On the effect of magnetic field on thermal performance of convective-radiative fin with temperature-dependent thermal conductivity

The removal of the excess heat by effective cooling technology is very vital for reliable operation, proper functioning and performance of thermal components, equipment and systems. In such phenomena, fins or extended surfaces play an essential and a very important role among various passive and active cooling options. In this paper, the effect of magnetic field on the thermal analysis of convective-radiative straight fin with temperature-dependent thermal conductivity is investigated using a new iterative method proposed by Daftardar-Gejiji and Jafari. The developed analytical solution is used not only to investigate the effects of magnetic parameter but also to establish the effects of convective and radiative parameters on the thermal performance of the fin under the influence of the magnetic field. From the results, it is established that increase in magnetic, convective and radiative parameters increase the rate of heat transfer from the fin and consequently improve the thermal performance of the fin. The results obtained are compared with the results established in the literature and good agreements are found. The analysis serves as a basis for comparison with any other method of analysis of the problem and also as a platform for improvement in the design of fin in heat transfer equipment under the influence of magnetic field.