Abstract
In this article, the differential transform method (DTM) is used to solve the nonlinear boundary value problems describing heat transfer in continuously moving fins undergoing convective-radiative heat dissipation. The thermal conductivity is variable and temperature dependent. The surface of the moving fin is assumed to be gray with a constant emissivity ɛ. The flow in the surrounding medium provides a constant heat transfer coefficient h over the entire surface of the moving fins. The effects of some physical parameters such as the Peclet number, Pe, thermal conductivity parameter, β, convection-conduction parameter, Nc, radiation-conduction parameter, Nr, and dimensionless convection-radiation sink temperature, θa, on the temperature distribution are illustrated and explained.
Acknowledgements
PLN, a Ph.D. student at the University of the Witwatersrand, Johannesburg and a Quantitative Analyst at the Standard Bank of South Africa, thanks the Bank for sponsoring the Ph.D. studies. Professor RJM thanks the National Research Foundation South Africa for financial support.
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