper and bottom walls of the microcavity are linearly heated from the cold and environmental temperature T_- to the hot one T₊. However, the left and right walls are kept at uniform and different temperatures T_- and T₊, respectively. The non-isothermal walls effect, at the vicinity of longitudinal walls, on the macroscopic gas properties is clarified for various values of the Knudsen number Kn, rarefaction degree. The agreement between DSMC and R13 results confirms the breakdowns of the classical Navier-Stokes and Fourier (NSF) theory for rarefied gas microflows.

Keywords: R13; DSMC; direct simulation Monte Carlo; thermal creep; microcavity; rarefied gas flow; NSF; Navier-Stokes and Fourier.

DOI: 10.1504/IJESMS.2018.091924

International Journal of Engineering Systems Modelling and Simulation, 2018 Vol.10 No.2, pp.63 - 74

Received: 29 Jul 2016
Accepted: 24 Jun 2017
Published online: 21 May 2018 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article