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多孔介质期刊
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多孔介质期刊

DOI: 10.1615/JPorMedia.v14.i5.60
pages 437-447

ON THE EFFECTS OF A CUBIC TEMPERATURE PROFILE ON OSCILLATORY RAYLEIGH-BENARD CONVECTION IN A VISCOELASTIC FLUID-FILLED HIGH-POROSITY MEDIUM

Ruwaidiah Idris
Department of Mathematics, Faculty of Science and Technology, Universiti Malaysia Terengganu, 21030 Kuala Terengganu, Malaysia
Ishak Hashim
School of Mathematical Sciences & Solar Energy Research Institute, Faculty of Science & Technology, Universiti Kebangsaan Malaysia 43600 UKM Bangi, Selangor DE, Malaysia

ABSTRACT

This study investigated the instability of Rayleigh-Bénard convection in a horizontal layer of Boussinesq, viscoelastic fluid-filled high-porosity medium under the influence of a cubic temperature profile. A linear stability analysis was performed. A single-term Galerkin technique was used to obtain the critical stability parameter for free-free, free- rigid, and rigid-rigid boundary combinations with conducting temperature conditions. It is shown that the strain retardation time delayed the convection while the stress relaxation time promoted it. The effect of the Darcy number and the Brinkman number on the linear stability of the system is analyzed and presented graphically.


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