Improved prediction model of gray and thickness of fluorescent oil film based on Hankel matrix

Hongjiang QIAN; Xiucheng DONG; Zhengyu ZHANG

doi:10.13224/j.cnki.jasp.20210147

Chinese

您当前的位置：

首页 >

文章列表页 >

Improved prediction model of gray and thickness of fluorescent oil film based on Hankel matrix

Aerothermodynamics and Aeroengine Design | 更新时间：2025-04-07

- Improved prediction model of gray and thickness of fluorescent oil film based on Hankel matrix
- Journal of Aerospace Power Vol. 36, Issue 10, Pages: 2061-2071(2021)
- 作者机构：
  
  1.西华大学电气与电子信息学院，成都 610039
  2.中国空气动力研究与发展中心高速空气动力研究所，四川绵阳 621000
- 作者简介：
- 基金信息：
- DOI：10.13224/j.cnki.jasp.20210147
  CLC：
- 稿件说明：
移动端阅览
Hongjiang QIAN, Xiucheng DONG, Zhengyu ZHANG. Improved prediction model of gray and thickness of fluorescent oil film based on Hankel matrix[J]. Journal of Aerospace Power, 2021, 36(10): 2061-2071.
DOI：

Hongjiang QIAN, Xiucheng DONG, Zhengyu ZHANG. Improved prediction model of gray and thickness of fluorescent oil film based on Hankel matrix[J]. Journal of Aerospace Power, 2021, 36(10): 2061-2071. DOI： 10.13224/j.cnki.jasp.20210147.

摘要

针对荧光油膜灰度与厚度关系数据采集方法较为繁琐、耗时耗力这一问题，研究了基于Hankel阵的系统辨识算法

并在此基础提出了Hankel阵误差修正模型和Hankel阵高阶迭代误差修正模型等两种改进方法，利用了极少数据量建立模型，实现了对其余未知荧光油膜厚度值的预测，且保持了较高的精度。试验结果表明：基于极少数据量建模以预测该数据量外的数据点这一特殊背景下，插值法的外插能力显得并不适用。而传统Hankel阵预测模型的预测精度为76.69%，Hankel阵误差修正模型和Hankel阵高阶迭代误差修正模型的预测精度分别为85.69%和89.25%，较之传统方法预测精度分别提高了9%和12.56%，为荧光油流技术领域针对荧光油膜灰度与厚度建模问题提供了一种可行技术路线，具有一定的实际工程应用意义。

Abstract

In order to solve the problem of tedious and time⁃consuming data collection methods for the relationship between gray and thickness of fluorescent oil film，the system identification algorithm of Hankel matrix was studied，and two improved methods such as Hankel array error correction model and Hankel array high order iterative error correction model were proposed accordingly，which can achieve the prediction of the remaining unknown fluorescent oil film thickness values by using a very small amount of data to build the models.The prediction of the remaining unknown fluorescent oil film thickness values was achieved with high accuracy.The test results showed that the interpolation capability of the interpolation method seemed not applicable in the particular context of modelling a very small amount of data to predict data points outside that amount of data，while the prediction accuracy of the traditional Hankel array prediction model was 76.69%；the Hankel array error correction model and the Hankel array high order iterative error correction model had a prediction accuracy of 85.69% and 89.25%，respectively，9% and 12.56% higher than those of the traditional method.This has provided a feasible technical route for modelling the gray and thickness of fluorescent oil film in the field of fluorescent oil flow technology with certain practical engineering application significance.

关键词

Keywords

references

LIU T , SHEN L . Fluid flow and optical flow [J]. Journal of Fluid Mechanics , 2008 , 614 : 253 ⁃ 291 .

雷鹏飞 , 周恩民 , 胡运华 . 连续式跨声速风洞与压缩机的气动性能匹配 [J]. 航空动力学报 , 2021 , 36 （ 2 ）: 233 ⁃ 239 .

LEI Pengfei , ZHOU Enmin , HU Yunhua . Aerodynamic performance matching of continuous transonic wind tunnel and its driving compressor [J]. Journal of Aerospace Power , 2021 , 36 （ 2 ）: 233 ⁃ 239 . （in Chinese）

LIU T , WOODIGA S ， MONTEFORT J ， et al . Global skin friction diagnostics in separated flows using luminescent oil [J]. Journal of Flow Visualization and Image Processing , 2009 , 16 （ 1 ）: 19 ⁃ 39 .

朱自强 , 吴宗成 , 丁举春 . 层流流动控制技术及应用 [J]. 航空学报 , 2011 , 32 （ 5 ）: 765 ⁃ 784 .

ZHU Ziqiang , WU Zongcheng , DING Juchun . Laminar flow control technology and application [J]. Acta Aeronautica et Astronautica Sinica ， 2011 ， 32 （ 5 ）: 765 ⁃ 784 . （in Chinese）

周江宁 , 殷一民 , 郭秋亭 , 等 . 基于激光诱导荧光的高速飞行粒子低温段测温方法 [J]. 航空动力学报 , 2019 , 34 （ 12 ）: 2642 ⁃ 2647 .

ZHOU Jiangning , YIN Yimin , GUO Qiuting , et al . Thermometry method for high speed flying particle at low temperature based on laser induced fluorescence technique [J]. Journal of Aerospace Power , 2019 , 34 （ 12 ）: 2642 ⁃ 2647 . （in Chinese）

LIU T ， WOODIGA S ， TIAN M . Skin friction topology in a region enclosed by penetrable boundary [J]. Experiments in Fluids , 2011 , 51 （ 6 ）: 1549 ⁃ 1562 .

邢宇 , 罗东明 , 余雄庆 . 超临界层流翼型优化设计策略 [J]. 北京航空航天大学学报 , 2017 , 43 （ 8 ）: 1616 ⁃ 1624 .

XING Yu , LUO Dongming , YU Xiongqing . Optimization strategy of supercritical laminar flow airfoil design [J]. Journal of Beijing University of Aeronautics and Astronautics , 2017 , 43 （ 8 ）: 1616 ⁃ 1624 . （in Chinese）

刘志勇 , 李建强 , 高荣钊 , 等 . 应用OFI和Preston管测量亚跨声速摩擦应力 [J]. 实验流体力学 , 2018 , 32 （ 5 ）: 76 ⁃ 81 .

LIU Zhiyong , LI Jianqiang , GAO Rongzhao , et al . Skin friction measurements using oil film interferometry and Preston tube at subsonic/transonic regime [J]. Journal of Experiments in Fluid Mechanics , 2018 , 32 （ 5 ）: 76 ⁃ 81 . （in Chinese）

张华辉 . 低温漂混合集成砷化镓霍尔器件的研究与设计 [D]. 太原：太原理工大学 , 2019 .

ZHANG Huahui . Research and design of hybrid integrated gallium arsenide Hall device with low temperature coefficient [D]. Taiyuan : Taiyuan University of Technology , 2019 . （in Chinese）

王帅 , 何国强 , 秦飞 , 等 . 超声速内流道摩擦阻力分析及减阻技术研究 [J]. 航空动力学报 , 2019 , 34 （ 4 ）: 908 ⁃ 919 .

WANG Shuai , HE Guoqiang , QIN Fei , et al . Research on skin⁃friction drag and drag reduction technics in a supersonic inner flow path [J]. Journal of Aerospace Power , 2019 , 34 （ 4 ）: 908 ⁃ 919 . （in Chinese）

徐大川 , 龙彦志 , 李玉栋 , 等 . 基于激光多普勒原理的极低风速测量实验 [J]. 航空动力学报 , 2020 , 35 （ 6 ）: 1228 ⁃ 1237 .

XU Dachuan , LONG Yanzhi , LI Yudong , et al . Experiment of extremely low wind velocity measurement based on laser Doppler [J]. Journal of Aerospace Power , 2020 , 35 （ 6 ）: 1228 ⁃ 1237 . （in Chinese）

TANNER L H . A skin friction meter,using the viscosity balance principle,suitable for use with flat or curved metal surfaces （based on thickness measurement） [J]. Journal of Physics E:Scientific Instruments , 1977 , 10 （ 3 ）: 278 ⁃ 284 .

BROWN J L , NAUGHTON J W . The thin oil film equation [M]. Washington DC :NASA AMES R esearch Center , 1997 .

LIU T , MONTEFORT J , WOODIGA S , et al . Global luminescent oil⁃film skin⁃friction meter [J]. AIAA Journal , 2008 , 46 （ 2 ）: 476 ⁃ 485 .

李鹏 , 明晓 . 风力机叶片的全局表面摩擦力测量的荧光油膜法 [J]. 南京航空航天大学学报 , 2011 , 43 （ 5 ）: 581 ⁃ 585 .

LI Peng , MING Xiao . Fluorescent oil film method for global surface friction measurement of wind turbine blades [J]. Journal of Nanjing University of Aeronautics and Astronautics , 2011 , 43 （ 5 ）: 581 ⁃ 585 . （in Chinese）

李鹏 . 全局表面摩擦应力直接测量技术研究 [D]. 南京：南京航空航天大学 , 2012 .

LI Peng . Research on direct measurement technology of global surface friction stress [D]. Nanjing : Nanjing University of Aeronautics and Astronautics , 2012 . （in Chinese）

黄湛 , 王宏伟 , 魏连风 , 等 . 基于荧光油膜的全局表面摩阻测量技术研究 [J]. 空气动力学学报 , 2016 , 34 （ 3 ）: 373 ⁃ 378，403 .

HUANG Zhan , WANG Hongwei , WEI Lianfeng , et al . Research of global skin friction measurement based on fluorescent oil film [J]. Acta Aerodynamica Sinica , 2016 , 34 （ 3 ）: 373 ⁃ 378，403 . （in Chinese）

向珉江 , 高厚磊 , 安艳秋 , 等 . 一种提高数据同步精度的自适应插值算法 [J]. 电力系统自动化 , 2012 , 36 （ 8 ）: 77 ⁃ 81 .

XIANG Minjiang , GAO Houlei , AN Yanqiu , et al . An adaptive interpolation algorithm to improve data synchronization precision [J]. Automation of Electric Power Systems , 2012 , 36 （ 8 ）: 77 ⁃ 81 . （in Chinese）

MU B Q , CHEN H F . Hankel matcices for system identification [J]. Journal of Mathematical Analysis and Applications , 2014 , 409 （ 1 ）: 494 ⁃ 508 .

李海涛 , 邵泽东 . 空间插值分析算法综述 [J]. 计算机系统应用 , 2019 , 28 （ 7 ）: 1 ⁃ 8 .

LI Haitao , SHAO Zedong . Review of spatial interpolation analysis algorithm [J]. Computer Systems and Applications , 2019 , 28 （ 7 ）: 1 ⁃ 8 . （in Chinese）

孙思梦 . 关于连分式插值方法的若干研究 [D]. 安徽淮南：安徽理工大学 , 2020 .

SUN Simeng . Some research on continued fraction interpolation method [D]. Huainan,Anhui : Anhui University of Science and Technology , 2020 . （in Chinese）

ALI S ， WENG C ， KONG J . Vector Hankel transform analysis of annular⁃ring microstrip antenna [J]. IEEE Transactions on Antennas and Propagation , 1982 , 30 （ 4 ）: 637 ⁃ 644 .

CHEN G N , ZHAO B , ZHANG H P . The general rational interpolation problem in scalar case and its hankel vector [J]. Linear Algebra and its Applications , 1996 , 244 （ 1 ）: 165 ⁃ 201 .

FORTAKI T ， KHEDROUCHE D ， BOUTTOUT F ， et al . Vector Hankel transform analysis of a tunable circular microstrip patch [J]. International Journal for Numerical Methods in Biomedical Engineering , 2010 , 21 （ 5 ）: 219 ⁃ 231 .

张波 , 李健君 . 基于Hankel矩阵与奇异值分解（SVD）的滤波方法以及在飞机颤振试验数据预处理中的应用 [J]. 振动与冲击 , 2009 , 28 （ 2 ）: 162 ⁃ 166 .

ZHANG Bo , LI Jianjun . Denoising method based on hankel matrix and SVD and its application in flight flutter testing data preprocessing [J]. Journal of Vibration and Shock , 2009 , 28 （ 2 ）: 162 ⁃ 166 . （in Chinese）

AHN H S ， PARK S H ， YE J C . Quantitative susceptibility map reconstruction using annihilating filter⁃based low⁃rank Hankel matrix approach [J]. Magnetic Resonance in Medicine , 2020 , 83 （ 3 ）: 858 ⁃ 871 .

WANG C ， ZHU Z ， GU H . Low⁃rank seismic denoising with optimal rank selection for hankel matrices [J]. Geophysical Prospecting , 2020 , 68 （ 3 ）: 892 ⁃ 909 .

LI T ， CHEN J . The core invertibility of a companion matrix and a Hankel matrix [J]. Linear and Multilinear Algebra , 2020 , 68 （ 3 ）: 550 ⁃ 562 .

LAL M ， MITTRA R . A comparison of transfer function simplification methods [J]. IEEE Transactions on Automatic Control , 2003 , 19 （ 5 ）: 617 ⁃ 618 .

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Global velocity measurement of fluorescent oil film based on deep learning optical flow method

Inverse design method of airfoil based on deep learning

Compressive strength prediction of CCF300/QY8911 unidirectional fiber reinforced composites

Elastic property prediction of 2.5 dimensional woven structures

考虑多源不确定性的复合材料风扇叶片高周疲劳失效概率评估

Related Author

Chao WANG

Shifu GU

HE Lei

QIAN Weiqi

LIU Tao

ZHANG Yong-bo

FU Hui-min

WANG Zhi-hua

Related Institution

Research Center of Small Sample Technology, Beijing University of Aeronautics and Astronautics

College of Energy and Power Engineering,Nanjing University of Aeronautics and Astronautics

AI问答

Postal code：100079
Tel：（010）53879206 Email：tmw@bjxintong.com.cn
Technical support is provided by Beijing Founder electronics co., LTD 京ICP备09082226号-64 京公网安备11010602201714号
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰