Onset of Convection with Internal Heating in a Weakly Heterogeneous Porous Medium |
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| Authors: | D A Nield A V Kuznetsov |
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| Institution: | 1. Department of Engineering Science, University of Auckland, Private Bag 92019, Auckland, New Zealand
2. Department of Mechanical and Aerospace Engineering, North Carolina State University, Campus Box 7910, Raleigh, NC, ?27695-7910, USA
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| Abstract: | Linear stability analysis is applied to the onset of convection due to internal heating in a porous medium with weak vertical and horizontal heterogeneity. It is found that the effect of horizontal heterogeneity of each of permeability and thermal conductivity is slightly destabilizing. Increase of permeability in the upward direction is destabilizing and increase in the downward direction is stabilizing, and the reverse is true for increase of conductivity. |
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