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Lateral force on a rigid sphere in large-inertia laminar pipe flow

Published online by Cambridge University Press:  12 February 2009

JEAN-PHILIPPE MATAS ,
JEFFREY F. MORRIS  and
ÉLISABETH GUAZZELLI
JEAN-PHILIPPE MATAS*
Affiliation:
LEGI CNRS UMR 5519 – Université J. Fourier, BP 53 38041 Grenoble cedex 9, France
JEFFREY F. MORRIS
Affiliation:
Levich Institute and Chemical Engineering, City College of CUNY, New York, NY 10031, USA
ÉLISABETH GUAZZELLI
Affiliation:
IUSTI CNRS UMR 6595 – Polytech' Marseille – Aix-Marseille Université (U1), 5 rue Enrico Fermi, 13453 Marseille cedex 13, France
*
†Email address for correspondence: [email protected]
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Abstract

We present a prediction of the lateral force exerted on a rigid neutrally buoyant sphere in circular cross-section Poiseuille flow. The force is calculated with the method of matched asymptotic expansions. We investigate the influence of the pipe Reynolds number in the range 1–2000 on the equilibrium position and the magnitude of the lateral force. We show that the predicted lift force in a circular geometry is qualitatively similar to, but quantitatively different from, that in a plane channel. The predicted force in the pipe is significantly smaller than the channel result, and the zero of the force which determines the equilibrium radial position of a suspended particle lies closer to the centreline in the pipe.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 621 , 25 February 2009 , pp. 59 - 67
Copyright
Copyright © Cambridge University Press 2009

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References

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