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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
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 |
| UTAS Author: | Bassom, AP (Professor Andrew Bassom) |
| ID Code: | 107389 |
| Year Published: | 2000 |
| Web of Science® Times Cited: | 50 |
| Deposited By: | Mathematics and Physics |
| Deposited On: | 2016-03-11 |
| Last Modified: | 2016-07-08 |
| Downloads: | 0 |
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