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An inverse method for the estimation of a long-duration surface heat flux on a finite solid

机译：一种估计有限固体上长时间表面热通量的逆方法

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摘要

The nonlinear inverse heat conduction problem (IHCP) is resolved for the estimation of surface heat flux from two temperature measurements inside a finite domain. An improvement is achieved in this study by optimizing the rescaled time used to linearize the heat conduction equation with temperature-dependent thermal properties. A closed-form solution of the transient temperature is derived, considering the inho-mogeneous boundary conditions. The direct solution is further incorporated into a sequential technique for inverse analysis, and the uncertainty of inverse solution with respect to input parameters is obtained. The results from a representative example show that the method is computationally efficient and the inverse solution can be stabilized by increasing the rescaled time step size. Thus, the effect of the real time step on the ill-posedness can be reduced and the increase of sampling rate in experiment is possible. The present method is useful for the prediction of long-duration heat flux in thermal engineering.
机译：解决了非线性逆热传导问题（IHCP），用于根据有限域内的两次温度测量估算表面热通量。通过优化重新定标的时间来改善这项研究，该重新定标的时间用于线性化具有温度相关热特性的热传导方程。考虑到非均匀边界条件，得出了瞬态温度的封闭形式解。将直接解进一步合并到用于反分析的顺序技术中，并且获得了反解相对于输入参数的不确定性。代表性示例的结果表明，该方法具有较高的计算效率，并且可以通过增加重新缩放的时间步长来使逆解稳定。因此，可以减小实时步长对不适姿势的影响，并且可以增加实验中的采样率。该方法可用于热工学中长期热通量的预测。

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  • 来源
    《International Journal of Heat and Mass Transfer》 |2017年第3期|1087-1096|共10页
  • 作者

    Lijun Zhuo; Fajun Yi; Songhe Meng;

  • 作者单位

    Center for Composite Materials and Structure, School of Astronautics, Harbin Institute of Technology, Harbin 150080, China;

    Center for Composite Materials and Structure, School of Astronautics, Harbin Institute of Technology, Harbin 150080, China;

    Center for Composite Materials and Structure, School of Astronautics, Harbin Institute of Technology, Harbin 150080, China;

  • 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

    Inverse heat conduction problem; Long-duration; Nonlinear; Rescaled time;

    机译：反导热问题;持续时间长;非线性重新调整时间;

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