Numerical Analysis of Transient Heat Transfer in Radial Porous Moving Fin with Temperature Dependent Thermal Properties

Document Type: Research Paper

Author

1 School of Computer Science and Applied Mathematics, University of the Witwatersrand, Private, Bag 3, WITS 2050, Johannesburg, South Africa

2 Standard Bank of South Africa, 30 Baker Street, Rosebank, Johannesburg, 2196, South Africa

Abstract

In this article, a time dependent partial differential equation is used to model the nonlinear boundary value problem describing heat transfer through a radial porous moving fin with rectangular profile. The study is performed by applying a numerical solver in MATLAB (pdepe), which is a centered finite difference scheme. The thermal conductivity and fin surface emissivity are linearly dependent on temperature while the heat transfer coefficient is given by power law function of temperature. The effects of thermo-physical parameters, such as the Peclet number, surface emissivity coefficient, power index of heat transfer coefficient, convective-conductive parameter, radiative-conductive parameter and non-dimensional ambient temperature on temperature are studied.

Keywords

Main Subjects

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