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.
