Optimization of Horizontal Plate Fin Heat Sink in Natural Convection for Electronics Cooling by Simulated Annealing Algorithm

Abstract:

In this study, the simulated annealing (SA) algorithm was adopted to optimize the geometry of horizontal plate fin heat sink by the extreme entransy dissipation principle. The alculation of the entransy dissipation rate was presented in detail. Using the entransy dissipation rate as the objective condition, the geometry optimization of the fin heat sink was conducted. To verify the results, the heat source temperature and the entropy generation rate were also calculated in the procedure. It is found that the entrasy dissipation rate, entropy generation and heat source temperature have the similar trend. The extreme entransy dissipation principle and minimization of entropy generation play similar roles in the geometry optimization of plate fin heat sink.

• Periodical: Advanced Materials Research (Volume 1022)
• Pages: 91-95
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.1022.91
• Online since: August 2014
• Authors: Li Zhou*, Yang Liu
• Keywords: Natural Convection, Optimization, Simulated Annealing Algorithm

References

[1] S. Liu, J. H. Yang, Z. Y. Gan, X. B. Luo, Structural optimization of a microjet based cooling system for high power LEDs, International Journal of Thermal Sciences, vol. 27, pp.1086-1095, (2008).

DOI: 10.1016/j.ijthermalsci.2007.09.005

[2] X. B. Luo, Y. L. Liu, W. Liu, A honeycomb micro channel cooling system for electronics cooling, Heat Transfer Engineering, vol. 32(7-8), (2011).

[3] A. Bejan, Entropy generation through heat and fluid flow, New York: Wiley, (1982).

[4] A. Bejan, Entropy generation minimization, Orlando, FL: CRC, (1996).

[5] J. R. Culham, M. M. Yovanovich, and S. Lee, Thermal modeling of isothermal cuboids and rectangular heat sinks cooled by natural convection, IEEE Transactions on Components, Packaging, and Manufacturing Technology A, vol. 18, no. 3, pp.559-566, (1995).

DOI: 10.1109/95.465153

[6] M. Iyengar, A. Bar-Cohen, Least-energy optimization of forced convection plate fin heat sinks. IEEE Transactions of Components and Packaging Technology, vol. 26, pp.62-70, (2003).

DOI: 10.1109/tcapt.2003.811484

[7] T. Chen, and H. I. Chen, Multi-objective optimization design of plate-fin heat sinks using a direction-based genetic algorithm, Journal of the Taiwan Institute of Chemical Engineers, vol. 44, pp.257-265, (2013).

DOI: 10.1016/j.jtice.2012.11.012

[8] A. Bejan, Advanced Engineering Thermodynamics, New York: Wiley, (1998).

[9] Z. Y. Guo, H. Y. Zhu, and X. G. Liang, Entransy – A physical quantity describing heat transfer ability, International Journal of Heat and Mass Transfer, vol. 50, pp.2545-2556, (2007).

DOI: 10.1016/j.ijheatmasstransfer.2006.11.034

[10] Q. Chen, X. G. Liang, and Z. Y. Guo, Entransy theory for optimization of heat transfer – A review and update, International Journal of Heat and Mass Transfer, vol. 63, pp.65-81, (2013).

DOI: 10.1016/j.ijheatmasstransfer.2013.03.019

[11] X. T. Cheng, Q. Z. Zhang, X. H. Xu, and X. G. Liang, Optimization of fin geometry in heat convection with entransy theory, Chinese Physics B, vol. 22, no. 2, p.020503, (2013).

DOI: 10.1088/1674-1056/22/2/020503

[12] J. Moghaddam, and S. Saedodin, Entropy generation minimization of pin fin heat sinks by means of mataheuristic methods, Indian Journal of Science and Technology, vol. 6(7), pp.4886-4893, (2013).

DOI: 10.17485/ijst/2013/v6i7.13

[13] M. M. Yovanovich, and K. Jafarpur, Models of laminar natural convection from vertical and horizontal isothermal cuboids for all Prandtl number and all Rayleigh numbers below 1011, ASME Winter Annual Meeting, New Orleans, Louisianna, (1993).

DOI: 10.2514/6.1993-2750

[14] J. R. Culham, and Y. S. Muzychka, Optimization of plate fin heat sinks using entropy generation minimization, IEEE Transactions on Components and Packaging Technologies, vol. 24, no. 2, pp.159-165, (2001).

DOI: 10.1109/6144.926378

[15] S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, Optimization by simulated annealing, Science, vol. 220, no. 4598, pp.671-680, (1983).

DOI: 10.1126/science.220.4598.671