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The effect of conductivity on hotspots

Published online by Cambridge University Press:  17 February 2009

N. F. Smyth
Affiliation:
Department of Mathematics, The King's Buildings, University of Edinburgh, Mayfield Road, Edinburgh, Scotland, EH9 3JZ.
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Abstract

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In industrial applications of microwave heating, it has been observed that rather than the heating taking place uniformly, regions of high temperature, called hot-spots, tend to form. Depending on the industrial application, these can be either desirable or undesirable, and hence a theoretical understanding of the properties of the material that lead to hotspot formation is necessary. It has been shown in previous studies that hotspot formation is a product of the nonlinear dependence of microwave energy absorption by the material on temperature. It is shown in the present work that the conductivity of the material can have a significant effect on hotspot formation and can, if large enough, stop a hotspot from forming.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1992

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