Effect of internal heat generation on free convective power-law variable temperature past a vertical plate considering exponential variable viscosity and thermal conductivity

Authors

Department of Applied Mathematics, University of Dhaka, Dhaka 1000, Bangladesh

Abstract

The aim of this paper is to study the free convection boundary-layer flow with heat
generation and variable fluid properties past a vertical plate. We incorporated the
heat generation and variable viscosity are the exponential decay form and thermal
conductivity is the linear form in the governing equation. Using similarity
transformations, the governing coupled non-linear partial differential equations are
transformed into a system of coupled non-linear ordinary differential equations and
then solved using Maple symbolic software to execute the computations via dsolve.
The effects of the temperature-dependent viscosity, the wall velocity power index,
the thermal conductivity, the wall temperature parameter, and the Prandtl number
on the flow and temperature fields are presented. The skin friction and the wall
temperature gradient are also presented for different values of the physical
parameters.

Keywords

Journal of the Egyptian Mathematical Society
Volume 27, Issue 1
2019
Pages 1-11

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