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强迫对流管道内壁结垢层几何形状的逆运算估计

陳文立 楊俞青 李浩榕 J·L·萨拉萨尔

陳文立, 楊俞青, 李浩榕, J·L·萨拉萨尔. 强迫对流管道内壁结垢层几何形状的逆运算估计[J]. 应用数学和力学, 2011, 32(1): 53-65. doi: 10.3879/j.issn.1000-0887.2011.01.006
引用本文: 陳文立, 楊俞青, 李浩榕, J·L·萨拉萨尔. 强迫对流管道内壁结垢层几何形状的逆运算估计[J]. 应用数学和力学, 2011, 32(1): 53-65. doi: 10.3879/j.issn.1000-0887.2011.01.006
CHEN Wen-lih, YANG Yu-ching, LEE Haw-long, Jose Leon Salazar. Inverse Estimation for the Unknown Fouling Geometry on the Inner Wall of a Forced-Convection Pipe[J]. Applied Mathematics and Mechanics, 2011, 32(1): 53-65. doi: 10.3879/j.issn.1000-0887.2011.01.006
Citation: CHEN Wen-lih, YANG Yu-ching, LEE Haw-long, Jose Leon Salazar. Inverse Estimation for the Unknown Fouling Geometry on the Inner Wall of a Forced-Convection Pipe[J]. Applied Mathematics and Mechanics, 2011, 32(1): 53-65. doi: 10.3879/j.issn.1000-0887.2011.01.006

强迫对流管道内壁结垢层几何形状的逆运算估计

doi: 10.3879/j.issn.1000-0887.2011.01.006
基金项目: 中国台湾国家科学委员会资助项目(NSC97-2221-E-168-039)
详细信息
    作者简介:

    陳文立(E-mail:wlchen@mail.ksu.edu.tw);楊俞青,教授(联系人.E-mail:ycyang@mail.ksu.edu.tw).

  • 中图分类号: O369

Inverse Estimation for the Unknown Fouling Geometry on the Inner Wall of a Forced-Convection Pipe

  • 摘要: 利用逆运算法中的共轭梯度法与差异原理,通过测量管壁内的温度,来估算一管流系统内壁结垢层厚度的几何形状.过程中未预先设定结垢层厚度的函数形式.因此,可将这类逆运算问题归类为“函数预测”.逆运算过程的管壁温度测量值,可由直接解法所求得的温度数值来仿真实际的测量温度.并用测量误差来检验逆运算分析的正确性.数值实验结果显示,管内壁结垢层厚度的几何形状可获得极佳的估算值.所提出的技术可用作管路维修的预警系统,当管壁结垢层厚度超出某预先设定值时可适时发出维修警示.
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出版历程
  • 收稿日期:  2010-08-25
  • 修回日期:  2010-11-04
  • 刊出日期:  2011-01-15

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