Author:
Nagarathnamma H,Ananda K,Gangadharaiah Y H
Abstract
Abstract
The onset of convective motion in a fluid saturated anisotropic porous medium layer is examined analytically in the occurrence of the qualitative effect of the source of variable internal heat. Three different kinds of heat source functions: (i) N (z) = z (linear) (ii)N(z) = z2 (parabolic) and (iii) N (z) = z
3 (cubic) are considered. The resulting eigenvalue problem was analytically solved using regular perturbation technique. A parametric study is carried out by varying the following parameters: the heat source parameter (X), thermal anisotropy parameter(n), and mechanical anisotropy parameter(ξ). Results indicates that the effects of the increasing values of λ and ξ will enhance the convection of a anisotropic porous layer system while the increasing of n will help to stabilize the system. It is also noted that for case (iii) the system is more stable, while for case (i) the system is more unstable
Reference14 articles.
1. Penetrative convection in a horizontally isotropic porous layer;Carr;Continuum Mech Thermodyn.,2013
2. Convection in a variable gravity field;Straughan;J. Appl. Math.,1989
3. Effect of internal heat generation on the onset of Marangoni convection in a fluid layer overlying a layer of an anisotropic porous medium;Shivakumara;Transp. Porous Med.,2012
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