Heat transfer analysis in stretching/shrinking rectangular fin with
convection and radiation
Abstract
The aim of this work is to enhance the heat transfer and study the
efficiency of stretching/shrinking, radiating and rectangular fins. The
effect of the dimensionless parameters, that is, radiation-conduction,
convection-conduction stretching, thermo-geometric parameters as well as
the Peclet number, and surface temperature are investigated on the
efficiency of stretching/shrinking and rectangular fins. The considered
model is studied analytically using Differential Transform Method (DTM).
The result is analyzed with the numerical solution for the accuracy of
the semi-analytical solution, where good agreement is obtained. The
impact of the considered parameters is studied numerically on the
temperature distribution, fin’s tip temperature, and the efficiency of
the fin, where the combined effects of radiation and stretching/
shrinking enhance the system in the heat transfer with better
efficiency. The shrinking of the fin with radiation increases the
efficiency as compared to stretching with radiation is observed, which
plays a significant role in mechanical engineering.