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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Language: | English |
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Wiley
2016-01-01
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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). |
format | Article |
id | doaj-art-38158e8f886e42eca8091e97f9f19a5a |
institution | Kabale University |
issn | 1687-5591 1687-5605 |
language | English |
publishDate | 2016-01-01 |
publisher | Wiley |
record_format | Article |
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 |