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Inertial migration of a sphere in Poiseuille flow

Published online by Cambridge University Press:  26 April 2006

Jeffrey A. Schonberg  and
E. J. Hinch
Jeffrey A. Schonberg
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, UK
E. J. Hinch
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, UK
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Abstract

The inertial migration of a small sphere in a Poiseuille flow is calculated for the case when the channel Reynolds number is of order unity. The equilibrium position is found to move towards the wall as the Reynolds number increases. The migration velocity is found to increase more slowly than quadratically. These results are compared with the experiments of Segré & Silberberg (1962 a, b).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 203 , June 1989 , pp. 517 - 524
Copyright
© 1989 Cambridge University Press

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References

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