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Selection of steady states in planar Darcy convection
Author(s) -
Karasözen B.,
Tsybulin V. G.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700663
Subject(s) - enclosure , boundary (topology) , steady state (chemistry) , convection , natural convection , planar , selection (genetic algorithm) , mechanics , compressibility , porous medium , boundary value problem , physics , thermodynamics , mathematics , porosity , mathematical analysis , materials science , computer science , chemistry , telecommunications , computer graphics (images) , artificial intelligence , composite material
Abstract The planar natural convection of incompressible fluid in a porous medium is considered. We study selection of steady states under temperature perturbations on the boundary. A selection map is introduced to analyze the selection of steady state from a continuous family of equilibria which exists under zero boundary conditions. The results of finite‐difference modeling for the rectangular enclosure are presented. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)