# MICROWAVE-HEATING OF MATERIALS WITH POWER-LAW TEMPERATURE DEPENDENCIES

@article{PlNCOMBE1994MICROWAVEHEATINGOM, title={MICROWAVE-HEATING OF MATERIALS WITH POWER-LAW TEMPERATURE DEPENDENCIES}, author={A. H. PlNCOMBE and Noel Frederick Smyth}, journal={Ima Journal of Applied Mathematics}, year={1994}, volume={52}, pages={141-176} }

The time-dependent microwave heating of a semi-infinite material, which is governed by a coupled system of Maxwell's equations and the forced heat equation, is considered. The dielectric properties of the material are assumed to be temperature-d ependent, with this dependence being of a power law form. Asymptotic solutions of the governing equations are found in the high-frequency geometric-optics limit. These solutions are compared with numerical solutions of the governing equations, and good…

## 7 Citations

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The use of microwaves for the rapid heating of materials has found widespread industrial use. However, a number of potential problems are inherent in this rapid heating, including the hotspot…

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We obtain the approximate solutions for the steady temperature profiles of materials with a temperature-dependent thermal absorptivity inside a microannulus with wavy-rough surfaces considering a…

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We obtain the approximate solutions for the steady temperature profiles of materials with a temperature-dependent thermal absorptivity inside a microannulus with wavy-rough surfaces considering a…

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Abstract. Microwave electromagnetic heating are widely used in many industrial processes. The mathematics involved is based on the Maxwell’s equations coupled with the heat equation. The thermal…

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