Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-25T15:40:06.994Z Has data issue: false hasContentIssue false

Steady State Temperature Profile in a Sphere Heated by Microwaves

Published online by Cambridge University Press:  25 February 2011

M. Barmatz
Affiliation:
Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109
H.W. Jackson
Affiliation:
Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109
Get access

Abstract

A new theory has been developed to calculate the microwave absorption and resultant temperature profile within a sphere positioned in a single mode rectangular cavity. This theory is an extension of a total absorption model based on Mie scattering results. Temperature profiles have been computed for alumina spheres at the center of a rectangular cavity excited in the TM354 mode. Parametric studies reveal significant structure in those profiles under special conditions that are associated with electromagnetic resonances inside the spheres. Anomalous behavior similar to thermal runaway occurs at moderate temperatures when there is enhanced absorption associated with resonant conditions in the sphere.

Type
Research Article
Copyright
Copyright © Materials Research Society 1992

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Jackson, H. W. and Barmatz, M., J. Appl. Phys. 70, 5193 (1991).Google Scholar
2. Mie, G., Ann. Phys. 25, 377 (1908).Google Scholar
3. Jackson, H. W. and Barmatz, M. (unpublished).Google Scholar
4. Fukushima, H., Yamanaka, T. and Matsui, M., J. of Japan Soc. of Prec. Eng. 53, 743 (1987).Google Scholar
5. Touloukian, Y. S., Thermophysical Properties of Matter, (IFI/Plenum, New York, Washington, 1972), Vol. 8, p. 98.Google Scholar
6. Binner, J., Advanced Ceramics Report, (Elsevier Science Publishers Ltd., February, 1992), p. 8.Google Scholar
7. Pangrle, B. J., Ayappa, K. G., Davis, H.T., Davis, E. A., and Gordon, J., AlChE J. 37, 1799 (1991).Google Scholar
8. Tian, Y. L., Microwaves: Theory and Application in Materials Processing Edited by Clark, D. E., Gac, F. D., and Sutton, W. H., (Ceramic Transactions 21, 1991), p. 283.Google Scholar
9. Tian, Y. L., Dewan, H. S., Brodwin, M. E., and Johnson, D. L., Sintering Of Advanced Ceramics, Advances in Ceramics, (Am. Ceram. Soc., 1988), p. 391.Google Scholar
10. Jackson, H. W., Barmatz, M. and Wagner, P. (unpublished).Google Scholar