Estimating magnetic field strength in a porous fin from a surface temperature response

Abstract

This Letter demonstrates a non-destructive prediction methodology for determining the necessary magnetic field to be imposed in a porous fin satisfying a particular heat generation occurring within an electronic device. For the first time, all possible kinds of heat transfer have been incorporated here, which were otherwise ignored in other published studies of a similar kind. Just observing the surface thermal response, golden section search (GSS) solver, in conjunction with a forward numerical scheme, has been used in this work to determine the strength of the magnetic field. Estimations are done for various levels of additive white Gaussian noise and satisfactory reconstructions are noted for noise level even up to 12%. The numerical method has been convincingly validated with other schemes of the published literature. Sensitivity analysis reveals that the temperature distribution is per se a strong function of the fin porosity and governed by a mutual trade-off between the heat generation rate and the imposed magnetic field. The results obtained from the present analysis using GSS are proposed to offer assistance to design efficient porous fin based heat transfer surfaces for providing safety and better cooling in addition to a considerable weight reduction of the system.