Abstract
Based on the Darcy model, uid convection in a porous rectangle is analyzed taking into account anisotropy of thermal characteristics and permeability. Relations between parameters for which the problem belongs to the class of cosymmetric systems are derived. For this case explicit formulas for the critical numbers of the loss of stability of mechanical equilibrium are found. Using a nite-di erence method that preserves the cosymmetry of the problem, family of stationary convective regimes is computed. Through the computational experiment the destruction of families is demonstrated in the case of violation of the conditions of cosymmetry. As result the appearance of a nite number of stationary regimes are obtained.
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More From: International Journal of Mathematics and Statistics
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