MICROWAVE-HEATING OF MATERIALS WITH POWER-LAW TEMPERATURE DEPENDENCIES

A H  PINCOMBE; N F  SMYTH

MICROWAVE-HEATING OF MATERIALS WITH POWER-LAW TEMPERATURE DEPENDENCIES

A H PINCOMBE, N F SMYTH

School of Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	141-176
Number of pages	36
Journal	IMA Journal of Applied Mathematics
Volume	52
Issue number	2
Publication status	Published - 1994

Keywords

HALF-SPACE
RUNAWAY

Cite this

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title = "MICROWAVE-HEATING OF MATERIALS WITH POWER-LAW TEMPERATURE DEPENDENCIES",

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.",

keywords = "HALF-SPACE, RUNAWAY",

author = "PINCOMBE, {A H} and SMYTH, {N F}",

year = "1994",

language = "English",

volume = "52",

pages = "141--176",

journal = "IMA Journal of Applied Mathematics",

issn = "0272-4960",

publisher = "Oxford University Press",

number = "2",

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TY - JOUR

T1 - MICROWAVE-HEATING OF MATERIALS WITH POWER-LAW TEMPERATURE DEPENDENCIES

AU - PINCOMBE, A H

AU - SMYTH, N F

PY - 1994

Y1 - 1994

N2 - 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.

AB - 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.

KW - HALF-SPACE

KW - RUNAWAY

M3 - Article

VL - 52

SP - 141

EP - 176

JO - IMA Journal of Applied Mathematics

JF - IMA Journal of Applied Mathematics

SN - 0272-4960

IS - 2

ER -