The optimum approach of a heat sink with the least material cost for maximum heat dissipation is presented in this study. The longitudinal fin arrays of a heat sink can have either cylindrical, square, equilateral triangular and rectangular cross section in the theoretical analysis of the cooling effect. In addition, the convection effect due to the fin tip loss has been incorporated into the derivation. By input the Biot number, Bi*, heat transfer ratios Hb* and He*, the optimum heat transfer equation can be derived in transcendental form which can be solved by iterative method to calculate the optimum fin length and fin cross section. Meanwhile, the thermal resistance of a heat sink can be obtained to illustrate the cooling performance under various design conditions. Finally, examples are provided to show the results for practical purpose.
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ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference collocated with the ASME 2007 InterPACK Conference
July 8–12, 2007
Vancouver, British Columbia, Canada
Conference Sponsors:
- Heat Transfer Division
ISBN:
0-7918-4275-4
PROCEEDINGS PAPER
Optimum Fin Aspect Ratio of a Heat Sink for the Maximum Cooling Effectiveness Including Fin Tip Convection Effect Available to Purchase
Hong-Sen Kou,
Hong-Sen Kou
Tatung University, Taipei, Taiwan, R.O.C.
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Ji-Jen Lee,
Ji-Jen Lee
Tatung University, Taipei, Taiwan, R.O.C.
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Chih-Wei Chen
Chih-Wei Chen
Tatung University, Taipei, Taiwan, R.O.C.
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Hong-Sen Kou
Tatung University, Taipei, Taiwan, R.O.C.
Ji-Jen Lee
Tatung University, Taipei, Taiwan, R.O.C.
Chih-Wei Chen
Tatung University, Taipei, Taiwan, R.O.C.
Paper No:
HT2007-32357, pp. 437-446; 10 pages
Published Online:
August 24, 2009
Citation
Kou, H, Lee, J, & Chen, C. "Optimum Fin Aspect Ratio of a Heat Sink for the Maximum Cooling Effectiveness Including Fin Tip Convection Effect." Proceedings of the ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference collocated with the ASME 2007 InterPACK Conference. ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference, Volume 2. Vancouver, British Columbia, Canada. July 8–12, 2007. pp. 437-446. ASME. https://doi.org/10.1115/HT2007-32357
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