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Research Papers: Conduction

# Theoretical Study on Transient Hot-Strip Method by Numerical Analysis

[+] Author and Article Information
Gaosheng Wei

School of Energy and Power Engineering, Key Laboratory of Condition Monitoring and Control for Power Plant Equipment of Ministry of Education, North China Electric Power University, Beijing 102206, Chinagaoshengw@126.com

Xiaoze Du

School of Energy and Power Engineering, Key Laboratory of Condition Monitoring and Control for Power Plant Equipment of Ministry of Education, North China Electric Power University, Beijing 102206, Chinaduxz@ncepu.edu.cn

Xinxin Zhang, Fan Yu

Department of Thermal Engineering, University of Science and Technology Beijing, Beijing 100083, China

J. Heat Transfer 132(9), 091301 (Jun 23, 2010) (7 pages) doi:10.1115/1.4001611 History: Received June 24, 2009; Revised January 07, 2010; Published June 23, 2010; Online June 23, 2010

## Abstract

This paper presented the effects of finite dimensions of the sample and nonzero heat capacity of the strip on thermal conductivity determination with the transient hot-strip method. Through the numerical analysis of the temperature field within the system composed of the samples and the strip, the temperature transients at the strip surface were obtained to calculate the thermal conductivities of materials, which were compared with the exact values. The effect of heat losses out of the external surfaces of the sample and the heat capacity of the strip on thermal conductivity determination were then analyzed comprehensively. It is shown that the sample finite dimensions have a great effect on thermal conductivity determination, especially on the materials with relatively higher thermal diffusivities, and the measured thermal conductivity is always lower than the exact value due to the lower convective heat transfer coefficient out of the external surfaces of the sample. The measurement error is estimated to be less than 2.1% for the material with thermal diffusivity less than $4.0×10−6 m2/s$ with the sample dimensions of $120×60 mm2$$(width×thickness)$ and the fitting time interval of 20–300 s. The nonzero heat capacity of the strip has a great effect on thermal conductivity determinations of the materials with relatively lower thermal diffusivities. The measurement error is estimated to be less than 5% for the material with thermal diffusivity larger than $0.8×10−7 m2/s$ with Cr20Ni80 alloy as the strip.

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## Figures

Figure 1

Schematic show of THS technique

Figure 2

The strip in infinite medium

Figure 3

A quarter of the transverse section for numerical calculation

Figure 4

The mesh distribution in transverse plane

Figure 5

Temperature transients at the surface of the strip with difference sample dimensions

Figure 6

Effect of finite dimensions of the samples on thermal conductivity determination

Figure 7

Temperature transients at the surface of the strip with difference heat capacities of the strip

Figure 8

Effect of the nonzero heat capacity of the strip on thermal conductivity determination

Figure 9

Effect of the strip thickness on thermal conductivity determination with ρ1cp1=3.87×103 kJ/(m3 K)

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