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Technical Briefs

Investigation of Heat Transfer Enhancement Through Permeable Fins

[+] Author and Article Information
A.-R. A. Khaled1

Department of Thermal Engineering and Desalination Technology, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabiaakhaled@kau.edu.sa

1

Corresponding author.

J. Heat Transfer 132(3), 034503 (Dec 29, 2009) (5 pages) doi:10.1115/1.4000056 History: Received April 10, 2009; Revised July 30, 2009; Published December 29, 2009; Online December 29, 2009

Heat transfer through rectangular permeable fins is modeled and analyzed theoretically in this work. The free stream fluid flow is considered to be normal to the upper surface of the permeable fin. The flow across the permeable fin is permitted in this work. The continuity, momentum, and energy equations are solved for the fluid flow using a similarity transformation and an iterative tridiagonal finite difference method. As such, a correlation for the Nusselt number is generated as functions of the Prandtl number (Pr) and dimensionless suction velocity (fo) for 0.7<Pr10 and 0<fo5, respectively. The energy equation for the permeable fin is generated and solved analytically using the developed correlation. It was found that permeable fins may have superiority in transferring heat over ordinary solid fins, especially at large fo values and moderate holes-to-fin surface area ratios. In addition, the critical holes-to-fin surface area ratios, below which the permeable fins transfer more heat than solid fins, is found to increase as Pr and fo increase. Finally, this work paves a way for a new passive method for enhancing heat transfer.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic diagram for the present permeable plate with flow configuration

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Figure 2

Schematic diagram for the permeable fin

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Figure 3

Effects of the dimensionless suction velocity fo and the holes-to-fin surface area ratio ε on the fin performance indicator γ

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Figure 4

Effects of the dimensionless suction velocity fo and Prandtl number Pr on the fin performance indicator γ

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Figure 5

Effects of holes-to-fin area ratio ε and dimensionless suction velocity fo on the fin performance indicator γ

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