The Effect of Pulsating Deformation on the Onset of Convection in a Porous Medium |
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| Authors: | D. A. Nield A. V. Kuznetsov |
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| Affiliation: | 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: | A linear instability analysis has been performed for the onset of convection in a horizontal layer of a porous medium whose permeability pulsates with time as a result of vertical movement of one of the boundaries. It was found that, to a first-order approximation in the pulsation amplitude, the effect of deformation is destabilizing for disturbances whose period is of the order of the thermal diffusion time scale. The effects of the average porosity, pulsation amplitude, and pulsation frequency were investigated. |
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