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Diffusion-induced bias in near-wall velocimetry

Published online by Cambridge University Press:  19 April 2007

REZA SADR ,
CHRISTEL HOHENEGGER ,
HAIFENG LI ,
PETER J. MUCHA  and
MINAMI YODA
REZA SADR
Affiliation:
G. W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology Savannah, Savannah, GA 31407, USA
CHRISTEL HOHENEGGER
Affiliation:
Department of Mathematics, University of North Carolina, Chapel Hill, NC 27599-3250, USA
HAIFENG LI
Affiliation:
G. W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0405, USA
PETER J. MUCHA
Affiliation:
Department of Mathematics, University of North Carolina, Chapel Hill, NC 27599-3250, USA Institute for Advanced Materials, University of North Carolina, Chapel Hill, NC 27599-3290, USA
MINAMI YODA
Affiliation:
G. W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0405, USA
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Abstract

The Brownian fluctuations of the colloidal tracers often used in microscale velocimetry are typically isotropic in the bulk. In the near-wall region, however, these fluctuations are strongly affected by the hydrodynamic interaction with the wall and by the no-flux condition imposed by the wall. These wall effects can, under appropriate conditions, bias measurements based on colloidal tracers, potentially leading to significant overestimation of near-wall velocities. We use a Fokker–Planck description to generate probability density functions of the distances from a single wall sampled by the matched particles that are present in the same window at both the start and end of a time interval. The importance of the resulting bias for experimental parameters is then quantified in terms of the size of the imaged region and measurement interval. We conclude with a brief discussion of the implications for near-wall velocimetry measurements.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 577 , 25 April 2007 , pp. 443 - 456
Copyright
Copyright © Cambridge University Press 2007

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