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A comparative study of the PIV and LDV measurements on a self-induced sloshing flow

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Abstract

Particle Imaging Velocimetry (PIV) and Laser Doppler Velocimetry (LDV) measurements on a self-induced sloshing flow in a rectangular tank had been conducted in the present study. The PIV measurement result was compared with LDV measurement result quantitatively in order to evaluate the accuracy level of the PIV measurement. The comparison results show that the PIV and LDV measurement results agree with each other well in general for both mean velocity and fluctuations of the velocity components. The average disagreement level of the mean velocity between PIV and LDV measurement results was found to be within 3% of the target velocity for the PIV system parameter selection. Bigger disagreements between the PIV and LDV measurement results were found to concentrate at high shear regions. The spatial resolution and temporal resolution differences of the PIV and LDV measurements and the limited frames of the PIV instantaneous results were suggested to be the main reasons for the disagreement.

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Abbreviations

b :

the height of the test tank inlet,b=20 mm

E :

the width of the exit of the test tank

f :

the frequency of the self-induced sloshing in the test tank

H :

the water level height of the free surface in the test tank

LDV-PIV:

the disagreement of the PIV and LDV measurement results

$$LDV - PIV = \sqrt {(U_{LDV} - U_{PIV} )^2 + (V_{LDV} - V_{PIV} )^2 } $$
n :

The mode of the self-induced sloshing free surface in the test tank

Re:

Reynolds Number,\(\operatorname{Re} = \frac{{\rho U_0 b}}{\mu } = 6700\) for the present study

r.m.s (u i,j), r.m.s (v i,j ):

fluctuations of the velocity components,

$$r.m.s.(u_{i,j} ) = \frac{{\sqrt {\sum\limits_{t = 1}^N {(u_{i,j,t} - U_{i,j} )^2 } } }}{N}, r.m.s. (v_{i,j} ) = \frac{{\sqrt {\sum\limits_{t = 1}^N {(v_{i,j,t} - V_{i,j} )^2 } } }}{N}$$
T i,j :

in-plane turbulent intensity,\(T_{i,j} = \sqrt {(r.m.s.(u_{i,j} ))^2 + (r.m.s. (v_{i,j} ))^2 } \)

U 0 :

inlet jet velocity

u, v :

the instantaneous velocity components alongx, y axial direction

U,V :

ensemble averaged velocity

W :

the width of the test tank,W=300 mm

i,j :

the index of the measurement points alongx, y axial direction

LDV:

LDV measurement result

Phase:

phase averaged values

PIV:

PIV measurement result

t :

time steps

References

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Tetsuo Saga: He works in the Institute of Industrial Science, University of Tokyo. His research field is mechanical engineering. Flow visualization and its image analysis, prediction and control of flow induced vibration, automobile aerodynamics are his main research works. His current research interests are in micro- and bio-flow analysis by using PIV.

Hui Hu: He received his Ph. D degree in 1996 from Beijing University of Aeronautics and Astronautics (BUAA), then worked as a Research Fellow of Japan Society for Promotion of Science (JSPS) (1997–1999) in the University of Tokyo. He is a Research Fellow in the Kobayashi Laboratory of Institute of Industrial Science (IIS), University of Tokyo. His current research interests include development new optical diagnostic techniques for fluid flow and heat transfer, which include conventional 2-D PIV technique, 3-D stereoscopic PIV technique and Planar LIF technique. He has also intensive interests in active and passive control of the fluid flow, lobed mixer/ejector exhaust system and gas turbine machinery

Toshio Kobayashi: He received his Ph. D. in Mechanical Engineering Department, the University of Tokyo in 1970. After completion his Ph.D. program, he has been a faculty member of Institute of Industrial Science, University of Tokyo, and currently is a Professor. His research interests are numerical analysis of turbulence, especially Large Eddy Simulation (LES), and particle imaging velocimetry (PIV) technique. He serves as the President to the Visualization Society of Japan (VSJ), President-elect to the Japan Society of Mechanical Engineers (JSME), and Executive Vice President to the Society of Automotive Engineer of Japan (JSAE).

Shigeru Murata: He received his BSc(Eng) degree in mechanical engineering from Kyoto Institute of Technology in 1982, MSc.(Eng.) degree in 1984 and Ph. D.(Eng.) degree in 1993 from Kyoto University. He started work at Kyoto Institute of Technology in 1984 after he got his MSc. (Eng.) degree, and is currently an Associate Professor in the Department of Mechanical and System Engineering at Kyoto Institute of Technology. His current research interests are focused on optical techniques for flow measurements and development of digital holography in mechanical engineering.

Koji Okamoto: He received his MSc (Eng) in Nuclear Engineering in 1985 from University of Tokyo. He also received his Ph.D. in Nuclear Engineering in 1992 from University of Tokyo. He worked in Department of Nuclear Engineering, Texas A&M University as a visiting associate professor in 1994. He has been working in the Nuclear Engineering Research Laboratory, University of Tokyo as an associate professor since 1993. His research interests are Quantitative Visualization, PIV, Holographic PIV, Flow Induced Vibration and Thermal-hydraulics in Nuclear Power Plant.

Shigeru Nishino: He graduated from Osaka University in 1983 and received his MSc(Eng) degree in Naval Architecture in 1985. He worked in Department of Marine System Engineering, Osaka Prefecture University from 1988 to 1999. He was awarded Ph. D.(Eng) degree in ship hydrodynamics, study on the three-dimensional separated flow around prolate spheroids and ships at incidence in 1990. He has been working as an Associate Professor in Kobe University of Mercantile Marine, Department of Maritime Science since 1999. His research interests are in the image measurement of flow field and the bio-fluid mechanics in fish-like propulsions.

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Saga, T., Hu, H., Kobayashi, T. et al. A comparative study of the PIV and LDV measurements on a self-induced sloshing flow. J Vis 3, 145–156 (2000). https://doi.org/10.1007/BF03182407

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  • DOI: https://doi.org/10.1007/BF03182407

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