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Non-Darcy mixed convection in power-law fluids along a non-isothermal horizontal surface in a porous medium

Kumari, M and Nath, G (2004) Non-Darcy mixed convection in power-law fluids along a non-isothermal horizontal surface in a porous medium. In: International Journal of Engineering Science, 42 (3-4). pp. 353-369.

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Abstract

The non-similar non-Darcy mixed convection from a horizontal surface in a porous medium saturated with a power-law type non-Newtonian fluid has been studied. Non-similarity solutions have been obtained for the case of a variable surface temperature of the form $T_w(x)=T_\infty\pm Ax^\lambda, \lambda\neq1/2$. It has been found that for $\lambda=1/2$, self-similar solution exists. A single mixed convection parameter has been used which covers the entire regime of mixed convection from pure forced convection to pure free convection limits. Both these limiting flows admit self-similar solutions. The partial differential equations governing the non-similar flow and the ordinary differential equations governing the self-similar flow have been solved numerically. The buoyancy force and the wall temperature have significant influence on the heat transfer and the velocity at the wall. For a fixed buoyancy force, the heat transfer and the velocity at the wall decrease with increasing non-Newtonian parameter, non-Darcy parameter and Peclet number.

Item Type: Journal Article Copyright of this article belongs to Elsevier. Non-Darg;Mixed convection;Power-law fluids;Horizontal surface Division of Physical & Mathematical Sciences > Mathematics 28 Mar 2007 19 Sep 2010 04:36 http://eprints.iisc.ernet.in/id/eprint/10287

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