Effect of Nonlinear Temperature Profile on Thermal Convection in a Binary Fluid Saturated an Anisotropic Porous Medium

Authors

  • Nur Zarifah Abdul Hamid Department of Mathematics, Faculty of Science, University Putra Malaysia, 43400 Serdang, Selangor, Malaysia
  • Nor Fadzillah Mohd Mokhtar Laboratory of Computational Sciences and Mathematical Physics, Institute for Mathematical Research (INSPEM), University Putra Malaysia, 43400 Serdang, Selangor, Malaysia
  • Norihan Md Arifin Department of Mathematics, Faculty of Science, University Putra Malaysia, 43400 Serdang, Selangor, Malaysia
  • Mohammad Hasan Abdul Sathar Laboratory of Computational Sciences and Mathematical Physics, Institute for Mathematical Research (INSPEM), University Putra Malaysia, 43400 Serdang, Selangor, Malaysia

Keywords:

anisotropic, binary, Galerkin method, nonlinear temperature profile, thermal convection

Abstract

The thermal convection in a horizontal binary fluid layer saturated an anisotropic porous medium with the effect of non-uniform temperature profile is studied analytically by linear stability analysis. The generalized eigenvalues problem subjected to various boundaries conditions are solved numerically using Galerkin method. The effects of solute Rayleigh number, Lewis number, mechanical anisotropy and thermal anisotropy parameters corresponding to the six basic temperature profiles on the stationary thermal convection are shown graphically. It is found that the effects of thermal anisotropic parameter, Lewis number and solute Rayleigh number are to reinforce the stability of the system while the effect of mechanical anisotropic parameter is to advance the onset of convection.

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Published

2020-12-14

How to Cite

Abdul Hamid, N. Z. ., Mohd Mokhtar, N. F. ., Md Arifin, N. ., & Abdul Sathar, M. H. . (2020). Effect of Nonlinear Temperature Profile on Thermal Convection in a Binary Fluid Saturated an Anisotropic Porous Medium. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 56(1), 43–58. Retrieved from https://akademiabaru.com/submit/index.php/arfmts/article/view/2484

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