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International Heat Transfer Conference 16

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

Numerical investigation of thermal diffusivity prediction based on analytical solution of transient heat conduction

Ruifeng Dou
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

Cheng Zhu
School of Energy and Environmental Engineering, University of Science and Technology Beijing, Beijing 100083, China

Rongzhao Zhang
School of Energy and Environmental Engineering, University of Science and Technology Beijing, Beijing 100083, China

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

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

DOI: 10.1615/IHTC16.cip.022691
pages 2553-2559


KEY WORDS: Conduction, Thermophysical properties, thermal diffusivity coefficient, transient heat conduction, analytical solution, variable thermal conductivity, heat transfer coefficient.

Abstract

In this study, the analytical solution of one-dimensional transient heat conduction along the radius direction in an infinitely long cylinder is reformulated to predict thermal diffusivity. Burggraf (JHT, 1964) presented an equation that depicts the relation among the temperature at radius r (r ≠ 0), the temperature at the center, and thermal diffusivity. On the basis of this equation, the temperature at the center (r = 0) and R/2 of the cylinder are used as the input data to obtain a nonlinear function of thermal diffusivity. The solution of this function provides the thermal diffusivity under different temperatures. Simulation results show that for a specified cylinder radius, optimal heat transfer conditions exist for obtaining accurate thermal diffusivity results. This study indicates that the temperature-dependent thermal diffusivity may be estimated in one experiment, and the heat transfer coefficient outside the cylinder can be calculated simultaneously. On the basis of this model, a thermal diffusivity measuring method can be developed.

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