Microwave heating of ceramic laminates
type: Item
instance of: scholarly article
title: Microwave heating of ceramic laminates
zbMATH Open document ID: 0908.73045
DOI: 10.1023/A:1004217817005
published in: Journal of Engineering Mathematics
publication date: 1999-03-22T00:00:00Z
review text: This paper deals with the thermo-electrical, one-dimensional analysis of a three-thin isotropic ceramic plane laminate irradiated by microwaves from both sides. In the analysis, the incident electromagnetic wave and the electric field within the ceramic laminate are taken to be time-harmonic, while the temperature distribution is time-dependent, and the time required for heat to diffuse an electromagnetic wavelength is much greater than the period of a microwave. The one-dimensional governing equations are expressed in terms of dimensionless variables and parameters for the thermal field and the electric field within the ceramic laminate. Next, the field quantities are represented by the conventional asymptotic expansions in a small parameter, and the system of reduced governing equations is established. The authors investigate the steady-state solutions of the zeroth order governing equations, including their linear stability and global behavior. Two physically distinct cases, a low-loss ceramic surrounded by lossy material and a lossy material surrounded by a low-loss material, are studied in detail.
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 78A40
zbMATH DE Number: 1140341
zbMATH Keywords: one-dimensional analysis
zbMATH Keywords: dimensionless variables
zbMATH Keywords: thermal field
zbMATH Keywords: electric field
zbMATH Keywords: asymptotic expansions
zbMATH Keywords: small parameter
zbMATH Keywords: zeroth order governing equations
zbMATH Keywords: linear stability
zbMATH Keywords: lossy material
zbMATH Keywords: low-loss material
author: John A. Pelesko
author: G. A. Kriegsmann
reviewed by: M. Cengiz Dökmeci
MaRDI profile type: Publication
full work available at URL: a:1004217817005
OpenAlex ID: W1532645664
description: scientific article; zbMATH DE number 1140341