MICROWAVE-HEATING OF MATERIALS WITH NONOHMIC CONDUCTANCE

T R MARCHANT, N F SMYTH

Research output: Contribution to journalArticlepeer-review

Abstract

The microwave heating of a material with temperature-dependent, nonohmic conductance is considered both analytically and analytically. In the case when the microwave amplitude is small, it is shown using a multiple scales expansion that the heating is governed by a Ginzburg-Landau type equation. This equation does not possess the solitary wave solutions of the full Ginzburg-Landau equation. Approximate solutions in the form of a slowly varying soliton and a front are found in certain parameter limits; these solutions compare very well with numerical solutions of the full governing equations. Initial-boundary value and initial value problems are considered numerically with particular emphasis on the structure of fronts.

Original languageEnglish
Pages (from-to)1591-1612
Number of pages22
JournalSiam Journal on Applied Mathematics
Volume53
Issue number6
Publication statusPublished - Dec 1993

Keywords

  • MICROWAVE HEATING
  • GINZBURG-LANDAU EQUATION
  • SOLITON
  • WAVE EQUATION
  • HEAT EQUATION
  • EQUATION

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