The Effect of Vertical Throughflow on the Onset of Convection Induced by Internal Heating in a Layered Porous Medium |
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Authors: | A V Kuznetsov D A Nield |
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Institution: | 1. Department of Mechanical and Aerospace Engineering, North Carolina State University, Campus Box 7910, Raleigh, NC, 27695-7910, USA 2. Department of Engineering Science, University of Auckland, Private Bag 92019, Auckland, New Zealand
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Abstract: | We present an analytical investigation of the effect of vertical throughflow on the onset of convection, induced by internal heating, in a composite porous medium consisting of two horizontal layers. If convection is induced by internal heating, the bulk of the convection occurs in the upper half of the layer where the buoyancy force is destabilizing. For the case of heterogeneous porous medium, if the permeability increases in the upward direction, or if the thermal conductivity decreases in the upward direction, instability is increased. It is also found that upward throughflow is stabilizing but a modest amount of downward throughflow is destabilizing. |
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