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Approximate microwave heating models for global temperature profile in rectangular medium with TE10 mode

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Abstract

In this paper, the problems of two-dimensional temperature distribution for the microwave heating process are analyzed and discussed. Different from the traditional models in previous literature, the paper proposes several two-dimensional global temperature models which consist of explicit dissipation powers. By analyzing microwave propagation characteristics and spatial distribution of dominant modes into the rectangular medium, the different dissipation powers in different microwave applications are derived, such as the short waveguide, long waveguide and resonant cavity. Then, substituting the proposed dissipation powers into heat transport equation, the simplified temperature models are obtained. For further validation, traditional finite element models in COSMOL® Multiphysics are used to compare the proposed temperature models in the same parameters. The comparative results show that the mathematical models can approximately predict the global temperature variation and hot spot distribution in two-dimensional rectangular medium.

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Acknowledgements

The authors would like to thank the National Basic Research Program of China for financial support (No. 2013CB328903).

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Authors and Affiliations

  1. Key Laboratory of Dependable Service Computing in Cyber Physical Society, Ministry of Education, Chongqing University, Chongqing, 400044, China

    Jiaqi Zhong, Shan Liang & Yupeng Yuan

  2. College of Automation, Chongqing University, Chongqing, 400044, China

    Jiaqi Zhong, Shan Liang & Yupeng Yuan

  3. College of Software Engineering, Chongqing University, Chongqing, 401331, China

    Qinyu Xiong

  4. College of Science, Guizhou Institute of Technology, Guiyang, 550003, Guizhou, China

    Cheng Zeng

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  1. Jiaqi Zhong
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  2. Shan Liang
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  4. Yupeng Yuan
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Correspondence to Shan Liang.

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Zhong, J., Liang, S., Xiong, Q. et al. Approximate microwave heating models for global temperature profile in rectangular medium with TE10 mode. J Therm Anal Calorim 122, 487–495 (2015). https://doi.org/10.1007/s10973-015-4713-y

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  • DOI: https://doi.org/10.1007/s10973-015-4713-y

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