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Open Access Research Article

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

Abdelhafez MA1,2* and Tsybulin VG1

1Southern Federal University, Russia

2Sohag University, Sohag, Egypt

Corresponding Author

Received Date: May 23, 2019;  Published Date: May 31, 2019

Abstract

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-sssymmetric 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 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 co-symmetry. As result the appearance of a finite number of stationary regimes are obtained.

Keywords:Landslide; Erosion; Environmental disaster; Southeastern nigeria

Citation
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