Microwave heating of ceramic laminates

Document Type

Article

Publication Date

1-1-1997

Abstract

The microwave heating of a ceramic laminate composed of three layers is modeled and analyzed. Two materials with widely disparate effective electrical conductivities comprise the laminate. The ratio of these conductivities is exploited as a small parameter in the development of an asymptotic theory. Two physically distinct situations are considered. In the first, a low-loss ceramic is surrounded by lossy material. Here, the asymptotic theory yields simplified equations which are reduced to a nonlinear Volterra integral equation. The integral equation is amenable to analysis, and the results are physically interpreted. In the second situation, a lossy material is surrounded by a low-loss material. In this case the asymptotic theory yields simplified equations which are analyzed through numerical techniques. Again, the results are physically interpreted to attain insight into the dynamics and parameter dependence of the microwave heating of ceramic laminates.

Identifier

0031186325 (Scopus)

Publication Title

Journal of Engineering Mathematics

External Full Text Location

https://doi.org/10.1023/A:1004217817005

ISSN

00220833

First Page

1

Last Page

18

Issue

1

Volume

32

Grant

DE-FG02-94ER25196

Fund Ref

U.S. Department of Energy

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