期刊
APPLIED THERMAL ENGINEERING
卷 125, 期 -, 页码 480-488出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.applthermaleng.2017.06.113
关键词
Inverse heat conduction problem; Levenberg-Marquardt algorithm; Conjugate gradient method; Least-squares method; Temperature-dependent thermal conductivity; Thermal protection system
资金
- National Nature Science Foundation of China [51576026]
Metallic materials such as an Inconel and an alloy steel play very important roles for bearing in the reusable metallic thermal protection system (TPS) for a hypersonic aircraft. Accurate determination of temperature-dependent thermal conductivities of these metallic materials is a key issue for both design and optimization of the TPS, which determines transient temperature field and further thermal stress distribution. However, it is very difficult to directly measure these temperature-dependent thermal conductivities with high temperatures, or analytically calculate them. Inverse problems provide new insights for accurately determining temperature-dependent thermal conductivities of these materials with high service temperatures, by using additional 'temperature measurements. In the present work, multi, parameters of temperature-dependent thermal conductivities of an Inconel in a reusable metallic TPS are simultaneously estimated by solving, a transient nonlinear inverse heat conduction problem (IHCP). The Levenberg-Marquardt (LM) algorithm, the conjugate gradient method (CGM) and the Least-squares (IS) method are employed for the solution. The accuracy, the efficiency, the robustness and the convergence stability of these three methods for estimating temperature-dependent thermal conductivities of the Inconel are investigated in detail. A relaxation factor is introduced into a LM algorithm for the first time, attributed to which the convergence stability of the LM algorithm is improved. Finally, the optimal choice of the three methods for simultaneously estimating multi-parameters of temperature dependent thermal conductivities of the Inconel is suggested, that is accurate, robust, convergence stable and the most efficient. (C) 2017 Published by Elsevier Ltd.
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