Modeling the flash-heat experiment on porous domains

Authors:
H. T. Banks, D. Cioranescu, A. K. Criner and W. P. Winfree

Journal:
Quart. Appl. Math. **70** (2012), 53-67

MSC (2000):
Primary 35B27, 76R50, 78M40

DOI:
https://doi.org/10.1090/S0033-569X-2011-01230-8

Published electronically:
September 16, 2011

MathSciNet review:
2920615

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Abstract | References | Similar Articles | Additional Information

Abstract: We discuss a mathematical model for the flash-heat experiment in homogeneous isotropic media. We then use this model to investigate the use of homogenization techniques in approximating models for interrogation via flash-heating in porous materials. We represent porous materials as both randomly perforated domains and periodically perforated domains.

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Additional Information

**H. T. Banks**

Affiliation:
Department of Mathematics, Center for Research in Scientific Computation, North Carolina State University, Raleigh, North Carolina 27695-8212

**D. Cioranescu**

Affiliation:
Laboratoire J. L. Lions, Université Pierre et Marie Curie, 175 rue du Chevaleret, 75013 Paris, France

**A. K. Criner**

Affiliation:
Department of Mathematics, Center for Research in Scientific Computation, North Carolina State University, Raleigh, North Carolina 27695-8212

**W. P. Winfree**

Affiliation:
Nondestructive Evaluation Science Branch, NASA Langley Research Center, MS 231, Hampton, Virginia 23681

DOI:
https://doi.org/10.1090/S0033-569X-2011-01230-8

Keywords:
Modeling porous media,
thermal diffusion,
homogenization

Received by editor(s):
May 16, 2010

Published electronically:
September 16, 2011

Article copyright:
© Copyright 2011
Brown University