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RESEARCH PAPERS

The Role of Fin Geometry in Heat Sink Performance

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

Department of Mathematics,  COMSATS Information Technology Center, University Road, 22060, NWFP, Pakistan

J. R. Culham, M. M. Yovanovich

Microelectronics Heat Transfer Laboratory, Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada

J. Electron. Packag 128(4), 324-330 (Feb 24, 2006) (7 pages) doi:10.1115/1.2351896 History: Received July 13, 2004; Revised February 24, 2006

The following study will examine the effect on overall thermal/fluid performance associated with different fin geometries, including, rectangular plate fins as well as square, circular, and elliptical pin fins. The use of entropy generation minimization, EGM, allows the combined effect of thermal resistance and pressure drop to be assessed through the simultaneous interaction with the heat sink. A general dimensionless expression for the entropy generation rate is obtained by considering a control volume around the pin fin including base plate and applying the conservations equations for mass and energy with the entropy balance. The formulation for the dimensionless entropy generation rate is developed in terms of dimensionless variables, including the aspect ratio, Reynolds number, Nusselt number, and the drag coefficient. Selected fin geometries are examined for the heat transfer, fluid friction, and the minimum entropy generation rate corresponding to different parameters including axis ratio, aspect ratio, and Reynolds number. The results clearly indicate that the preferred fin profile is very dependent on these parameters.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

Cross sections of selected geometries

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Figure 2

Control volume for calculating Ṡgen for single circular pin

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Figure 3

Effect of the Reynolds number on heat transfer coefficients

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Figure 4

Effect of the Reynolds number on drag coefficients

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Figure 5

Effect of the axis ratio on heat transfer coefficients

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Figure 6

Effect of the axis ratio on drag coefficients

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Figure 7

Contribution of heat transfer and friction irreversibilities in dimensionless entropy generation rate

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Figure 8

Dimensionless entropy generation rate versus Reynolds number for different geometries

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Figure 9

Dimensionless entropy generation rate versus Reynolds number for elliptical geometry

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Figure 10

Effect of aspect ratio on dimensionless entropy generation rate

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Figure 11

Effect of perimeter on dimensionless entropy generation rate

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