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An Accelerated Two-Dimensional Unsteady Heat Conduction Calculation Procedure for Thermal-Conductivity Measurement by the Transient Short-Hot-Wire Method

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Abstract

A fast and accurate procedure is proposed for solution of the two-dimensional unsteady heat conduction equation used in the transient short-hot-wire method for measuring thermal conductivity. Finite Fourier transforms are applied analytically in the wire-axis direction to produce a set of one-dimensional ordinary differential equations. After discretization by the finite-volume method in the radial direction, each one-dimensional algebraic equation is solved directly using the tri-diagonal matrix algorithm prior to application of the inverse Fourier transform. The numerical procedure is shown to be very accurate through comparison with an analytical solution, and it is found to be an order of magnitude faster than the usual numerical solution.

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References

  1. Nagasaka Y., Nagashima A.: Rev. Sci. Instrum. 52, 229 (1981)

    Article  ADS  Google Scholar 

  2. Healy J.J., de Groot J.J., Kestin J.: Physica 82C, 392 (1976)

    Google Scholar 

  3. Fujii M., Zhang X., Imaishi N., Fujiwara S., Sakamoto T.: Int. J. Thermophys. 18, 327 (1997)

    Article  Google Scholar 

  4. Woodfield P.L., Fukai J., Fujii M., Takata Y., Shinzato K.: Int. J. Thermophys. 29, 1299 (2008)

    Article  Google Scholar 

  5. Woodfield P.L., Fukai J., Fujii M., Takata Y., Shinzato K.: Int. J. Thermophys. 29, 1278 (2008)

    Article  Google Scholar 

  6. Kierkus W.T., Mani N., Venart J.E.S.: Can. J. Phys. 51, 1182 (1973)

    ADS  Google Scholar 

  7. Patankar S.V.: Numerical Heat Transfer and Fluid Flow. Hemisphere, New York (1980)

    MATH  Google Scholar 

  8. Zhang X., Fujii M.: Int. J. Thermophys. 21, 71 (2000)

    Article  Google Scholar 

  9. E.W. Lemmon, M.L. Huber, M.O. McLinden, NIST Standard Reference Database 23: Reference Fluid Thermodynamic and Transport Properties-REFPROP, Version 8.0 (National Institute of Standards and Technology, Standard Reference Data Program, Gaithersburg, MD, 2007), (www.nist.gov/srd/nist23.htm)

  10. Zhang X., Hendro W., Fujii M., Tomimura T., Imaishi N.: Int. J. Thermophys. 23, 1077 (2002)

    Article  Google Scholar 

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Authors and Affiliations

  1. Research Center for Hydrogen Industrial Use and Storage, National Institute of Advanced Industrial Science and Technology, 744 Motooka, Nishi-ku, Fukuoka, 819-0395, Japan

    P. L. Woodfield & M. Fujii

  2. Department of Chemical Engineering, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka, 819-0395, Japan

    J. Fukai

  3. Department of Mechanical Engineering, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka, 819-0395, Japan

    Y. Takata

Authors
  1. P. L. Woodfield
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  2. J. Fukai
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  3. M. Fujii
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  4. Y. Takata
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Corresponding author

Correspondence to P. L. Woodfield.

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Woodfield, P.L., Fukai, J., Fujii, M. et al. An Accelerated Two-Dimensional Unsteady Heat Conduction Calculation Procedure for Thermal-Conductivity Measurement by the Transient Short-Hot-Wire Method. Int J Thermophys 30, 796–809 (2009). https://doi.org/10.1007/s10765-009-0583-5

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  • DOI: https://doi.org/10.1007/s10765-009-0583-5

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