## 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 $$(\omega _{1}/\omega _{2})$$.

### MSC:

 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

### Keywords:

natural convection; radial heat sink; optimization; Pareto front
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### References:

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