The Depth of Correlation in Micro-PIV for High Numerical Aperture and Immersion Objectives

[+] Author and Article Information
Christopher J. Bourdon, Allen D. Gorby

Experimental Thermal Fluids and Aero Sciences, Engineering Sciences Center, Sandia National Laboratories, PO Box 5800, MS 0834, Albuquerque, NM 87185

Michael G. Olsen

Department of Mechanical Engineering, Iowa State University, 3025 H. M. Black Engineering Building, Ames, IA 50011

J. Fluids Eng 128(4), 883-886 (Nov 17, 2005) (4 pages) doi:10.1115/1.2201649 History: Received February 15, 2005; Revised November 17, 2005

The analytical model for the depth of correlation (measurement depth) of a microscopic particle image velocimetry (micro-PIV) experiment derived by Olsen and Adrian (Exp. Fluids, 29, pp. S166–S174, 2000) has been modified to be applicable to experiments using high numerical aperture optics. A series of measurements are presented that experimentally quantify the depth of correlation of micro-PIV velocity measurements which employ high numerical aperture and magnification optics. These measurements demonstrate that the modified analytical model is quite accurate in estimating the depth of correlation in micro-PIV measurements using this class of optics. Additionally, it was found that the Gaussian particle approximation made in this model does not significantly affect the model’s performance. It is also demonstrated that this modified analytical model easily predicts the depth of correlation when viewing into a medium of a different index of refraction than the immersion medium.

Copyright © 2006 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Comparison of the weighting function calculated using three-dimensional diffraction pattern of a 1μm particle image and Eq. 4 for a M=40, NA=1.25 oil immersion lens

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Figure 2

Comparison of the weighting function from Eqs. 1,4 to experimental data for M=40, NA=1.25 oil immersion objective

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Figure 3

Comparison of the weighting function from Eqs. 1,4 to experimental data for M=63, NA=1.4 oil immersion objective

Grahic Jump Location
Figure 4

Comparison of the weighting function from experimental data for M=20, NA=0.7 oil immersion objective viewing particles immersed in either water or oil



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