Hydrodynamic and Thermal Boundary Layers of a Fluid over a Stretching Flat Plate in a Porous Medium using Thermal Non-Equilibrium Model: Similarity Solution

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Abstract

Heat transfer and fluid flow in a porous medium over a stretching flat surface with internal heat generation and suction/injection have been investigated using a two-temperature model of heat transfer. On assuming non Darcy flow, similarity solutions are obtained for the governing steady laminar boundary layer equations. The surface is maintained at a non uniform temperature. The coupled momentum and energy equations for both fluid and solid phases are obtained and then transformed to the similarity format. The system of governing equations along with the related boundary conditions have been solved using the classical fourth-order Runge–Kutta method allied with the shooting technique. The resulting velocity and temperature distributions are shown for different values of parameters entering into the problem. Also, the values of the local surface heat flux for both solid and fluid phases and critical values of the Prandtl number are reported as a function of the permeability parameter.

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Journal of Solid and Fluid Mechanics
Volume 2, Issue 1 - Serial Number 1
March and April 2012
Pages 47-55

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