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Optimizing a Functionally Graded Metal-Matrix Heat Sink Through Growth of a Constructal Tree of Convective Fins

[+] Author Affiliations
Jacob Kephart

Naval Surface Warfare Center, Carderock Division, Philadelphia, PAVillanova University, Philadelphia, PA

G. F. Jones

Villanova University, Philadelphia, PA

Paper No. HT2013-17384, pp. V003T10A001; 12 pages
  • ASME 2013 Heat Transfer Summer Conference collocated with the ASME 2013 7th International Conference on Energy Sustainability and the ASME 2013 11th International Conference on Fuel Cell Science, Engineering and Technology
  • Volume 3: Gas Turbine Heat Transfer; Transport Phenomena in Materials Processing and Manufacturing; Heat Transfer in Electronic Equipment; Symposium in Honor of Professor Richard Goldstein; Symposium in Honor of Prof. Spalding; Symposium in Honor of Prof. Arthur E. Bergles
  • Minneapolis, Minnesota, USA, July 14–19, 2013
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 978-0-7918-5549-2
  • Copyright © 2013 by ASME


This work focuses on an analytical approach to understand optimal material utilization in metal matrix heat exchangers. An objective of this work is to develop a bridge between a fully defined and discrete structure to that of a functionally graded porous media. A porous media heat exchanger is a structure which uses porous material, such as a metal foam, to achieve large convective surface areas in a small volume while also using the media as a conductive path from the heat source or sink. Therefore, a functionally graded porous media heat exchanger has a porosity that is specified as a function of position. Constructal theory is used here to develop increasingly complex convective fin structures, optimized at each level of complexity, which have a resulting characteristic of 2-D functional grading. The approach described here is developed from first principles by using Fourier’s law to develop analytical solutions and seeks to yield an optimized heat exchanger configuration that maximizes total heat transfer subject to a fixed amount conductive material, total volume, and flow condition.

Copyright © 2013 by ASME
Topics: Metals , Fins , Heat sinks



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