Effects of Viscous Dissipation and Concentration Based Internal Heat Source on Convective Instability in a Porous Medium with Throughflow

Deepika, N and Narayana, P A L (2015) Effects of Viscous Dissipation and Concentration Based Internal Heat Source on Convective Instability in a Porous Medium with Throughflow. In: Conference World Academy of Science, Engineering and Technology, 2015.

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Abstract

Linear stability analysis of double diffusive convection in a horizontal porous layer saturated with fluid is examined by considering the effects of viscous dissipation, concentration based internal heat source and vertical throughflow. The basic steady state solution for Governing equations is derived. Linear stability analysis has been implemented numerically by using shooting and Runge-kutta methods. Critical thermal Rayleigh number Rac is obtained for various values of solutal Rayleigh number Sa, vertical Peclet number Pe, Gebhart number Ge, Lewis number Le and measure of concentration based internal heat source γ. It is observed that Ge has destabilizing effect for upward throughflow and stabilizing effect for downward throughflow. And γ has considerable destabilizing effect for upward throughflow and insignificant destabilizing effect for downward throughflow.

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IITH Creators:
IITH CreatorsORCiD
Narayana, P A LUNSPECIFIED
Item Type: Conference or Workshop Item (Paper)
Subjects: Mathematics
Divisions: Department of Mathematics
Depositing User: Team Library
Date Deposited: 01 Aug 2019 10:02
Last Modified: 01 Aug 2019 10:02
URI: http://raiith.iith.ac.in/id/eprint/5851
Publisher URL: http://doi.org/10.5281/zenodo.1108817
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