Constrained estimation method of thermal conductivity of a material

ZHOU Yu; QIAN Weiqi; SHAO Yuanpei; YAN Weixu

doi:10.7638/kqdlxxb-2017.0080

English Version Journal Login

您当前的位置：

首页 >

文章列表页 >

Constrained estimation method of thermal conductivity of a material

更新时间：2026-05-28

- Constrained estimation method of thermal conductivity of a material
- Vol. 37, Issue 4, Pages: 563-568(2019)
- 作者机构：
  
  1. 空气动力学国家重点实验室,绵阳,621000
  2. 中国空气动力研究与发展中心计算空气动力研究所,绵阳,621000
  3. 中国运载火箭技术研究院,北京,100076
- 作者简介：
- 基金信息：
- DOI：10.7638/kqdlxxb-2017.0080
  CLC： V211.3
- Published：2019
- 稿件说明：
移动端阅览
周宇, 钱炜祺, 邵元培, 颜维旭. 考虑约束的材料热传导系数辨识方法[J]. 空气动力学学报, 2019, 37(4): 563-568.

ZHOU Yu, QIAN Weiqi, SHAO Yuanpei, et al. Constrained estimation method of thermal conductivity of a material[J]. 2019, 37(4): 563-568.
周宇, 钱炜祺, 邵元培, 颜维旭. 考虑约束的材料热传导系数辨识方法[J]. 空气动力学学报, 2019, 37(4): 563-568. DOI： 10.7638/kqdlxxb-2017.0080.

ZHOU Yu, QIAN Weiqi, SHAO Yuanpei, et al. Constrained estimation method of thermal conductivity of a material[J]. 2019, 37(4): 563-568. DOI： 10.7638/kqdlxxb-2017.0080.

摘要

材料热传导系数的辨识是一类典型的热传导逆问题。本文建立了辨识随温度变化的热传导系数的遗传算法，并通过辨识增量和引入罚函数等方法，考虑了一类典型防热材料热传导系数值随温度增加不减小的物理约束，以及一项工程应用中的约束，即温度较高时温度的仿真计算结果应高于温度实测值，建立起了考虑约束的材料热传导系数辨识方法。通过典型算例的分析计算结果表明，所建立的辨识算法是有效的，克服了原有算法在测量误差较大情况下辨识结果出现非物理振荡的不足，辨识结果也具有更强的工程实用价值。

Abstract

Estimation of the thermal conductivity of a material is a typical inverse heat conduction problem (IHCP). The temperature-dependant thermal conductivity estimation method of genetic algorithms (GA) is presented. A physical practical constraint that the value of thermal conductivity of a typical thermal protection material should not decrease with the temperature increasing

and a engineering practical constraint that the predicted temperature should be greater than the measurement values when the temperature is high

are taken into account in the algorithms. Then

the constrained estimation algorithm of thermal conductivity is developed by two methods

i.e.

the increments estimation method and the penalty function method. After applying these constrained estimation methods to a typical case

it is found that

these estimation methods are feasible and they can overcome the shortcoming of the original unconstrained estimation method that some unphysical oscillations may appear in the estimation result when the measurement noise is significant. The estimated results are of more engineering meanings in practical applications.

关键词

Keywords

references

BECK J V, BLACKWELL B, Jr CLAIR C R S. Inverse heat conduction-ill-posed problems[M]. John WileySons. New York, 1985.

OZISIK M N, ORLANDE H R B. Inverse heat transfer-fundamentals and applications[M]. TaylorFrancis, New York, 2000.

YANG C, ULRICH G. Estimation of thermal properties based on inverse heat conduction method[J]. Journal of Chemical Industry and Engineering, 2005, 56(12):2415-2420. (in Chinese)

WANG D G, LIU Y X, LI S J, et al. Inverse heat conduction problem for identifying thermal conductivity and thermal diffusivity simultaneously[J]. J University of Shanghai for Science and Technology, 2001, 23 (3):233-237. (in Chinese)

XUE Q W, YANG H T, DU X Y. An inverse heat conduction problem with multi-variables in a transient state with a homotopic regularization method[J]. Chinese Journal of Computational Physics, 2006, 23(2):151-157. (in Chinese)

XUE Q W, WEI W, YANG H T. Parameters identification of inverse heat conduction problems in transient state with multi-variables[J]. Chinese Journal of Solid Mechanics, 2009, 30(1):65-69. (in Chinese)

JIANG G Q, MA S Y. The prediction of thermal protection performance for coating material[J]. Acta Aerodynamica Sinica, 2004, 22(1):24-28. (in Chinese)

QIAN W Q, CAI J S. Parameter estimation of heat conduction coefficient and heat flux by sensitivity method[J]. Acta Aerodynamica Sinica, 1998, 16(2):226-231. (in Chinese)

ZHAO X L. The research of effective conductivity in porous media[D]. Liaoning: Dalian University of Technology (in Chinese)

ZHOU H L, XU X S, LI X L, et al. Identification of temperature-dependent thermal conductivity for 2-D transient heat conduction problems[J]. Applied Mathematics and Mechanics, 2014, 35(12):1341-1351. (in Chinese)

TANG Z H, QIAN G H, QIAN W Q. Estimation of temperature-dependent function thermal conductivity for a material[J]. Chinese Journal of Computational Mechanics, 2011, 28(3):377-382. (in Chinese)

ZHOU Y, QIAN W Q, HE K F, et al. Estimating temperature-dependent thermal conductivity and specific heat simultaneously[J]. Chinese Journal of Computational Physics, 2011, 28(5):719-724. (in Chinese)

ISHIHARA, A. Burning surface temperature measured with a thermocouple[C]//39th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, AIAA 2003-5086, 2003.

ZHOU M, SUN S D. Principle and application of genetic algorithms[M]. Beijing:National Defense Industry Press, 1999. (in chinese)

KRAMER O, SCHLACHTER U, SPRECKELS V. An adaptive penalty function with meta-modeling for constrained problems[C]//Proceedings of 2013 IEEE Congress on Evolutionary Computation, June20-23, Cancun, Mexico. pp. 1350-1354, 2013.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Optimization of hot-air anti-icing structures based on neural networks and genetic algorithms

Estimation of surface heat flux for MF-1 flight test

Dynamic ablation morphology measurement of thermal protection materials using structured light vision

Research on the characteristics of water droplets impacting moving superhydrophobic surfaces and its regulation

Research progress on noise reduction of centrifugal fans

Related Author

Chu Ziying

Geng Ji

Yang Qian

Yi Xian

ZHOU Yu

YANG Qingtao

WANG Anling

YUAN Xianxu

Related Institution

School of Information and Software Engineering, University of Electronic and Technology of China, Chengdu

State Key Laboratory of Aerodynamics, Mianyang

Low Speed Aerodynamics Institute of China Aerodynamics Research and Development Center, Mianyang

China Aerodynamics Research and Development Center

AI问答

⁰