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Transient Temperature Distributions in a Cylinder Heated by Microwaves

Published online by Cambridge University Press:  10 February 2011

H. W. Jackson
Affiliation:
Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109
M. Barmatz
Affiliation:
Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109
P. Wagner
Affiliation:
Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109
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Abstract

Transient temperature distributions were calculated for a lossy dielectric cylinder coaxially aligned in a cylindrical microwave cavity excited in a single mode. Results were obtained for sample sizes that range from fibers to large cylinders. Realistic values for temperature dependent complex dielectric constants and thermophysical properties of the samples were used. Losses in cavity walls were taken into account as were realistic thermal emissivities at all surfaces. For a fine mesh of points in time, normal mode properties and microwave power absorption profiles were evaluated using analytic expressions. Those expressions correspond to exact solutions of Maxwell's equations within the framework of a cylindrical shell model. Heating produced by the microwave absorption was included in self-consistent numerical solutions of thermal equations. In this model, both direct microwave heating and radiant heating of the sample (hybrid heating) were studied by including a lossy dielectric tube surrounding the sample. Calculated results are discussed within the context of two parametric studies. One is concerned with relative merits of microwave and hybrid heating of fibers, rods, and larger cylinders. The other is concerned with thermal runaway.

Type
Research Article
Copyright
Copyright © Materials Research Society 1996

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References

1. Jackson, H. W., Barmatz, M., and Wagner, P., MRS Symp. Proc., 347, pp. 317323 (1994).Google Scholar
2. Jackson, H. W., Barmatz, M., and Wagner, P., Ceramic Transactions, 59, pp. 279287 (1995).Google Scholar
3. Jackson, H. W. and Barmatz, M., J. Appl. Phys. 70, pp. 51935204 (1991).Google Scholar
4. Barmatz, M. and Jackson, H. W., MRS Symp. Proc., 269, pp. 97103 (1992).Google Scholar
5. Jackson, H. W., Barmatz, M. and Wagner, P., Ceramic Transactions, 36, pp. 189199 (1993).Google Scholar
6. Touloukian, Y. S., Thermophysical Properties of Matter, (IFI/Plenum, New York Washington), 8, p. 98 (1972).Google Scholar
7. Holman, J. P., Heat Transfer, (McGraw-Hill, New York), p. 193 (1972).Google Scholar
8. Sphicopoules, T., Bernier, L.-G., and Gardiol, F., lEE Proceedings, 131, Pt. H, No.2, p. 94 (1984).Google Scholar
9. Fukushima, H., Yamanaka, T. and Matsui, M., J. of Japan Soc. of Prec. Eng. 53, pp. 743748 (1987).Google Scholar