INVERSE DETERMINATION OF SPATIALLY VARYING HEAT CAPACITY AND THERMAL CONDUCTIVITY IN ARBITRARY 2D OBJECTS
INVERSE DETERMINATION OF SPATIALLY VARYING HEAT CAPACITY AND THERMAL CONDUCTIVITY IN ARBITRARY 2D OBJECTS
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DOI：
10.1615/ichmt.2017.cht-7.1100
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
S. Reddy;G. Dulikravich;S. Zeidi
中科院分区：
文献类型：
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作者：
S. Reddy;G. Dulikravich;S. Zeidi
发展了一种非破坏性同时估计二维固体中空间变化的导热系数和热容的方法，该方法只需要测量温度的边界。通过最小化边界温度实测值和计算值之间的最小二乘差的归一化和来确定空间分布。通过利用由解析响应面创建的元模型来显著减少整个逆参数识别过程的计算时间，所述解析响应面由通过高保真有限元分析获得的可承受数量的温度场的数值解来支持。采用粒子群算法和BFGS算法相结合的方法进行最小化。实验结果表明，该方法能够准确地预测任意形状的多连通二维物体的导热系数和热容的线性和非线性空间分布，从而证明了该方法的鲁棒性和准确性。目前这种方法的缺点是，它需要物理性质的一般空间解析变化的先验知识。这可以通过使用无穷级数的乘积(如傅立叶或切比雪夫)来表示这种变化并确定其系数的正确值来纠正。
A methodology for non-destructive simultaneous estimation of spatially varying thermal conductivity and heat capacity in 2D solid objects was developed that requires only boundary measurements of temperatures. The spatial distributions were determined by minimizing the normalized sum of the least-squares differences between measured and calculated values of the boundary temperatures. Computing time was significantly reduced for the entire inverse parameter identification process by utilizing a metamodel created by an analytical response surface supported by an affordable number of numerical solutions of the temperature fields obtained by the high fidelity finite element analyses. The minimization was performed using a combination of particle swarm optimization and the BFGS algorithm. The methodology has shown to accurately predict linear and nonlinear spatial distributions of thermal conductivity and heat capacity in arbitrarily shaped multiply-connected 2D objects even in situations with noisy measurement data thus proving that it is robust and accurate. The current drawback of this method is that it requires an a priori knowledge of the general spatial analytic variation of the physical properties. This can be remedied by representing such variations using products of infinite series such as Fourier or Chebyshev and determining correct values of their coefficients.