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Microwave heating of ceramic composites

Pelesko, John A. and Kriegsmann, Gregory A. (2000) Microwave heating of ceramic composites. IMA Journal of Applied Mathematics, 64 (1). pp. 39-50. ISSN 0272-4960. https://resolver.caltech.edu/CaltechAUTHORS:PELimajam00

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Abstract

The microwave heating of a ceramic composite is modelled and analysed. The composite consists of many small ceramic particles embedded in a ceramic cement. The composite is assumed to be well insulated, and each particle is assumed to be in imperfect thermal contact with the surrounding cement. Based on these two assumptions an asymptotic theory exploiting the small Blot number and small non-dimensional contact conductance is developed. Our asymptotic theory yields a set of nonlinear partial differential equations which govern the temperature in the composite. These are reduced to a set of coupled nonlinear ordinary differential equations in which the surface area of each particle enters as a parameter. Recent experiments with such composites have shown that the steady-state temperature of the composite is strongly dependent upon the radii of the embedded particles. Our model captures this effect. In fact, our analysis shows that the assumption of imperfect thermal contact between the particles and the ceramic cement is essential for this trend to be established.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1093/imamat/64.1.39DOIUNSPECIFIED
Additional Information:© 2000 by Institute of Mathematics and its Applications. Received 25 February 1998 and in revised form 12 April 1999. This work was sponsored by the Department of Energy under grant DE-FG02-94ER25196, the National Science Foundation under grant DMS-9407196, and the Air Force Office of Scientific Research, Air Force Materiel Command, USAF, under grant F49620-96-1-0039. The authors thank both reviewers for their careful reading of the paper and Professor Oscar Bruno for several useful discussions.
Issue or Number:1
Record Number:CaltechAUTHORS:PELimajam00
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:PELimajam00
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2963
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:09 May 2006
Last Modified:02 Oct 2019 22:58

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