The explicit finite difference formulation of an inverse heat transfer model to calculate the heat flux generated by induction is developed. The experimentally measured temperature data are used as the input for the inverse heat transfer model. This model is particularly suitable for a workpiece with low cross section Biot number. Induction heating experiments are carried out using a carbon steel rod. The finite difference method and thermocouple temperature measurements are applied to estimate the induction heat flux and workpiece temperature. Compared to measured temperatures, the accuracy and limitation of proposed method is demonstrated. The effect of nonuniform temperature distribution, particularly in the heating region during the induction heating, is studied. Analysis results validate the assumption to use the uniform temperature in a cross section for the inverse heat transfer solution of induction heat flux. Sensitivity to the grid spacing, thermocouple location, and thermophysical properties are also studied.
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August 2005
Technical Papers
Inverse Heat Transfer Solution of the Heat Flux Due to Induction Heating
Jie Luo,
Jie Luo
Graduate Research Assistant
Department of Mechanical Engineering,
University of Michigan
, Ann Arbor, MI 48109-2125
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Albert J. Shih
Albert J. Shih
Associate Professor
Department of Mechanical Engineering,
e-mail: shiha@umich.edu
University of Michigan
, Ann Arbor, MI 48109-2125
Search for other works by this author on:
Jie Luo
Graduate Research Assistant
Department of Mechanical Engineering,
University of Michigan
, Ann Arbor, MI 48109-2125
Albert J. Shih
Associate Professor
Department of Mechanical Engineering,
University of Michigan
, Ann Arbor, MI 48109-2125e-mail: shiha@umich.edu
J. Manuf. Sci. Eng. Aug 2005, 127(3): 555-563 (9 pages)
Published Online: July 7, 2004
Article history
Received:
July 24, 2003
Revised:
July 7, 2004
Citation
Luo, J., and Shih, A. J. (July 7, 2004). "Inverse Heat Transfer Solution of the Heat Flux Due to Induction Heating." ASME. J. Manuf. Sci. Eng. August 2005; 127(3): 555–563. https://doi.org/10.1115/1.1949617
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