Double-diffusive Hadley–Prats flow in a horizontal porous layer with a concentration based internal heat source

Matta, A and P A, Lakshmi Narayana and Hill, A A (2017) Double-diffusive Hadley–Prats flow in a horizontal porous layer with a concentration based internal heat source. Journal of Mathematical Analysis and Applications, 452 (2). pp. 1005-1018. ISSN 0022-247X

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Abstract

Double-diffusive Hadley–Prats flow with a concentration based heat source is investigated through linear and non-linear stability analyses. The resultant eigenvalue problems for both theories are solved numerically using Shooting and fourth order Runga–Kutta methods, with the critical thermal Rayleigh number being evaluated with respect to various flow governing parameters such as the magnitudes of the heat source and mass flow. It is observed, in the linear case, that an increase in the horizontal thermal Rayleigh number is stabilising for both positive and negative values of the solutal Rayleigh number. In the non-linear case, a destabilising effect is identified at higher mass flow rates. An increase in both the heat source and mass flow results in destabilisation.

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IITH Creators:
IITH CreatorsORCiD
P A, Lakshmi NarayanaUNSPECIFIED
Item Type: Article
Uncontrolled Keywords: Double diffusive convection; Porous medium; Heat source; Mass flow; Energy stability analysis
Subjects: ?? sub3.8 ??
Divisions: Department of Mathematics
Depositing User: Team Library
Date Deposited: 28 Mar 2017 07:22
Last Modified: 19 Apr 2017 05:16
URI: http://raiithold.iith.ac.in/id/eprint/3117
Publisher URL: https://doi.org/10.1016/j.jmaa.2017.03.039
OA policy: http://www.sherpa.ac.uk/romeo/issn/0022-247X/
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