NUMERICAL SHAPE OPTIMIZATION FOR HIGH PERFORMANCE OF A HEAT SINK WITH PIN-FINS
- 1 November 2004
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer, Part A: Applications
- Vol. 46 (9), 909-927
- https://doi.org/10.1080/104077890503934
Abstract
The design optimization of a 7 × 7 pin-fin heat sink is performed numerically. To achieve higher thermal performance of the heat sink, the thermal resistance at the junction of the chip and the heat sink and the overall pressure drop in the heat sink have to be minimized simultaneously. The fin height (h), fin width (w), and fan-to-heat sink distance (c) are chosen as the design variables, and the pressure drop (ΔP) and thermal resistance (θ ja ) are adopted as the objective functions. To obtain the optimum design values, we used the finite-volume method for calculating the objective functions, the Broydon-Fletcher-Goldfarb-Shanno method for solving the unconstrained nonlinear optimization problem, and the weighting method for predicting the multiobjective problem. The results show that the optimum design variables for the weighting coefficient of 0.5 are as follows: w = 4.653 mm, h = 59.215 mm, and c = 2.669 mm. The objective functions corresponding to the optimal design are calculated as ΔP = 6.82 Pa and θ ja = 0.56 K/W. The Pareto solutions are also presented for various weighting coefficients, and they offer very useful data for designing a pin-fin heat sink.Keywords
This publication has 8 references indexed in Scilit:
- OPTIMUM DESIGN OF PLATE HEAT EXCHANGER WITH STAGGERED PIN ARRAYSNumerical Heat Transfer, Part A: Applications, 2004
- Methodology for predicting pin-fin fan-sink performancePublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- A Heat Sink Performance Study Considering Material, Geometry, Nozzle Placement, and Reynolds Number With Air ImpingementJournal of Electronic Packaging, 1999
- Optimisation of structured grid spacing parameters for separated flow simulation using mathematical optimisationJournal of Wind Engineering and Industrial Aerodynamics, 1999
- Optimal Spacing Between Pin Fins With Impinging FlowJournal of Heat Transfer, 1996
- A two-equation heat transfer model reflecting second-moment closures for wall and free turbulent flowsInternational Journal of Heat and Fluid Flow, 1996
- Optimization of joined-wing aircraftJournal of Aircraft, 1993
- Theory of algorithms for unconstrained optimizationActa Numerica, 1992