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Onset of Darcy-Benard convection in an inclined layer heated from below

Citation

Rees, DAS and Bassom, AP, Onset of Darcy-Benard convection in an inclined layer heated from below, Acta Mechanica, 144, (1-2) pp. 103-118. ISSN 0001-5970 (2000) [Refereed Article]

Copyright Statement

Copyright Springer-Verlag 2000

DOI: doi:10.1007/BF01181831

Abstract

We present an account of the linear instability of Darcy-Boussinesq convection in a uniform, unstably stratified porous layer at arbitrary inclinations α from the horizontal. A full numerical solution of the linearized disturbance equations is given and the detailed graphical results used to motivate various asymptotic analyses. A careful study shows that at large Rayleigh numbers two-dimensional instability can only arise when α≤31.30. However it is also demonstrated that the maximum inclination below which this instability may be possible is the slightly greater value of 31.49 which corresponds to a critical Rayleigh number of 104.30.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Applied Mathematics
Research Field:Theoretical and Applied Mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Bassom, AP (Professor Andrew Bassom)
ID Code:107389
Year Published:2000
Web of Science® Times Cited:34
Deposited By:Mathematics and Physics
Deposited On:2016-03-11
Last Modified:2016-07-08
Downloads:0

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