A model for the microwave heating of a thin ceramic slab in a multimode cavity

被引：3

作者：

Agrawal, S. ^{[1
]}

Kriegsmann, G. A. ^{[1
]}

机构：

[1] New Jersey Inst Technol, Ctr Appl Math & Stat, Dept Math Sci, Newark, NJ 07102 USA

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 2013年 / 78卷 / 04期

关键词：

microwave heating; model non-linear functional boundary value problem;

D O I：

10.1093/imamat/hxt013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A reduced model for the microwave heating of a thin ceramic slab in a multimode TEN03 cavity is introduced and analysed. The model is given by simplification of the microwave power deposition term of a more realistic model when (i) the exact modal structure of the cavity's electric field energy density is replaced by Dirac delta functions that are centred on the energy density maxima, and (ii) the effects of non-linear radiative heat loss are neglected. Steady-state solutions of the reduced model and their linear stability properties are given by exact, closed-form expressions.

引用

页码：652 / 664

页数：13

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