Open Access

ABSTRACT

Conjugate Heat Transfer of Forced Convection with Viscous Dissipation for Visco-Elastic Fluid Past a Flat Plate Fin

by Kai-Long Hsiao¹, Cheng-Hsing Hsu²

1 Department of the Electrical Engineering, Diwan University, 87-1, Nansh Li, Madou Jen, Tainan,Taiwan, Republic of China. Email: hsiao.kailong@msa.hinet.net
2 Mechanical Engineering Department, Chung Yuan, Christian University, Chung-Li, Taiwan 32023, Republic of China

The International Conference on Computational & Experimental Engineering and Sciences 2009, 9(1), 3-22. https://doi.org/10.3970/icces.2009.009.003

Abstract

A conjugate forced convection with viscous dissipation heat transfer problem of a second-grade visco-elastic fluid past a flat plate fin has been studied. Governing equations include heat conduction equation of the fin, and continuity equation, momentum equation and energy equation of the fluid, were analyzed by a combination of a series expansion method, the similarity transformation and a second-order accurate finite-difference method. Solutions of a stagnation flow (β = 1.0) at the fin tip and a flat plate shape (wedge flow β = 0.0) on the fin surface were obtained by a generalized Falkner-Skan flow derivation. These solutions were used to iterate with the heat conduction equation of the fin to obtain distributions of the local convective heat transfer coefficient and the fin temperature. Ranges of dimensionless parameters, the Prandtl number (Pr), the elastic number (E), the viscous dissipation parameter (Ec) and the conduction-convection coefficient (Ncc) are from 0.1 to 100, 0.001 to 0.01, 0 to 0.1 and 0.05 to 2.0, respectively. Results indicated that Results indicated that elastic effect in the flow can increase the local heat transfer coefficient and enhance the heat transfer of a flat plate fin. Also, same as results from Newtonian fluid flow and conduction analysis of a flat plate fin, a better heat transfer is obtained with a larger Ncc, E, Ec and Pr.

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Keywords

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