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Finite Difference Approach for Estimating the Thermal Conductivity by 6-point Crank-Nicolson Scheme

Finite Difference Approach for Estimating the Thermal Conductivity by 6-point Crank-Nicolson Scheme
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摘要 Based on inverse heat conduction theory, a theoretical model using 6-point Crank-Nicolson finite difference scheme was used to calculate the thermal conductivity from temperature distribution, which can be measured experimentally. The method is a direct approach of second-order and the key advantage of the present method is that it is not required a priori knowledge of the functional form of the unknown thermal conductivity in the calculation and the thermal parameters are estimated only according to the known temperature distribution. Two cases were numerically calculated and the influence of experimental deviation on the precision of this method was discussed. The comparison of numerical and analytical results showed good agreement. Based on inverse heat conduction theory, a theoretical model using 6-point Crank-Nicolson finite difference scheme was used to calculate the thermal conductivity from temperature distribution, which can be measured experimentally. The method is a direct approach of second-order and the key advantage of the present method is that it is not required a priori knowledge of the functional form of the unknown thermal conductivity in the calculation and the thermal parameters are estimated only according to the known temperature distribution. Two cases were numerically calculated and the influence of experimental deviation on the precision of this method was discussed. The comparison of numerical and analytical results showed good agreement.
出处 《Journal of Donghua University(English Edition)》 EI CAS 2005年第2期45-49,共5页 东华大学学报(英文版)
基金 SupportedbytheProjectofOutstandingYoungUniversityTeachersofShanghai,No.03YQHB076.
关键词 可逆热传导 导热率 有限差分法 克兰克-尼科尔森格式 inverse heat conduction thermal conductivity 6-point finite difference scheme
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参考文献3

  • 1Huang,C.H.and zisik,M.N. Numerical Heat Transfer . 1991
  • 2Flach,G.P.and zisik,M.N. Numer.HeatTransfer . 1989
  • 3Huang,C.H.and zisik,M.N. Int.J.HeatandFluid Flow . 1990

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