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Heat Transfer Research
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ISSN Druckformat: 1064-2285
ISSN Online: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2015010459
pages 219-229

A NUMERICAL STRATEGY OF IDENTIFYING THE SHAPE OF A TWO-DIMENSIONAL THERMAL BOUNDARY WITH KNOWN TEMPERATURE

Xunliang Liu
School of Energy and Environmental Engineering, University of Science and Technology Beijing, Beijing 100083, China; Beijing Key Laboratory for Energy Saving and Emission Reduction of Metallurgical Industry, Beijing 100083, China
Lijun Gu
School of Mechanical Engineering, University of Science and Technology Beijing, Beijing, P.R. China
Zhi Wen
School of Energy and Environmental Engineering, University of Science and Technology Beijing, Beijing 100083, China; Beijing Key Laboratory for Energy Saving and Emission Reduction of Metallurgical Industry, Beijing 100083, China

ABSTRAKT

A numerical strategy of combining a conjugate gradient method with a finite volume method is developed to identify the shape of a two-dimensional thermal boundary with known temperature. The finite volume method is utilized to discretize the governing equations and the domain extension method is used to deal with an irregular computational domain. The numerical algorithm is verified with different inverse problems. The results show that the inverse solution is validated for constant thermal conductivity condition. The effects of the magnitude of thermal conductivity, the initial guess shape, and the number of measuring points are investigated to reveal the accuracy of the inversion values. Further, validity of the strategy is discussed for the case with nonconstant thermal conductivities.


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