| Finite Difference Approach for Estimating the Thermal Conductivity by 6-point Crank-Nicolson Scheme |
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| 作者姓名： | 苏亚欣 杨翔翔 |
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| 作者单位： | [1]School of Environmental Science and Engineering, Donghua University, Shanghai 200051 [2]Huaqiao University, Quanzhou 362011 |
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| 基金项目： | Supported by the Project of 0utstanding Young University Teachers of Shanghai, No. 03YQHB076. |
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| 摘 要： | Introduction Inengineeringthermo physicsandpowerengineering fields,thethermalphysicalparametersareverycriticalfor calculationanddesign.Thephysicalparametersofmaterial areusuallydeterminedbyexperiments.Alongwiththe academicachievementsofrelatedfields,thestudyon materialthermalparametershasfocusedontheoretical methodsinadditiontotheexperimentalmeasurement.Fromthepointofviewofheattransfer,it srelatedtothe InverseHeatConductionProblem(IHCP)andhasbeena topicwhichattractedwideresearchinterests.M…
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| 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 |
| 收稿时间： | 2003-05-09 |
Finite Difference Approach for Estimating the Thermal Conductivity by 6-point Crank-Nicolson Scheme |
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| SU Ya-xin,YANG Xiang-xiang.Finite Difference Approach for Estimating the Thermal Conductivity by 6-point Crank-Nicolson Scheme[J].Journal of Donghua University,2005,22(2):45-49. |
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| Authors: | SU Ya-xin YANG Xiang-xiang |
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| Abstract: | 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. |
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| Keywords: | inverse heat conduction thermal conductivity 6-point finite diff erence scheme |
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