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The Oseen resistance of a particle of arbitrary shape

Published online by Cambridge University Press:  28 March 2006

Howard Brenner
Howard Brenner
Affiliation:
Department of Chemical Engineering, New York University, New York 53, N.Y.
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Abstract

Let D0 be the Stokes drag on an arbitrary body moving parallel to a principal axis of resistance, with velocity U, through an unbounded fluid. The Oseen drag, D, experienced by this same body moving with equal velocity and identical orientation through the unbounded fluid is then given by the expression $\frac {D}{D_0} = 1 + \frac {D_0}{16 \pi \mu c U} R + O(R^2)$ where c is any characteristic particle dimension and $R = cU \rho|\mu$ is the particle Reynolds number. An analogous expression is given for the case where the motion is not parallel axis. Finally, an expression is given for the Oseen resistance of an arbitrary falling parallel to a principal axis of resistance along the axis of a cylindrical tube of finite radius.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 11 , Issue 4 , December 1961 , pp. 604 - 610
Copyright
© 1961 Cambridge University Press

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