Abstract
In this work, Laplace transform-Legendre-wavelet collocation method is adopted for a semi-numerical analysis of predicting transient nonlinear behaviour of a radiative-convective fin with temperature-variant internal heat generation. The verification of the results of the hybrid method shown good agreements with the direct numerical and approximate analytical method s in previous works. Parametric analysis depicts the significance of the model parameters in a way that it is found that as the convective-conductive and radiative-conductive parameters increase, temperature distribution decreases in the extended surface. The thermal distribution is augmented in the passive device as thermal conductivity is amplified. At the different positions in the fin, the temperature is enhanced as time progress. The semi-numerical solution provides a very good platform for the predictive analyses of the extended surfaces.
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