Extended Macroscopic Study of Dilute Gas Flow within a Microcavity

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 ±Uw. The microcavity walls are...

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Main Authors: Mohamed Hssikou, Jamal Baliti, Mohammed Alaoui
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Modelling and Simulation in Engineering
Online Access:http://dx.doi.org/10.1155/2016/7619746
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author Mohamed Hssikou
Jamal Baliti
Mohammed Alaoui
author_facet Mohamed Hssikou
Jamal Baliti
Mohammed Alaoui
author_sort Mohamed Hssikou
collection DOAJ
description 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 ±Uw. The microcavity walls are kept at the uniform and reference temperature T0. 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).
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series Modelling and Simulation in Engineering
spelling doaj-art-38158e8f886e42eca8091e97f9f19a5a2025-02-03T05:45:41ZengWileyModelling and Simulation in Engineering1687-55911687-56052016-01-01201610.1155/2016/76197467619746Extended Macroscopic Study of Dilute Gas Flow within a MicrocavityMohamed Hssikou0Jamal Baliti1Mohammed Alaoui2Département de physique, Université Moulay Ismaïl, Meknès, MoroccoDépartement de physique, Université Moulay Ismaïl, Meknès, MoroccoDépartement de physique, Université Moulay Ismaïl, Meknès, MoroccoThe 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 ±Uw. The microcavity walls are kept at the uniform and reference temperature T0. 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).http://dx.doi.org/10.1155/2016/7619746
spellingShingle Mohamed Hssikou
Jamal Baliti
Mohammed Alaoui
Extended Macroscopic Study of Dilute Gas Flow within a Microcavity
Modelling and Simulation in Engineering
title Extended Macroscopic Study of Dilute Gas Flow within a Microcavity
title_full Extended Macroscopic Study of Dilute Gas Flow within a Microcavity
title_fullStr Extended Macroscopic Study of Dilute Gas Flow within a Microcavity
title_full_unstemmed Extended Macroscopic Study of Dilute Gas Flow within a Microcavity
title_short Extended Macroscopic Study of Dilute Gas Flow within a Microcavity
title_sort extended macroscopic study of dilute gas flow within a microcavity
url http://dx.doi.org/10.1155/2016/7619746
work_keys_str_mv AT mohamedhssikou extendedmacroscopicstudyofdilutegasflowwithinamicrocavity
AT jamalbaliti extendedmacroscopicstudyofdilutegasflowwithinamicrocavity
AT mohammedalaoui extendedmacroscopicstudyofdilutegasflowwithinamicrocavity