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Geometry optimization of a cylindrical fin heat sink using mine blast algorithm


The heat sinks are utilized in electronic devices to eliminate heat from the chip and efficiently transmit it to the environment. Therefore, the optimal geometry sizes of fin heat sinks are the point of concern for manufacturers and designers. For this reason, the importance of optimization techniques particularly metaheuristics is understood. The design variables are width of heat sink, number of fins, fin height, and fin diameter. The various responses that have been considered are electromagnetic emitted radiations, thermal resistance, and mass of the heat sink investigated separately and simultaneously (multi-objective). Mine blast algorithm (MBA), as a recently developed optimizer, is inspired from explosion of mines. The optimum dimensions and values for each response have been obtained by the MBA and have been compared with other optimization methods in the literature. In terms of thermal resistance and mass responses, the MBA has offered better values, while for the emitted radiations, the obtained results obtained by Taguchi-based gray relational analysis (TGRA) was preferred. For manufacturing point of view, the MBA and TGRA both suggested better and efficient design. In addition, the value path analysis has been carried out to compare the trade-off among the considered responses. Finally, parametric sensitivity analyses have been implemented for design parameters, and discussions and comparisons have been carried out for the effects of each decision variable. By considering all responses, width of heat sink and fin height are considered as the most important and effective design parameters, respectively.

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  1. Kim SK, Lee S (1997) On heat sink measurement and characterization. Proceedings of the Pacific Rim/ASME International Intersociety Electronic & Photonic Packaging Conference (INTERPACK’97), Hawaii, June 1519

  2. Biber CR, Belady CL (1997) Pressure drop prediction for heat sinks: what is the best method? Proceedings of the Pacific Rim/ASME International Intersociety Electronic & Photonic Packaging Conference (INTERPACK’97), Hawaii, June, 1519

  3. Rao T (2001) Fundamentals of microelectronic packaging. McGraw-Hill, New York

    Google Scholar 

  4. Shih CJ, Liu GC (2004) Optimal design methodology of plate-fin heat sinks for electronic cooling using entropy generation strategy. Comp Packag Tech IEEE Trans 27(3):551–559

    Article  Google Scholar 

  5. Shah A, Sammakia B, Srihari H (2002) A numerical study of the thermal performance of an impingement heat sink fin shape optimization. ITHERM 2002:298–306

    Google Scholar 

  6. Khan WA, Yovanovich MM, Culham JR (2006) Optimization of micro channel heat sinks using entropy generation minimization method. IEEE International Conference on Semiconductor Thermal Measurement and Management Symposium, pp 78–86

  7. Visser JA, de Kock DJ, Conradie FD (2000) Minimization of heat sink mass using mathematical optimization. IEEE Semiconductor Thermal Measurement and Management Symposium, pp 252–259

  8. Lin CL (2004) Use of the Taguchi method and grey relational analysis to optimize turning operations with multiple performance characteristics. Mater Manuf Process 19(2):209–220

    Article  Google Scholar 

  9. Manivannan S, Devi SP, Arumugam R, Sudharsan NM (2011) Multi-objective optimization of flat plate heat sink using Taguchi-based grey relational analysis. Int J Adv Manuf Technol 52(5–8):739–749

    Article  Google Scholar 

  10. Devi SP, Manivannan S, Rao KS (2012) Comparison of nongradient methods with hybrid Taguchi-based epsilon constraint method for multiobjective optimization of cylindrical fin heat sink. Int J Adv Manuf Technol 63:1081–1094

    Article  Google Scholar 

  11. Chiang K-T, Chang F-P, Tsai T-C (2006) Optimum design parameters of pin-fin heat sink using the grey-fuzzy logic based on the orthogonal arrays. Int Commun Heat Mass Transf 33:744–752

    Article  Google Scholar 

  12. Chou C-C, Liu N-M, Horng J-T, Chiang K-T (2009) Designing parameter optimization of a parallel-plain fin heat sink using the grey-based fuzzy algorithm with the orthogonal arrays. Int J Therm Sci 48:2271–2279

    Article  Google Scholar 

  13. Osman IH, Laporte G (1996) Metaheuristics: a bibliography. Ann Oper Res 63:513–623

    Article  MATH  MathSciNet  Google Scholar 

  14. Blum C, Andrea R (2003) Metaheuristics in combinatorial optimization: overview and conceptual comparison. ACM Comput Surv 35(3):268–308

    Article  Google Scholar 

  15. Yang XS (2010) Nature-inspired metaheuristic algorithms, 2nd edn. Press, Luniver

    Google Scholar 

  16. Yang XS (2010) Engineering optimization: an introduction with metaheuristic applications. Wiley, Hoboken

    Book  Google Scholar 

  17. Glover F, Kochenberger GA (2003) Handbook of metaheuristics. Norwell, Kluwer

    MATH  Google Scholar 

  18. Chen C-T, Ching-Kuo W, Hwang C (2008) Optimal design and control of CPU heat sink processes, components and packaging technologies. IEEE Trans 31(1):184–195

    Google Scholar 

  19. Sadollah A, Bahreininejad A, Eskandar H, Hamdi M (2013) Mine blast algorithm: a new population based algorithm for solving constrained engineering optimization problems. Appl Soft Comput 13(5):2592–2612

    Article  Google Scholar 

  20. Sadollah A, Bahreininejad A, Eskandar H, Hamdi M (2012) Mine blast algorithm for optimization of truss structures with discrete variables. Comput Struct 102–103:49–63

    Article  Google Scholar 

  21. Schilling DA, Revelle C, Cohon J (1983) An approach to the display and analysis of multiobjective problems. Socioecon Plann Sci 17(2):57–63

    Article  Google Scholar 

  22. Gupta S, Tiwari R, Nair SB (2007) Multi-objective design optimization of rolling bearings using genetic algorithms. Mech Mach Theory 42:1418–1443

    Article  MATH  Google Scholar 

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Correspondence to Joong Hoon Kim.

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Sadollah, A., Eskandar, H. & Kim, J.H. Geometry optimization of a cylindrical fin heat sink using mine blast algorithm. Int J Adv Manuf Technol 73, 795–804 (2014).

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