### Abstract

A particle image velocimeter method is described in which double exposed fields of particles moving in a two-dimensional slice of a steady turbulent flow are photographed repeatedly to build up a statistical ensemble of flow field realizations on a single photographic plate. Each interrogation spot on the plate contains a sample of the probability density function of the two components of velocity that lie in the photographic object plane, assuming paraxial photography. Theory is developed showing how this sample can be measured by two-dimensional spatial correlation analysis, followed by deconvolution to remove the effects of finite particle image size. The probability density measurements are biased inherently against large velocities, but these effects can be minimized and/or corrected.

Original language | English (US) |
---|---|

Pages (from-to) | 211-228 |

Number of pages | 18 |

Journal | Optics and Lasers in Engineering |

Volume | 9 |

Issue number | 3-4 |

DOIs | |

State | Published - 1988 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Atomic and Molecular Physics, and Optics

### Cite this

**Double exposure, multiple-field particle image velocimetry for turbulent probability density.** / Adrian, Ronald.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Double exposure, multiple-field particle image velocimetry for turbulent probability density

AU - Adrian, Ronald

PY - 1988

Y1 - 1988

N2 - A particle image velocimeter method is described in which double exposed fields of particles moving in a two-dimensional slice of a steady turbulent flow are photographed repeatedly to build up a statistical ensemble of flow field realizations on a single photographic plate. Each interrogation spot on the plate contains a sample of the probability density function of the two components of velocity that lie in the photographic object plane, assuming paraxial photography. Theory is developed showing how this sample can be measured by two-dimensional spatial correlation analysis, followed by deconvolution to remove the effects of finite particle image size. The probability density measurements are biased inherently against large velocities, but these effects can be minimized and/or corrected.

AB - A particle image velocimeter method is described in which double exposed fields of particles moving in a two-dimensional slice of a steady turbulent flow are photographed repeatedly to build up a statistical ensemble of flow field realizations on a single photographic plate. Each interrogation spot on the plate contains a sample of the probability density function of the two components of velocity that lie in the photographic object plane, assuming paraxial photography. Theory is developed showing how this sample can be measured by two-dimensional spatial correlation analysis, followed by deconvolution to remove the effects of finite particle image size. The probability density measurements are biased inherently against large velocities, but these effects can be minimized and/or corrected.

UR - http://www.scopus.com/inward/record.url?scp=0024129455&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024129455&partnerID=8YFLogxK

U2 - 10.1016/S0143-8166(98)90004-5

DO - 10.1016/S0143-8166(98)90004-5

M3 - Article

AN - SCOPUS:0024129455

VL - 9

SP - 211

EP - 228

JO - Optics and Lasers in Engineering

JF - Optics and Lasers in Engineering

SN - 0143-8166

IS - 3-4

ER -