Hostname: page-component-6bb9c88b65-bcq64 Total loading time: 0 Render date: 2025-07-25T00:28:41.288Z Has data issue: false hasContentIssue false
  • English
  • Français

Creeping flow around a deforming sphere

Published online by Cambridge University Press:  29 March 2006

S. P. Lin  and
A. K. Gautesen
S. P. Lin
Affiliation:
Clarkson College of Technology, Potsdam, New York Present address: Department of Applied Mathematics and Theoretical Physics University of Cambridge.
A. K. Gautesen
Affiliation:
Clarkson College of Technology, Potsdam, New York
Get access Rights & Permissions [Opens in a new window]

Abstract

The flow of an incompressible viscous fluid past a deforming sphere is studied for small values of the Reynolds number. The deformation is assumed to be radial but is otherwise quite general. The case of S = O(l), where S is the Strouhal number, is investigated in detail. In particular, the drag is obtained up to O(R2 In R), where R is the Reynolds number.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 56 , Issue 1 , 14 November 1972 , pp. 61 - 71
Copyright
© 1972 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.)

Article purchase

Temporarily unavailable

References

Abramowitz, M. & Stegun, I. A. 1964 Handbookof Mathematical Functions. Washington: U.S. Government Printing Office.
Chester, W. & Breach, D. R. 1969 J. Pluid Mech. 37, 751.
Gautesen, A. K. & Lin, S. P. 1971 Siam J. of Appl. Math. 21, 469.
Lighthill, M. J. 1952 Commun. Pure Appl. Math. 5, 109.
Lagerstrom, P. A. & Cole, J. D. 1955 J. Ratl. Mech. & Anal. 4, 817.
Proudman, I. & Pearson, J. R. A. 1957 J. Pluid Mech. 2, 237.