We study the efficiency of shrinking/stretching radiative fins to improve heat transfer rate. To evaluate the competence of suggested fins, the influence of shrinking/stretching, thermogeometric parameters, surface temperature, convection conduction, radiation conduction, and Peclet number is investigated. The problem is solved numerically using a shooting method. To validate the numerical solution, the results are compared with the solution of a differential transform method. Temperature distribution increases with a rise in convection and radiation conduction parameters when Peclet number, stretching/shrinking, ambience, and surface temperatures are raised. The temperature of the fin’s tip increases as ambient temperature, Peclet number, and surface temperature increase, and decreases for enhanced radiation and convection conduction parameters. Radiation and convection cause the efficiency of the fin to increase for shrinking and decrease for stretching, which shows an important role in heat transfer analysis in mechanical engineering. The formulated model is also studied analytically, and the result is compared to numerical solution, which shows qualitatively good agreement.
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.
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