基于简易PIV的圆柱绕流压力场重构
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摘要
采用简易粒子成像测速仪(PIV)装置测量入口流速为14.3 cm/s时圆柱绕流的速度场,运用有限容积法和直接积分法重构压力场。对比Fluent模拟速度场结果,分析简易PIV的速度场测量误差;对比Fluent模拟压力场结果,分析基于Fluent模拟速度场以及PIV实测速度场的不同算法重构压力场误差。结果表明:在简易PIV系统中,摄像机采用适合的空间分辨率与时间分辨率能有效减小速度场测量误差。基于Fluent模拟速度场数据,当给定第一边界条件时,有限容积法的压力场重构误差小于直接积分法,均方根误差分别为1.73%,8.99%;基于PIV实测速度场,有限容积法的压力场重构误差大于直接积分法,均方根误差分别为26.58%,12.72%;降低速度场误差与获取准确的边界条件均能有效提高压力场重构精度。通过采用低成本的PIV装置,探究获取流体的瞬态压力场重构方法,降低了PIV中重构压力场的成本。
A simple PIV device is adopted to measure the velocity field of flow around a cylinder when the inlet velocity is 14.3 cm/s, and the pressure field is reconstructed by finite volume method and direct integral method. The error of velocity field measurement by simple PIV is analyzed by referring to the results of Fluent simulation, and the error of pressure field reconstruction by different algorithms based on Fluent-simulated velocity field and PIV-measured velocity field is also analyzed by comparing to the result of Fluent simulation. Results demonstrated that in the simple PIV system, camera could reduce the error of velocity field measurement by adopting suitable spatial resolution and time resolution. When given the first boundary condition on the basis of Fluent-simulated data, the error of pressure field reconstruction by finite volume method is smaller than that by direct integral method, with the root mean square error reaching 1.73% and 8.99%, respectively; on the basis of PIV-measured data, the reconstruction error by finite volume method is greater than that by direct integral method, with the root mean square error amounting to 26.58% and 12.72%, respectively. In conclusion, reducing the error of velocity field and setting up accurate boundary conditions could improve the reconstruction accuracy of pressure field. The analysis result is aimed at exploring the reconstruction method for transient pressure field of fluid through low-cost PIV device, so as to reduce the cost of measuring pressure field from PIV.
A simple PIV device is adopted to measure the velocity field of flow around a cylinder when the inlet velocity is 14.3 cm/s, and the pressure field is reconstructed by finite volume method and direct integral method. The error of velocity field measurement by simple PIV is analyzed by referring to the results of Fluent simulation, and the error of pressure field reconstruction by different algorithms based on Fluent-simulated velocity field and PIV-measured velocity field is also analyzed by comparing to the result of Fluent simulation. Results demonstrated that in the simple PIV system, camera could reduce the error of velocity field measurement by adopting suitable spatial resolution and time resolution. When given the first boundary condition on the basis of Fluent-simulated data, the error of pressure field reconstruction by finite volume method is smaller than that by direct integral method, with the root mean square error reaching 1.73% and 8.99%, respectively; on the basis of PIV-measured data, the reconstruction error by finite volume method is greater than that by direct integral method, with the root mean square error amounting to 26.58% and 12.72%, respectively. In conclusion, reducing the error of velocity field and setting up accurate boundary conditions could improve the reconstruction accuracy of pressure field. The analysis result is aimed at exploring the reconstruction method for transient pressure field of fluid through low-cost PIV device, so as to reduce the cost of measuring pressure field from PIV.
引文
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[15] 刘顺,徐惊雷,俞凯凯.基于 PIV 技术的压力场重构算法实现与研究[J].实验流体力学,2016,30(4):56-65.
[16] 王勇,陈鹏,黄奔,等.基于 PIV 速度场测量的压强梯度计算[J].航空动力学报,2017,32(6):1491-1504.
[17] 高殿荣,王益群,申功炘.DPIV 技术及其在流场测量中的应用[J].液压气动与密封,2001(5):30-33.
[18] STAMHUIS E J.Basics and Principles of Particle Image Velocimetry (PIV) for Mapping Biogenic and Biologically Relevant Flows[J].Aquatic Ecology,2006,40(4):463-479.
[19] 柯森繁,石小涛,王恩慧,等.简易粒子图像测速 (PIV) 技术开发与优化技巧[J].长江科学院院报,2016,33(8):144-150.
[20] THIELICKE W,STAMHUIS E J.PIVlab-Towards User-friendly,Affordable and Accurate Digital Particle Image Velocimetry in MATLAB[J].Journal of Open Research Software,2014,2(1),doi:10.5334/jors.bl.
[21] AUTERI F,CARINI M,ZAGAGLIA D,et al.A Novel Approach for Reconstructing Pressure from PIV Velocity Measurements[J].Experiments in Fluids,2015,56(2):1-16.
[22] 王大伟,王元.由PIV的速度场获取压强分布的数值方法[EB/OL].(2016-11-09)[2018-05-01].http://www.paper.edu.cn/releasepaper/content/200611-227.
[23] 万津津.近壁方柱绕流湍流场非定常特性的PIV实验研究[D].上海:上海交通大学,2009.
[24] DABIRI J O,BOSE S,GEMMELL B J,et al.An Algorithm to Estimate Unsteady and Quasi-steady Pressure Fields from Velocity Field Measurements[J].Journal of Experimental Biology,2014,217(3):331-336.
[2] ADRIAN R J.Twenty Years of Particle Image Velocimetry[J].Experiments in Fluids,2005,39(2):159-169.
[3] KAMINSKY R,MORBIDUCCI U,ROSSI M,et al.Time-resolved PIV Technique for High Temporal Resolution Measurement of Mechanical Prosthetic Aortic Valve Fluid Dynamics[J].International Journal of Artificial Organs,2007,30(2):153.
[4] VAN OUDHEUSDEN B W.PIV-based Pressure Measurement[J].Measurement Science and Technology,2013,24(3):032001.
[5] KAWATA T,OBI S.Velocity-pressure Correlation Measurement Based on Planar PIV and Miniature Static Pressure Probes[J].Experiments in Fluids,2014,55(7):1776.
[6] 王勇,陈鹏,耿子海,等.基于PIV速度场测量重构压强场的研究进展[J].实验流体力学,2014,28(4):1-8.
[7] GURKA R,LIBERZON A,HEFETZ D,et al.Computation of Pressure Distribution Using PIV Velocity Da-ta[C]//Proceedings of the 3rd International Symposium on Particle Image Velocimetry.Santa Barbara,USA,Sep-tember 16-18,1999.
[8] FUJISAWA N,TANAHASHI S,SRINIVAS K.Evaluation of Pressure Field and Fluid Forces on a Circular Cylinder with and Without Rotational Oscillation Using Velocity Data from PIV Measurement[J].Measurement Science & Technology,2005,16(4):989.
[9] KAT R D,OUDHEUSDEN B W V,SCARANO F.Instantaneous Planar Pressure Field Determination around a Square-section Cylinder Based on Time Resolved Stereo-PIV[C]//Proceedings of the 14th International Symposium on Applications of Laser Techniques to Fluid Mechanics.Lisbon,Portugal,July 7-10,2008,paper No.1259.
[10] VAN OUDHEUSDEN B W,SCARANO F,ROOSENBOOM E W M,et al.Evaluation of Integral Forces and Pressure Fields from Planar Velocimetry Data for Incompressible and Compressible Flows[J].Experiments in Fluids,2007,43(2/3):153-162.
[11] VAN OUDHEUSDEN B W.Principles and Application of Velocimetry-based Planar Pressure Imaging in Compressible Flows with Shocks[J].Experiments in Fluids,2008,45(4):657-674.
[12] BAUR T,KONGETER J.PIV with High Temporal Resolution for the Determination of Local Pressure Reductions from Coherent Turbulence Phenomena[C]//Proceedings of the 3rd International Workshop on Particle Image V-elocimetry.Santa Barbara,CA,USA,1999:101-106.
[13] LIU X,KATZ J.Instantaneous Pressure and Material Acceleration Measurements Using a Four-exposure PIV System[J].Experiments in Fluids,2006,41(2):227-240.
[14] CHARONKO J J,KING C V,SMITH B L,et al.Assessment of Pressure Field Calculations from Particle Image Velocimetry Measurements[J].Measurement Science & Technology,2010,21(10).
[15] 刘顺,徐惊雷,俞凯凯.基于 PIV 技术的压力场重构算法实现与研究[J].实验流体力学,2016,30(4):56-65.
[16] 王勇,陈鹏,黄奔,等.基于 PIV 速度场测量的压强梯度计算[J].航空动力学报,2017,32(6):1491-1504.
[17] 高殿荣,王益群,申功炘.DPIV 技术及其在流场测量中的应用[J].液压气动与密封,2001(5):30-33.
[18] STAMHUIS E J.Basics and Principles of Particle Image Velocimetry (PIV) for Mapping Biogenic and Biologically Relevant Flows[J].Aquatic Ecology,2006,40(4):463-479.
[19] 柯森繁,石小涛,王恩慧,等.简易粒子图像测速 (PIV) 技术开发与优化技巧[J].长江科学院院报,2016,33(8):144-150.
[20] THIELICKE W,STAMHUIS E J.PIVlab-Towards User-friendly,Affordable and Accurate Digital Particle Image Velocimetry in MATLAB[J].Journal of Open Research Software,2014,2(1),doi:10.5334/jors.bl.
[21] AUTERI F,CARINI M,ZAGAGLIA D,et al.A Novel Approach for Reconstructing Pressure from PIV Velocity Measurements[J].Experiments in Fluids,2015,56(2):1-16.
[22] 王大伟,王元.由PIV的速度场获取压强分布的数值方法[EB/OL].(2016-11-09)[2018-05-01].http://www.paper.edu.cn/releasepaper/content/200611-227.
[23] 万津津.近壁方柱绕流湍流场非定常特性的PIV实验研究[D].上海:上海交通大学,2009.
[24] DABIRI J O,BOSE S,GEMMELL B J,et al.An Algorithm to Estimate Unsteady and Quasi-steady Pressure Fields from Velocity Field Measurements[J].Journal of Experimental Biology,2014,217(3):331-336.