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Inverse estimation of surface heating condition in a three-dimensional object using conjugate gradient method

机译：共轭梯度法反演三维物体表面加热条件

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摘要

Temperature and heat flux on inaccessible surfaces can be estimated by solving an inverse heat conduction problem (IHCP) based on the measured temperature and/or heat flux on accessible surfaces. In this study, the heat flux and temperature on the front (heated) surface of a three-dimensional (3D) object is recovered using the conjugate gradient method (CGM) with temperature and heat flux measured on back surface (opposite to the heated surface). The thermal properties of the 3D object are considered to be temperature-dependent. The simulated measurement data, i.e., the temperature and heat flux on the back surface, are obtained by numerically solving a direct problem where the front surface of the object is subjected to high intensity periodic laser heat flux with a Gaussian profile. The robustness of the formulated 3D IHCP algorithm is tested for two materials. The effects of the uncertainties in thermophysicalrnproperties on the inverse solutions are also examined. Efforts are made to reduce the total number of heat flux sensors on the back surface required to recover the front-surface heating condition.
机译：不可接触表面上的温度和热通量可以通过基于可测表面上测得的温度和/或热通量解决逆导热问题（IHCP）来估算。在这项研究中，使用共轭梯度法（CGM）恢复三维（3D）对象正面（加热）表面上的热通量和温度，并在背面（与加热表面相对）测量温度和热通量）。 3D对象的热属性被认为与温度有关。模拟的测量数据，即背面的温度和热通量，是通过数值求解直接问题而获得的，在该问题上，对象的前表面受到具有高斯分布的高强度周期性激光热通量的影响。对两种材料测试了所制定的3D IHCP算法的鲁棒性。还检查了热物理性质不确定性对逆解的影响。尽力减少恢复前表面加热条件所需的后表面热通量传感器的总数。

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  • 来源
    《International Journal of Heat and Mass Transfer》 |2010年第14期|2643-2654|共12页
  • 作者

    Jianhua Zhou; Yuwen Zhang; J.K. Chen; Z.C. Feng;

  • 作者单位

    Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, MO 65211, USA;

    Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, MO 65211, USA;

    Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, MO 65211, USA;

    Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, MO 65211, USA;

  • 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; laser; gaussian profile; conjugate gradient method;

    机译：逆导热激光;高斯剖面共轭梯度法;

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