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Continuum Analysis of Rarefaction Effects on a Thermally Induced Gas Flow
Joint Authors
Hssikou, Mohamed
Baliti, Jamal
Alaoui, Mohammed
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-30
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
A Maxwell gas confined within a micro cavity with nonisothermal walls is investigated in the slip and early transition regimes using the classical and extended continuum theories.
The vertical sides of the cavity are kept at the uniform and environmental temperature T0, while the upper and bottom ones are linearly heated in opposite directions from the cold value T0 to the hot one TH.
The gas flow is, therefore, induced only by the temperature gradient created along the longitudinal walls.
The problem is treated from a macroscopic point of view by solving numerically the so-called regularized 13-moment equations (R13) recently developed as an extension of Grad 13-moment theory to the third order of the Knudsen number powers in the Chapman-Enskog expansion.
The gas macroscopic properties obtained by this method are compared with the classical continuum theory results (NSF) using the first and second order of velocity slip and temperature jump boundary conditions.
The gas flow behavior is studied as a function of the Knudsen number (Kn), nonlinear effects, for different heating rates T0/TH.
The micro cavity aspect ratio effect is also evaluated on the flow fields in this study.
American Psychological Association (APA)
Hssikou, Mohamed& Baliti, Jamal& Alaoui, Mohammed. 2019. Continuum Analysis of Rarefaction Effects on a Thermally Induced Gas Flow. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1195946
Modern Language Association (MLA)
Hssikou, Mohamed…[et al.]. Continuum Analysis of Rarefaction Effects on a Thermally Induced Gas Flow. Mathematical Problems in Engineering No. 2019 (2019), pp.1-14.
https://search.emarefa.net/detail/BIM-1195946
American Medical Association (AMA)
Hssikou, Mohamed& Baliti, Jamal& Alaoui, Mohammed. Continuum Analysis of Rarefaction Effects on a Thermally Induced Gas Flow. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1195946
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195946