Abstract
Problem statement: A two dimensional steady laminar free convective fl ow of viscous incompressible fluid between two parallel porous wa lls is considered. Approach: Using the similarity variable, the partial differential equations were r educed to ordinary differential equations. The coup led ordinary differential equations were solved numeric ally using shooting method. The effect of various physical parameters, such as the Prandtl number, Gr ashof number, permeability parameter and ratio of the free stream velocity to parallel wall parameter on the boundary layer velocity and skin-friction coefficient were investigated. Results: Some of the several important findings of the resu lts were (i) the fluid velocity increased as either of the Grash of number, permeability parameter, ratio of free stream velocity parameter to parallel wall paramete r was increased. (ii) The fluid temperature decreased as either of the Grashof number, ratio of free stream velocity parameter to parallel wall parameter increased and increased as permeability p arameter was increased. (iii) Skin friction increas e owing to an increase in Grashof number, ratio of fr ee stream velocity parameter to parallel wall parameter and decrease with increasing permeability parameter. In this study, a similarity solution fo r free convective flow between two parameter porous walls situated a distance L apart was considered. Numerical results were presented to illustrate the details of the flow, skin-friction characteristics and their dependence on the flow conditions and fluid p roperties. Conclusion: In particular, we found that, the fluid velocity increased as either of the Grash of number, permeability parameter, ratio of free stream velocity parameter to parallel wall paramete r was increased.
Highlights
There are several situations where forced and natural convection occur with relatively comparable significance
This case is referred to as mixed convection heat transfer
Other predefined parameters needed for the solution method include the step length (h), Grash of number (Gr), Prandtl number (Pr), permeability parameter (A), ratio of free stream velocity to parallel wall parameter (γ)
Summary
There are several situations where forced and natural convection occur with relatively comparable significance This case is referred to as mixed convection heat transfer. Kafoussians (1989) studied heat transfer flow through a very porous medium bounded by a semi infinite horizontal plate. He observed that when the permeability parameter k increased the temperature of the fluid increases. Sharma and Singh (2008) investigated the effects of variable thermal conductivity and heat source/sink on flow of a viscous incompressible electrically conducting fluid in the presence of uniform transverse magnetic field and variable free stream near a stagnation point on a non-conducting stretching sheet. Math. & Stat., 6 (2): 143-150, 2010 velocity and temperature distributions were discussed
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