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Analytical modeling and sensitivity analysis of the temperature distribution in the planar scanning induction heating based on 2D moving heat source

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Abstract

This paper presents an analytical modeling method of the temperature evolution in the planar scanning induction heating, which can be applied into various heat treatment processes. Due to the uneven distribution and hard control of the electromagnetic fields in the planar induction coils, it is difficult to achieve the precisely prediction and control of the temperature evolution. In view of the low computational efficiency and the complexity in the establishment of the general finite element numerical simulation models, in this work, analytical models of this planar scanning induction heating enhanced by the magnetic flux concentrator are established by using the moving points and line heat source. The magnetic field and the eddy power density in the workpiece generated by the induction coils are calculated by Maxwell equations and then can be applied into the analytical model of the temperature evolution using the moving points and line heat source. Several sets of the corresponding finite element simulation tests and experimental tests are conducted to validate the analytical calculation results. In addition, sensitivity analysis of the main factors influencing the temperature evolution is conducted. By comparison, it is investigated that the final temperature in the surface of the heat workpiece by the analytical model in this work has a good match with the finite element simulation and the experimental results and the errors are reasonable and acceptable considering the inevitable factors. It is also obviously that the computing time of the analytical model is much less than the finite element simulation model. Thus, it is believed that the analytical model established in this paper can be used to predict the temperature evolution in the planar scanning induction heating and extends this heating method to a broader application, which has less computational time and experimental complexity.

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Abbreviations

MFC :

Magnetic flux concentrator

P L :

Thermal power

T :

Temperature or Celsius temperature scale

T P :

Temperature calculated by the point model

T L :

Temperature calculated by the line model

T FEA :

Temperature calculated by FEA model

T EXP :

Temperature measured by experimental methods

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Acknowledgments

This work is supported by the National Science Foundation of China (U1430116), the Foundation of China’s National Scholarship Council (201806935026), Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (2019), Shanxi Provincial Science and Technology Major Project of China (20181101008) and Natural Science Foundation of Shanxi Province (201701D121078), China.

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Authors and Affiliations

  1. College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan, 030024, China

    Feng Li & Tao Wang

  2. George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, 801 Ferst Drive, Atlanta, GA, 30332-0405, USA

    Feng Li, Jinqiang Ning & Steven Y. Liang

Authors
  1. Feng Li
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  2. Jinqiang Ning
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  3. Tao Wang
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  4. Steven Y. Liang
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Corresponding author

Correspondence to Feng Li.

Additional information

Recommended by Associate Editor Seong Hyuk Lee

Feng Li is an Assistant Professor with Mechanical Engineering in Taiyuan University of Technology, Taiyuan, China. He received his Ph.D. from Tsinghua University, China. His main research interests include mechanism of grinding and induction heating.

Jinqiang Ning is a Ph.D. in George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, USA. His research focuses on analytical modeling of precision machining and metal additive manufacturing.

Tao Wang is an Associate Professor with Mechanical Engineering in Taiyuan University of Technology, Taiyuan, China. He received his Ph.D. from Yanshan University, China. His research mainly focuses on the composite forming, rolling process and equipment.

Steven Y Liang is a Professor in the George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, USA. He received his Ph.D. from University of California, Berkeley. His research interest is modeling, monitoring, and control of advanced manufacturing processes and equipment.

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Li, F., Ning, J., Wang, T. et al. Analytical modeling and sensitivity analysis of the temperature distribution in the planar scanning induction heating based on 2D moving heat source. J Mech Sci Technol 33, 5093–5102 (2019). https://doi.org/10.1007/s12206-019-0948-z

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  • DOI: https://doi.org/10.1007/s12206-019-0948-z

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