Effect of local thermal non-equilibrium on the onset of convection in an anisotropic bidispersive porous layer

  • Israa M. Mankhi Department of Mathematics, College of Sciences, University of Basrah, Basrah, Iraq
  • Shatha A. Haddad Department of Mathematics, College of Sciences, University of Basrah, Basrah, Iraq
Keywords: Bidispersive porous medium, Local thermal non-equilibrium, Linear instability, anisotropic permeability, Darcy model.

Abstract

The onset of thermal convection of a fluid saturated anisotropic bidisperse porous medium under the condition of local thermal non-equilibrium is investigated. We have studied the case of flow in the macropores and micropores when the porous materials are of Darcy type. The temperatures in the macropores and micropores are allowed to be different. We concentrate our attention on the state of a permeability tensor is transversely isotropic with the isotropy axis in the vertical direction of gravity and the permeability ratios of vertical to horizontal are different in the macropores and micropores . The effect of various parameters on the stationary convection is discussed. In particular the effects of macro permeabilities, the micro permeabilities, the measure between the permeability in the macro phase and micro phase  and various interaction parameters on the stationary convection are studied. The numerical results are presented for free-free boundary conditions.

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Published
2021-06-21
How to Cite
Mankhi, I., & Haddad, S. (2021). Effect of local thermal non-equilibrium on the onset of convection in an anisotropic bidispersive porous layer. Journal of Al-Qadisiyah for Computer Science and Mathematics, 13(2), Math Page 181-. https://doi.org/10.29304/jqcm.2021.13.2.813
Section
Math Articles