Study of the Convective-Radiative Moving Porous Fin with Temperature-Dependent Variables

In this article, the temperature in a rectangular moving porous fin with a longitudinal profile has been studied, which involves internal heat generation, variable thermal conductivity, and heat transfer coefficient. In real life, we know that these parameters change with temperature, so in this study, we considered these parameters as temperature function. Darcy’s model has been used to form the equation. The heat transfer coefficient is taken as power-law form. A new contribution to this study is adding a porous medium to fin and taking thermal conductivity into four different cases: a constant, a linear, a quadratic, and an exponential form of temperature. The solution to the problem has been carried out by three methods, namely LWCM, LSM, and MM. A comparison of the results obtained by the above-mentioned methods and the exact results has been presented to demonstrate the novelty of the current study. The entire article has been carried out in a non-dimensional form.