DARCY CONVECTION ANISOTROPIC PROBLEM WITH MULTISTABILITY OF STATIONARY MOTIONS FOR RECTANGLE

Authors

  • Abdelhafez M.A Southern Federal University, Rostov-on-Don, 344006, Russia
  • Tsybulin V.G. Sohag University, Sohag, 82524, the Arab Republic of Egypt

DOI:

https://doi.org/10.53555/eijms.v5i1.36

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.

References

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Published

2015-12-27

Issue

Vol. 1 No. 2 (2015): EPH - International Journal of Mathematics and Statistics (ISSN: 2208-2212)

Section

Articles

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Copyright (c) 2015 International Journal of Mathematics and Statistics

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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