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Optimization of Absorption in a Porous Media

[+] Author Affiliations
Aleksander Vadnjal, Ivan Catton

University of California at Los Angeles

Paper No. IMECE2004-60140, pp. 115-122; 8 pages
doi:10.1115/IMECE2004-60140
From:
  • ASME 2004 International Mechanical Engineering Congress and Exposition
  • Noise Control and Acoustics
  • Anaheim, California, USA, November 13 – 19, 2004
  • Conference Sponsors: Noise Control and Acoustics Division
  • ISBN: 0-7918-4715-2 | eISBN: 0-7918-4178-2, 0-7918-4179-0, 0-7918-4180-4
  • Copyright © 2004 by ASME

abstract

A majority of past investigations focused on solutions to a specific optimization task with a very limited number of spatial parameters to be varied, usually a fixed geometric configuration, that was tuned in their search for a maximum level of acoustic energy absorption. This approach is a “single-scale” approach yielding an optimum for a certain morphology and flow intensity without giving an explanation for why it was achieved. Without an explanation, there is no guidance on how to change the design to improve its performance. For each new morphology, the experiment, whether real or numerical, needs to be performed again. In the acoustics industry there are countless research studies devoted to this problem. Travkin et al. [1] developed a mathematical basis, using volume averaging theory (VAT), see also Whitaker [2], and models for optimization of a heterogeneous, hierarchical scaled media. The treatment of the optimization process can be applied to any specific hierarchical heterostructure with the aim to optimize its performance. In this work, developments of VAT to describe transport phenomena in heterogeneous media are applied to optimization of acoustic energy absorption by a heterogeneous media. The enhancement of acoustic energy absorption is stated mathematically in a way that the lower scale viscous dissipation and the performance of the total device are incorporated for optimization. The VAT equations derived by Vadnjal and Catton [3] are the basis for a model that successfully describes the non-homogeneous nature of the porous media, allowing optimization of a heterogeneous structure for optimum performance.

Copyright © 2004 by ASME

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