Iris Publishers - Global Journal of Engineering Sciences (GJES)


Darcy Convection Anisotropic Problem with Multi Stability of Stationary Motions for Rectangle




Authorized by Mostafa Abdallah Ahmed



Based on the Darcy model, fluid 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 co-symmetric systems are derived. For this case explicit formulas for the critical numbers of the loss of stability of mechanical equilibrium are found. Using a finite-difference method that preserves the co-symmetry 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 co-symmetry. As result the appearance of a finite number of stationary regimes are obtained.

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