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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September 2008
Research Papers
Optimization of Pin-Fin Heat Sinks in Bypass Flow Using Entropy Generation Minimization Method
W. A. Khan,
W. A. Khan
Associate Professor
Department of Engineering Sciences,
National University of Sciences and Technology
, PN Engineering College, PNS Jauhar, Karachi, Sindh 75350, Pakistan
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J. R. Culham,
J. R. Culham
Associate Professor and Director
Microelectronic Heat Transfer Laboratory, Department of Mechanical Engineering,
University of Waterloo
, Waterloo, ON, N2L 3G1, Canada
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M. M. Yovanovich
M. M. Yovanovich
Distinguished Professor Emeritus
Department of Mechanical Engineering,
University of Waterloo
, Waterloo, ON, N2L 3G1, Canada
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W. A. Khan
Associate Professor
Department of Engineering Sciences,
National University of Sciences and Technology
, PN Engineering College, PNS Jauhar, Karachi, Sindh 75350, Pakistan
J. R. Culham
Associate Professor and Director
Microelectronic Heat Transfer Laboratory, Department of Mechanical Engineering,
University of Waterloo
, Waterloo, ON, N2L 3G1, Canada
M. M. Yovanovich
Distinguished Professor Emeritus
Department of Mechanical Engineering,
University of Waterloo
, Waterloo, ON, N2L 3G1, CanadaJ. Electron. Packag. Sep 2008, 130(3): 031010 (7 pages)
Published Online: August 1, 2008
Article history
Received:
May 18, 2007
Revised:
December 1, 2007
Published:
August 1, 2008
Citation
Khan, W. A., Culham, J. R., and Yovanovich, M. M. (August 1, 2008). "Optimization of Pin-Fin Heat Sinks in Bypass Flow Using Entropy Generation Minimization Method." ASME. J. Electron. Packag. September 2008; 130(3): 031010. https://doi.org/10.1115/1.2965209
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