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Research Papers

Optimization of Pin-Fin Heat Sinks in Bypass Flow Using Entropy Generation Minimization Method

[+] Author and Article Information
W. A. Khan

Department of Engineering Sciences, National University of Sciences and Technology, PN Engineering College, PNS Jauhar, Karachi, Sindh 75350, Pakistan

J. R. Culham

Microelectronic Heat Transfer Laboratory, Department of Mechanical Engineering, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

M. M. Yovanovich

Department of Mechanical Engineering, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

J. Electron. Packag 130(3), 031010 (Aug 01, 2008) (7 pages) doi:10.1115/1.2965209 History: Received May 18, 2007; Revised December 01, 2007; Published August 01, 2008

An entropy generation minimization method is applied to study the thermodynamic losses caused by heat transfer and pressure drop for the fluid in a cylindrical pin-fin heat sink and bypass flow regions. A general expression for the entropy generation rate is obtained by considering control volumes around the heat sink and bypass regions. The conservation equations for mass and energy with the entropy balance are applied in both regions. Inside the heat sink, analytical/empirical correlations are used for heat transfer coefficients and friction factors, where the reference velocity used in the Reynolds number and the pressure drop is based on the minimum free area available for the fluid flow. In bypass regions theoretical models, based on laws of conservation of mass, momentum, and energy, are used to predict flow velocity and pressure drop. Both in-line and staggered arrangements are studied and their relative performance is compared to the same thermal and hydraulic conditions. A parametric study is also performed to show the effects of bypass on the overall performance of heat sinks.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

Front, top, and side views of an in-line pin-fin heat sink in the bypass flow

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Figure 2

Thermal resistance and pressure drop in the side and top bypass flows

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Figure 3

Dimensionless entropy generation rate versus the side and top clearances

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Figure 4

Dimensionless entropy generation rate versus the side clearance for different pin diameters

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Figure 5

Dimensionless entropy generation rate versus the side clearance for different pin heights

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Figure 6

Comparison of the thermal resistance and the pressure drop for in-line and staggered arrangements

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Figure 7

Comparison of the dimensionless entropy generation rate for in-line and staggered arrangements

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