THERMAL PERFORMANCES OF ASINUSOIDAL PIN FIN: AN ANALYTICALSOLUTION

In this paper, the Adomian decomposition method is applied to determine the efficiency and the ef-fectiveness of a heat-generating sinusoidal pin fin, involving convective and radiative heat transferswith different environments. The developed analytical solution takes into account the fact that sev-eral characteristics of sinusoidal pin fin are temperature-dependent. The parameters considered tobe temperature-dependent are the thermal conductivity, the convective heat transfer coefficient, theemissivity, and the heat generation rate. To check the applicability of the analytical method, a numer-ical solution is carried out using the finite volume approach. Results from Adomian decompositionmethod were used to investigate the effect of various parameters on the thermal performances of thesinusoidal pin fin. These results show a good agreement with numerical data. In addition, sinusoidalpin fins are found to perform better than the conventional pin fins with uniform cross section