Identification of time-dependent coefficients of heat transfer by the method of suboptimal stage-by-stage optimization

V.T. Borukhov; O.I. Kostyukova

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Identification of time-dependent coefficients of heat transfer by the method of suboptimal stage-by-stage optimization

机译：次优优化方法识别时间相关的传热系数

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摘要

An inverse heat conduction problem (IHCP) related to the recovery of time-dependent coefficients of heat transfer on the tube surface by the data of temperature measurement at two inner points of the tube is considered. Heat transfer is described by the initial boundary-value problem for 1D nonlinear heat conduction equation. To solve the posed IHCP a modified method of suboptimal stage-by-stage optimization (SSO) that allows one to process the input data in a real time mode is presented. Based on the computational experiment a conclusion is drawn that SSO possesses a regularization property in terms of A.N. Tikhonov.

机译：考虑了通过在管的两个内部点处的温度测量数据来恢复与管表面上随时间变化的传热系数有关的逆导热问题（IHCP）。一维非线性热传导方程的初始边界值问题描述了热传递。为了解决所提出的IHCP，提出了一种次优逐级优化（SSO）的改进方法，该方法可以实时处理输入数据。根据计算实验得出结论，SSO具有A.N.的正则化性质。季霍诺夫。

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来源
《International Journal of Heat and Mass Transfer》 |2013年第4期|286-294|共9页
作者
V.T. Borukhov; O.I. Kostyukova;
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作者单位

Institute of Mathematics, National Academy of Sciences of Belarus, Minsk 220072, Surganov Str. 11, Belarus;

Institute of Mathematics, National Academy of Sciences of Belarus, Minsk 220072, Surganov Str. 11, Belarus;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Nonlinear heat conduction equation; Inverse problem; Stage-by-stage optimization; Heat transfer coefficient; Tikhonov regularization; Numerical simulation;

机译：非线性热传导方程;反问题;逐步优化;传热系数;Tikhonov正则化;数值模拟;

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Identification of time-dependent coefficients of heat transfer by the method of suboptimal stage-by-stage optimization

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