Coupling Theory for Temperature-Dependent Thermal Conductivities: Nonlinearity Modulation and Enhancement

2020 ◽  
pp. 135-147
Author(s):  
Ji-Ping Huang
Keyword(s):  
Coupling Theory ◽  
Temperature Dependent ◽  
Thermal Conductivities

Thermally Symmetric Nonlinear Heat Transfer in Solids

1981 ◽  
Vol 103 (4) ◽  
pp. 745-752 ◽  
Author(s):  
M. Imber
Keyword(s):  
Heat Transfer ◽  
Thermal Properties ◽  
Analytical Solutions ◽  
Solution Method ◽  
Equivalent Linearization ◽  
Temperature Dependent ◽  
Numerical Examples ◽  
Nonlinear Heat Transfer ◽  
Composite Wall ◽  
Thermal Conductivities

Material thermal properties are temperature dependent, and this effect cannot be disregarded at elevated design temperatures. Based upon the principle of equivalent linearization, analytical solutions are developed for thermally symmetric planar solids. The solution method is, in turn, extended to a composite wall whose individual thermal conductivities are also temperature dependent. As a demonstration of the method’s accuracy several numerical examples are shown.

Temperature-dependent thermal conductivities of 1D semiconducting nanowires via four-point-probe 3-ω method

2013 ◽  
Vol 24 (49) ◽  
pp. 495202 ◽  
Author(s):  
Seung-Yong Lee ◽  
Mi-Ri Lee ◽  
No-Won Park ◽  
Gil-Sung Kim ◽  
Heon-Jin Choi ◽  
...  
Keyword(s):  
Temperature Dependent ◽  
Semiconducting Nanowires ◽  
Thermal Conductivities

A Modified Conjugate Gradient Method for Transient Nonlinear Inverse Heat Conduction Problems: A Case Study for Identifying Temperature-Dependent Thermal Conductivities

2014 ◽  
Vol 136 (9) ◽  
Author(s):  
Miao Cui ◽  
Qianghua Zhu ◽  
Xiaowei Gao
Keyword(s):  
Heat Conduction ◽  
Conjugate Gradient ◽  
Gradient Methods ◽  
Adjoint Problem ◽  
Inverse Heat Conduction ◽  
Temperature Dependent ◽  
Sensitivity Problem ◽  
Inverse Heat Conduction Problems ◽  
Thermal Conductivities

Despite numerous studies of conjugate gradient methods (CGMs), the “sensitivity problem” and the “adjoint problem” are inevitable for nonlinear inverse heat conduction problems (IHCPs), which are accompanied by some assumptions and complicated differentiating processes. In this paper, a modified CGM (MCGM) is presented for the solution of a specified transient nonlinear IHCP, to recover temperature-dependent thermal conductivities for a case study. By introducing the complex-variable-differentiation method (CVDM) for sensitivity analysis, the sensitivity problem and the adjoint problem are circumvented. Five test examples are given to validate and assess the performance of the MCGM.

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