Investigation of Heat Transfer from Convective and Radiative Stretching/Shrinking Rectangular Fins

Author:

Din Zia Ud1ORCID,Ali Amir1ORCID,Ullah Sharif1,Zaman Gul1,Shah Kamal12ORCID,Mlaiki Nabil2ORCID

Affiliation:

1. Department of Mathematics, University of Malakand, Chakdara, Lower Dir, Khyber Pakhtunkhwa, Pakistan

2. Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia

Abstract

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.

Funder

Prince Sultan University

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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