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Statistical approach to the measurement of velocity field

Abstract

Present paper describes the principle and applications of a velocity measurement using statistical analysis of visualized flow images. The authors have developed a new algorithm for the measurement using the passing probability of a particle. It is known that this kind methods gives the total flow speed at each pixel unit. In this study, the method is extended by forming the governing equation using the Lagrange’s differentiation. The process is similar to the so-called spatio-temporal derivative method. The extension of the equation enables to measure the velocity components with the help of the statistical technique. The idea is based on the fact that the temporal derivative of luminance function is proportional to the vector product of the flow velocity and the gradient of luminance function in space which gives the velocity component normal to the edge of particle image. This is easy to apply on the three-dimensional flow field.

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Additional information

Authors’ Profiles Shigeru Nishio: He has graduated from Osaka University in 1983 and has received his M. Eng. degree in Naval Architecture in 1985. He has been working in Department of Naval Architecture, Osaka Prefecture University since 1988, and was awarded Dr. Eng. degree in ship hydrodynamics, study on the three-dimensional separated flow around prolate spheroids and ships at incidence in 1990. He works as an associate professor in Osaka Prefecture University, Department of Marine System Engineering since 1996. His research interests are in the image measurement of flow field, and bio-fluid mechanics in fish-like propulsions.

Taketoshi Okuno: He has graduated from Osaka Prefecture University in 1969 and has received his M. Eng. degree in Naval Architecture in 1971. He has been working in Department of Naval Architecture, Osaka Prefecture University since he had completed the master degree course in graduate school of engineering. He has obtained his Dr.Eng. degree in the field of Naval Architecture, three dimensional boundary layer around ship hull in 1980. He worked for the University of Liverpool from 1982 to 1984 as a research fellow. He works as a professor in Osaka Prefecture University, Department of Marine System Engineering since 1991. His research interests are in image measurement of flow field, and also various measurements in coastal zone.

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Nishio, S., Okuno, T. Statistical approach to the measurement of velocity field. J Vis 1, 161–170 (1998). https://doi.org/10.1007/BF03182510

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Keywords

  • PIV
  • statistical analysis
  • spatio-temporal derivative
  • flow velocity measurement
  • wake measurement