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Modelling and Simulation in Engineering
Volume 2016, Article ID 7619746, 9 pages
Research Article

Extended Macroscopic Study of Dilute Gas Flow within a Microcavity

Département de physique, Université Moulay Ismaïl, Meknès, Morocco

Received 27 August 2016; Accepted 24 October 2016

Academic Editor: Ricardo Perera

Copyright © 2016 Mohamed Hssikou et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The behaviour of monatomic and dilute gas is studied in the slip and early transition regimes using the extended macroscopic theory. The gas is confined within a two-dimensional microcavity where the longitudinal sides are in the opposite motion with constant velocity . The microcavity walls are kept at the uniform and reference temperature . Thus, the gas flow is transported only by the shear stress induced by the motion of upper and lower walls. From the macroscopic point of view, the regularized 13-moment equations of Grad, R13, are solved numerically. The macroscopic gas proprieties are studied for different values of the so-called Knudsen number (Kn), which gives the gas-rarefaction degree. The results are compared with those obtained using the classical continuum theory of Navier-Stokes and Fourier (NSF).