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Volume 26 Issue 2
Sep.  2013
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Citation:
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Transient criterion of non-Fourier heat conduction law

  • 1.

    Key Laboratory for High Temperature Materials & Testing of Ministry of Education, Shanghai Jiaotong University, Shanghai, 200030;

  • 2.

    Troyes University, Troyes Cedex, 10010

  • Received Date: 2000-11-20
    Accepted Date: 2001-01-26
  • The mathematical model of general Fourier heat conduction law is discussed in the paper.Based on the hyperbolic heat conduction equation of non Fourier heat conduction law,an analytical solution of a semi infinite body has been derived under the first boundary condition.With the temperature distribution analyzed,the transient criterion and the applicable scope of non Fourier heat conduction law has been proposed,which is important for the study on special area of transient heat conduction problem in engineering,such as laser process and electron beams process.
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    Kumar K T,Raju R N.J Thermophysics,1991,5(2): 232～239.
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    Morse P M,Feshbach H. Method of Theoretical Physics. New York: McGraw-Hill,1953.
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    Shih T M. Numerical Heat Transfer,1985,8(1): 1～24.
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    Eckert E R G,Goldstein R J,Ibele W E et al.J Heat Mass Transfer,1994,37 (9):1285～1375.
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    Tzou T Y.Transaction of the ASME,1989,111(2): 232～238.
    [9] 张浙,刘登瀛.工程热物理学报,1998,19(5):601～605.
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Transient criterion of non-Fourier heat conduction law

  • 1. Key Laboratory for High Temperature Materials & Testing of Ministry of Education, Shanghai Jiaotong University, Shanghai, 200030;
  • 2. Troyes University, Troyes Cedex, 10010
  • Received Date: 2000-11-20
  • Accepted Date: 2001-01-26
  • Available Online: 2002-03-25

Abstract: The mathematical model of general Fourier heat conduction law is discussed in the paper.Based on the hyperbolic heat conduction equation of non Fourier heat conduction law,an analytical solution of a semi infinite body has been derived under the first boundary condition.With the temperature distribution analyzed,the transient criterion and the applicable scope of non Fourier heat conduction law has been proposed,which is important for the study on special area of transient heat conduction problem in engineering,such as laser process and electron beams process.

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