Selection of steady states in planar Darcy convection |
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| Affiliation: | 1. Department of Mathematics and Mechanics, Rostov State University, Russia;2. Department of Mathematics and Institute of Applied Mathematics, Middle East Technical University, 06531 Ankara, Turkey |
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| Abstract: | The planar natural convection of an incompressible fluid in a porous medium is considered. We study the selection of steady states under temperature perturbations on the boundary. A selection map is introduced in order to analyze the selection of a steady state from a continuous family of equilibria which exists under zero boundary conditions. The results of finite-difference modeling for a rectangular enclosure are presented. |
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