Double-diffusive Hadley–Prats flow in a porous medium subject to gravitational variation

Matta, A and P A, Lakshmi Narayana and Hill, A A (2016) Double-diffusive Hadley–Prats flow in a porous medium subject to gravitational variation. International Journal of Thermal Sciences, 102. pp. 300-307. ISSN 1290-0729

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A model for double-diffusive porous Hadley–Prats flow under the effect of a variable gravity field is explored. Both linear instability and nonlinear stability analyses are performed to assess the suitability of linear theory to predict the destabilisation of the flow. The resultant eigenvalue problems for both theories are solved using shooting and fourth order Runga–Kutta methods for various flow governing parameters. The results indicate that both the linear and nonlinear results undergo quantitative changes subject to horizontal thermal and solutal gradients along with the presence and absence of gravity and mass flow variations. For certain parameter ranges there are also substantial regions of potential subcritical instability, such that instabilities may arise before the linear stability threshold is reached.

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IITH Creators:
IITH CreatorsORCiD
P A, Lakshmi NarayanaUNSPECIFIED
Item Type: Article
Uncontrolled Keywords: Double diffusive convection; Porous medium; Gravity effect; Mass flow; Energy stability analysis
Subjects: ?? sub3.8 ??
Divisions: Department of Mathematics
Depositing User: Team Library
Date Deposited: 18 Jan 2016 07:25
Last Modified: 18 Jan 2016 07:25
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