Optimum design of a radial heat sink under natural convection. (English) Zbl 1217.80111

Summary: We investigated natural convection heat transfer around a radial heat sink adapted for dissipating heat on a circular LED (light emitting diode) light and optimized heat sink. The numerical results were validated with experimental results and it showed a good agreement. To select the optimum reference model, three types of heat sinks (L, LM and LMS model) were compared. Parametric studies were performed to compare the effects of the number of fins, long fin length, middle fin length and heat flux on the thermal resistance and average heat transfer coefficient. Finally, multi-objective optimizations considering thermal performance and mass simultaneously were performed and Pareto front were conducted with various weighting factors. It was found that it was impossible to optimize both thermal performance and heat sink mass at the same time, and there existed an upper limit to the ratio of weighting factors \((\omega _{1}/\omega _{2})\).


80A20 Heat and mass transfer, heat flow (MSC2010)
76R10 Free convection
80-05 Experimental work for problems pertaining to classical thermodynamics
80M10 Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer
80M50 Optimization problems in thermodynamics and heat transfer
76M10 Finite element methods applied to problems in fluid mechanics
90C29 Multi-objective and goal programming
Full Text: DOI


[1] Harahap, F.; Setio, D.: Correlation for heat dissipation and natural convection heat-transfer from horizontally based, vertically-finned arrays, Appl. energy 69, 273-278 (2001)
[2] Huang, R. -T.; Sheu, W. -J.; Wang, C. -C.: Orientation effect of natural convective performance of square pin fin heat sinks, Int. J. Heat mass transfer 51, 2368-2376 (2008)
[3] Harahap, F.; Mcmanus, H. N.: Natural convection heat transfer from horizontal rectangular fin arrays, J. heat transfer 89, 32-38 (1967)
[4] Jones, C. D.; Smith, L. F.: Optimum arrangement of rectangular fins on horizontal surfaces for free-convection heat transfer, J. heat transfer, trans. ASME 92, 6-10 (1970)
[5] Ledezma, G.; Bejan, A.: Heat sinks with sloped plate fins in natural and forced convection, Int. J. Heat mass transfer 39, 1773-1783 (1996)
[6] Bar-Cohen, A.; Iyengar, M.; Kraus, A. D.: Design of optimum plate-fin natural convective heat sinks, J. electron. Packaging trans. ASME 125, 208-216 (2003)
[7] Dialameh, L.; Yaghoubi, M.; Abouali, O.: Natural convection from an array of horizontal rectangular thick fins with short length, Appl. therm. Eng. 28, 2371-2379 (2008)
[8] Patankar, S. V.; Liu, C. H.; Sparrow, E. M.: Fully developed flow and heat transfer in ducts having streamwise-periodic variations of cross-sectional area, J. heat transfer 99, 180-186 (1977)
[9] N. Ellison, Thermal computations for electronic equipment, Robert E. Krieger Publishing Co., Malabar, Florida, 1989, pp. 121 – 127.
[10] Yu, S. H.; Lee, K. S.; Yook, S. J.: Natural convection around a radial heat sink, Int. J. Heat mass transfer 53, 2935-2938 (2010) · Zbl 1191.80035
[11] PIAno (Process Integration, Automation and Optimization) User’s manual, Version 3.21, Framax INC., 2010.
[12] M.J. Jeong, Integrated Support System for Decision-Making in Design Optimization, PhD Thesis, University of Tokyo, Tokyo, Japan, 2003.
[13] Foli, K.; Okabe, T.; Olhofer, M.; Jin, Y.; Sendhoff, B.: Optimization of micro heat exchanger: CFD, analytical approach and multi-objective evolutionary algorithms, Int. J. Heat mass transfer 49, 1090-1099 (2006) · Zbl 1189.76446
[14] Hilbert, R.; Janiga, G.; Baron, R.; ThĂ©venin, D.: Multi-objective shape optimization of a heat exchanger using parallel genetic algorithms, Int. J. Heat mass transfer 49, 2567-2577 (2006) · Zbl 1189.80056
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.