Hostname: page-component-89b8bd64d-j4x9h Total loading time: 0 Render date: 2026-05-05T23:46:36.757Z Has data issue: false hasContentIssue false
  • English
  • Français

On the microwave hotspot problem

Published online by Cambridge University Press:  17 February 2009

C. J. Coleman
C. J. Coleman
Affiliation:
Department of Mathematics, The University of Wollongong, Wollongong, NSW, 1500.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

When an object is heated by microwaves, isolated regions of excessive heating can often occur. The present paper investigates such hotspots by both perturbation and numerical means. For quite normal materials, it is shown that small temperature anomalies can grow to form hotspots. Furthermore, such effects do not need to be associated with thermal runaway.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 33 , Issue 1 , July 1991 , pp. 1 - 8
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Coleman, C. J., “The microwave heating of frozen food substances”, Applied Mathematical Modelling (1990).CrossRefGoogle Scholar
[2]Hill, J. M., “Simple exact solutions applicable to microwave heating”, ZAMP 40 (1989) 872–822.Google Scholar
[3]Hill, J. M. and Smyth, N. F., “On the mathematical analysis of hotspots arising from microwave heating”, Mathematical Engineering in Industry (1990).Google Scholar
[4]Metaxas, A. C. and Meredith, R. J., “Industrial Microwave Heating”, IEE Power Engineering Series, (Peregrinus, London, 1983).Google Scholar
[5]Smyth, N. F., “Microwave heating of bodies with temperature dependent properties”, Wave Motion (1990).CrossRefGoogle Scholar
[6]Von Hippel, A. R., “Dielectric Materials and Applications”, (M.I.T. Press, Cambridge, Massachusetts, 1954).Google Scholar
[7]Worner, H., Private Communication.Google Scholar