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research-article

NUMERICAL STUDY OF ANISOTROPIC CYLINDRICAL PIN FIN THERMAL BEHAVIOR

[+] Author and Article Information
Imane Aslib

Hassan II University Faculty of Science, Mechanics Laboratory, Casablanca, Morocco
i.aslib88@gmail.com

Hamid Hamza

Hassan II University Faculty of Science, Mechanics Laboratory, Casablanca, Morocco
hamza.hamidd@gmail.com

Nisrine Hanchi

Hassan II University Faculty of Science, Mechanics Laboratory, Casablanca, Morocco
nh.hanchi@gmail.com

Jawad Lahjomri

Hassan II University Faculty of Science, Mechanics Laboratory, Casablanca, Morocco
lahjomri@hotmail.com

Abdelaziz Oubarra

Hassan II University Faculty of Science, Mechanics Laboratory, Casablanca, Morocco
aoubarra@gmail.com

1Corresponding author.

ASME doi:10.1115/1.4042056 History: Received March 21, 2018; Revised November 15, 2018

Abstract

This paper deals with the transient thermal analysis of two-dimensional cylindrical anisotropic pin fin that contains tip convection and subjected to a step change in base temperature. The heat conduction equation should involve a dual second-order derivation, which precludes solving the equation by direct application of common exact methods. Therefore, an appropriate canonical mapping is selected as a solution to cancel the dual derivation of temperature in the mapped equations. The alternating-direction implicit finite-difference method (ADI) performs the integration of the mapped equations in the novel space, which involve a complicate geometry. Applying the inverse spatial transformation provides transient temperature profile in the real geometry for full field configuration. The established numerical code has been validated successfully with the analytical solutions of the usual fins (orthotropic and isotropic). The anisotropy effect is investigated by means of various contour plots of the temperature profile as well as, heat transfer rate from the fin base and the effectiveness for different parameters of study (kr/kz, krz/kz and Bir) in transient and steady sate heat conduction. A comparative study with the case of the orthotropic fins heat sink reveals that anisotropy has insignificant effect on the optimal operating conditions and by consequently on the performance of the fin while it has a very important and non-neglecting effect in the shape and the behavior of the temperature profile and the heat transfer rate from the fin base.

Copyright (c) 2018 by ASME
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