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RESEARCH PAPERS

Design Optimization for Pin-Fin Heat Sinks

[+] Author and Article Information
Han-Ting Chen, Po-Li Chen, Jenn-Tsong Horng

Department of Power Mechanical Engineering,  National Tsing Hua University, Hsinchu 30013, Taiwan

Ying-Huei Hung1

Department of Power Mechanical Engineering,  National Tsing Hua University, Hsinchu 30013, Taiwanyhhung@pme.nthu.edu.tw

1

Corresponding author. Tel: 886-3-5742915; fax: 886-3-5712312.

J. Electron. Packag 127(4), 397-406 (Dec 21, 2004) (10 pages) doi:10.1115/1.2056572 History: Received September 27, 2004; Revised December 21, 2004

An effective method for performing the thermal optimization of fully confined pin-fin heat sinks under constraints of pressure drop, mass, and space limitations has been successfully developed. This study shows how automated design optimization techniques can be successfully applied to optimal design of pin-fin heat sinks, which allows the thermal engineer to meet several design objectives and constraints simultaneously. The thermal and hydrodynamic models for pin-fin heat sinks have been developed. A statistical method for sensitivity analysis of the design factors, including the size of heat source and sink footprint, conductivity of sink base, fin material, fin pitch, fin diameter, fin height, thickness of sink base, and upstream mass flowrate, is performed to determine the key factors that are critical to the design. A response surface methodology is then applied to establish regression models for the thermal resistance and pressure drop in terms of the design factors with an experimental design. By employing the gradient-based numerical optimization technique, a series of constrained optimal designs can be efficiently performed. Comparisons between these predicted optimal designs and those evaluated by the theoretical calculations and numerical simulations are made with satisfactory agreements.

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Copyright © 2005 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Transformation from a pin-fin heat sink to a heat spreader with an overall effective heat transfer coefficient

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Figure 2

Schematic of 3-D heat spreader of a heat source with an overall effective heat transfer coefficient

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Figure 3

Generalized correlations for heat transfer and friction factor data (11)

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Figure 4

Comparisons between present theoretical predictions with experimental data of (13)

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Figure 5

Design variables of pin-fin heat sinks

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Figure 6

Sensitivity analysis of design variables

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Figure 7

One-factor variation plot

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Figure 8

Response surface plots for thermal resistance and pressure drop

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Figure 9

Optimal design plot for case I with boundary limits only

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Figure 10

Optimal design plot for case II with boundary limits and ΔP constraint

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Figure 11

Optimal design plot for case III with boundary limits and mass constraint

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Figure 12

Optimal design plot for case IV with boundary limits, mass constraint, and ΔP constraint

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