Effect of Internal Heat Generation on the Onset of Brinkman-Benard Thermomagnetic Convection in a Saturated Porous Layer

Author & Affiliation:
SREENIVASA G. T.
Department of Mathematics, Sri Siddhartha Institute of Technology, Tumakuru -572 105 (India)
PRAKASHA H. N. (prakashahn83@gmail.com)
Department of Mathematics, Government Pre-University College for Boys, Tumakuru-572 102 (India)
Keyword:
ferroconvection, porous layer, Galerkin method, internal heat generation,, viscosity ratio, 58D30, 76E06, 76R10
Issue Date:
August, 2017
Abstract:

A model for onset of ferroconvection via internal heat generation in a ferrofluid saturated porous layer is explored. The Brinkman–Lapwood extended Darcy equation with fluid viscosity different from effective viscosity is used to describe the flow in the porous medium. The lower boundary of the porous layer is assumed to be rigid- paramagnetic and insulated to temperature perturbations, while at upper stress-free boundary a general convective-radiative exchange condition on perturbed temperature is imposed. The resulting eigenvalue problem is solved numerically using the Galerkin method. It is found that increasing in the dimensionless heat source strength Ns , magnetic number M1 , Darcy number Da and the non-linearity of magnetization parameterM3 is to hasten, while increase in the ratio of viscosities, Biot number Bi and magnetic susceptibility  is to delay the onset of ferroconvection. Further, increase in Bi , Da1 and Ns and decrease in , M1 ,and M3 is to diminish the dimension of convection cells.

Pages:
199-206
ISSN:
(Online) - (Print)
Source:
DOI:
http://dx.doi.org/10.22147/jusps-B/290803
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Copy the following to cite this article:

S. G. T.; P. H. N., "Effect of Internal Heat Generation on the Onset of Brinkman-Benard Thermomagnetic Convection in a Saturated Porous Layer", Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 8, Page Number 199-206, 2017

Copy the following to cite this URL:

S. G. T.; P. H. N., "Effect of Internal Heat Generation on the Onset of Brinkman-Benard Thermomagnetic Convection in a Saturated Porous Layer", Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 8, Page Number 199-206, 2017

Available from: https://www.ultrascientist.org/paper/832/effect-of-internal-heat-generation-on-the-onset-of-brinkman-benard-thermomagnetic-convection-in-a-saturated-porous-layer

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