Hostname: page-component-848d4c4894-75dct Total loading time: 0 Render date: 2024-05-23T03:59:42.552Z Has data issue: false hasContentIssue false

The force on a small sphere in slow viscous flow

Published online by Cambridge University Press:  19 April 2006

Donald A. Drew
Affiliation:
Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, New York 12181.

Abstract

The force on a small sphere translating relative to a slow viscous flow is found to O(Re½) for two different fluid flows far from the sphere, namely pure rotation and pure shear. For pure rotation, the O(Re½) correction to the Stokes drag consists of an increase in the drag. For pure shear, the O(Re½) force contains a component perpendicular to the Stokes drag force.

Type
Research Article
Copyright
© 1978 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Childress, W. S. 1964 J. Fluid Mech. 20, 305.
Drew, D. A. 1976 Arch. Rat. Mech. 62, 149.
Happel, J. & Brenner, H. 1965 Low Reynolds Number Hydrodynamics. Prentice Hall.
Harper, E. Y. & Chang, I. D. 1968 J. Fluid Mech. 33, 209.
Herron, I. H., Davis, S. H. & Bretherton, F. P. 1975 J. Fluid Mech. 68, 209.
Saffman, P. G. 1965 J. Fluid Mech. 22, 385.
Saffman, P. G. 1968 J. Fluid Mech. 31, 624.
Soo, S. L. 1967 Fluid Dynamics of Multiphase Systems. Blaisdell.