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Stability analysis of penetrative convection in anisotropic porous media with variable permeability
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Akil J. Harfash
Published/Copyright:
July 18, 2014
Abstract
In this paper we study the penetrative convection in an anisotropic porous medium, for fluids with quadratic density law with the anisotropic permeability and thermal diffusivity effects. Both linear instability and global non-linear energy stability analyses are tested using a three-dimensional simulation. Our results show that the linear threshold accurately predicts on the onset of instability in the basic steady state. However, the required time to arrive at the steady state increases significantly as the Rayleigh number tends to the linear threshold.
Received: 2014-4-7
Revised: 2014-6-3
Accepted: 2014-6-5
Published Online: 2014-7-18
Published in Print: 2014-9-1
© 2014 by De Gruyter
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Keywords for this article
Anisotropic porous medium;
non-linear energy stability;
linear instability
Articles in the same Issue
- Frontmatter
- Contact temperature and internal variables: A glance back, 20 years later
- Stability analysis of penetrative convection in anisotropic porous media with variable permeability
- A methodology for solving the one-dimensional mono-energetic transport equation in homogeneous semi-infinite medium
- Entropy generation in silicon thin film: Influence of film thickness on entropy generation rate
- Optimal motion trajectory for the four-stroke free-piston engine with irreversible Miller cycle via a Gauss pseudospectral method
- Magdalene College Competition in Thermodynamics: The Thomson Challenge
