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Numerical Models for the Sintering of Ceramics in a Multi-Mode Cavity

Published online by Cambridge University Press:  15 February 2011

David C. Dibben ,
Wai B. Fu  and
Ricky A.C. Met Axas
David C. Dibben
Affiliation:
Electricity Utilisation Group, Engineering Department, Trumpington Street, Cambridge University, Cambridge, England, UK
Wai B. Fu
Affiliation:
Electricity Utilisation Group, Engineering Department, Trumpington Street, Cambridge University, Cambridge, England, UK
Ricky A.C. Met Axas
Affiliation:
Electricity Utilisation Group, Engineering Department, Trumpington Street, Cambridge University, Cambridge, England, UK
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Abstract

We present two distinct approaches to the numerical determination of electromagnetic field intensities which must be known before the sintering of ceramics can be modelled in a multi-mode microwave cavity. In the first, a Finite Element Method, we employ edge elements to discretise Maxwell's Equations and apply the conjugate gradient algorithm to solve the resulting system of linear algebraic equations at each time step. The second, which is based on the Method of Lines, is a variant of the Finite Difference Time Domain technique and is used to transform Maxwell's Equations into a set of time-dependent ordinary differential equations. These methods are compared with the help of three examples: a small tray of mashed potatoes placed inside a cavity, a standard waveguide partially filled with a ceramic, and a cavity inhomogeneously loaded with the same material. The good agreements which we have found give us confidence in the soundness of either approach for use in numerical simulation work.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 347: Symposium O – Microwave Processing of Materials IV , 1994 , 305
Copyright
Copyright © Materials Research Society 1994

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References

REFERENCES

1. Jia, X. and Jolly, P., Journal of Microwave Power and Electromagnetic Energy 27 (1), 11–22 (1992).Google Scholar
2. Smith, R.L., Iskander, M.F., Andrade, O.M. and Kimrey, H., Proceedings, Microwave Processing of Materials III, Materials Research Society, 269, 47–53 (1992).Google Scholar
3. Iskander, M.F., Proceedings, Microwaves: Theory and Application in Materials Processing II, 95th Annual Meeting of the American Ceramic Society, Cincinnati, OH, 167–187(1993).Google Scholar
4. Sultan, F. et al., IEEE Trans. M.T.T. 33 (2), 163–168 (1985).Google Scholar
5. Akhtarzad, S. and Johns, P.B., Proc. IEE, 122, 1349 (1975).Google Scholar
6. Ferrari, R.L. and Maile, G.L., Elect. Lett. 14 (15), 467–468 (1978).Google Scholar
7. De Pourcq, M., IEE Proc, Part J, 130 (6), 377–384 (1983).Google Scholar
8. Fu, W.B. and Metaxas, A.C., Proceedings of the International Conference on Microwaves and High Frequency, Goteborg, Sweden, 28–30 September (1993).Google Scholar
9. Pregia, R. and Kremer, D., IEEE Microwave and Guided Wave Letters 2 (6), 239–241 (1992).Google Scholar
10. Nam, S., Ling, H. and Itoh, T., IEEE Trans. M.T.T. 37 (12), 2051–2057 (1989).Google Scholar
11. Fu, W.B., and Metaxas, A.C., Proceedings of the Second International Workshop on Discrete Time Domain Modelling of Electromagnetic Fields and Networks, Berlin, Germany, 28–29 October (1993).Google Scholar