Year
1992
Degree Name
Doctor of Philosophy
Department
Department of Mathematics
Recommended Citation
Pincombe, A. H., On the microwave heating of materials with temperature dependent properties, Doctor of Philosophy thesis, Department of Mathematics, University of Wollongong, 1992. https://ro.uow.edu.au/theses/1558
Abstract
The time dependent microwave heating of a one-dimensional, semi-infinite body 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 square of the amplitude of the electric field. The dependence of the values of the electromagnetic properties on the temperature is represented by two different power laws and solutions are obtainedin each case. Approximate analytical solutions are obtained for the coupled equations, using perturbation analysis, when the thermal diffusivity is constant and is smaller than the heating rate. The effect of a finite, and possibly nonlinear thermal diffusivity is also considered.
Unless otherwise indicated, the views expressed in this thesis are those of the author and do not necessarily represent the views of the University of Wollongong.