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多孔介质期刊
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多孔介质期刊

DOI: 10.1615/JPorMedia.v19.i4.20
pages 303-312

EFFECT OF THROUGHFLOW ON DOUBLE DIFFUSIVE CONVECTION IN A POROUS MEDIUM WITH CONCENTRATION BASED INTERNAL HEAT SOURCE

N. Deepika
Department of Mathematics, Indian Institute Techonology Hyderabad, Kandi, Telangana, 502285 India
Anjanna Matta
Department of Mathematics, Faculty of Science and Technology, IFHE University, Hyderabad Telangana, India - 501203
P. A. Lakshmi Narayana
Department of Mathematics, Indian Institute of Technology Hyderabad, Hyderabad - 502205, Telangana, India

ABSTRACT

Onset of double diffusive convection in a horizontal fluid saturated porous layer which is subjected to concentration-based internal heat source is studied. Here the flow is induced by vertical temperature and concentration differences across the boundaries. Effect of vertical throughflow is also considered in this investigation. The flow-governing parameters involved in this study are thermal Rayleigh number RaT and solutal Rayleigh number RaS, which are associated with thermal and concentration differences in the vertical direction, along with the Peclet number Pe, Lewis number Le, and measure of concentration-based internal heat source γ. To perform linear stability analysis, an eigenvalue problem is derived for Rayleigh number RaT, and it has been obtained numerically. Critical thermal Rayleigh number RaTC is evaluated for various values of flow-governing parameters. It has been noticed that oscillatory longitudinal modes are preferred modes of instability.


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