MICROWAVE-HEATING OF MATERIALS WITH LOW CONDUCTIVITY

A H PINCOMBE, N F SMYTH

Research output: Contribution to journalArticlepeer-review

Abstract

The microwave heating of a one-dimensional, semi-infinite material with low conductivity is considered. Starting from Maxwell's equations, it is shown that this heating is governed by a coupled system consisting of the damped wave equation and a forced heat equation with forcing depending on the amplitude squared of the electric field. For simplicity, the conductivity of the material and the speed of microwave radiation in the material are assumed to have power law dependencies on temperature. Approximate analytical solutions of the governing equations are found as a slowly varying wave. These solutions and the slow equations from which they are derived are found to give criteria for when 'hotspots' (regions of very high temperature relative to their surroundings) can form. The approximate analytical solutions are compared with numerical solutions of the governing equations.

Original languageEnglish
Pages (from-to)479-498
Number of pages20
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume433
Issue number1889
Publication statusPublished - 8 Jun 1991

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