MICROWAVE-HEATING OF MATERIALS WITH POWER-LAW TEMPERATURE DEPENDENCIES

A H PINCOMBE, N F SMYTH

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Abstract

The time-dependent microwave heating of a semi-infinite material, which is governed by a coupled system of Maxwell's equations and the forced heat equation, is considered. The dielectric properties of the material are assumed to be temperature-dependent, with this dependence being of a power law form. Asymptotic solutions of the governing equations are found in the high-frequency geometric-optics limit. These solutions are compared with numerical solutions of the governing equations, and good agreement is found.

Original languageEnglish
Pages (from-to)141-176
Number of pages36
JournalIMA Journal of Applied Mathematics
Volume52
Issue number2
Publication statusPublished - 1994

Keywords

  • HALF-SPACE
  • RUNAWAY

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