Wavelet collocation solution of non-linear Fin problem with temperature dependent thermal conductivity and heat transfer coefficient

Abstract

In this paper, Wavelet Collocation Method has been used to solve nonlinear n problem with temperature dependent thermal conductivity and heat transfer coecient. Thermal conductivity of n materials varies any type so that we consider thermal conductivity as the general function of temperature. Here we consider three particular cases, where we assume that thermal conductivity is constant, linear and exponential function of temperature. In each case eciency of n is evaluated. The whole analysis is presented in dimensionless form and the eect of variability of n parameter, exponent and thermal conductivity parameter on temperature distribution and n eciency is shown graphically and discussed in detail.