Creeping flow around a deforming sphere

Author:

Lin S. P.,Gautesen A. K.

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.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference6 articles.

1. Gautesen, A. K. & Lin, S. P. 1971 Siam J. of Appl. Math. 21,469.

2. Proudman, I. & Pearson, J. R. A. 1957 J. Pluid Mech. 2,237.

3. Lagerstrom, P. A. & Cole, J. D. 1955 J. Ratl. Mech. & Anal. 4,817.

4. Chester, W. & Breach, D. R. 1969 J. Pluid Mech. 37,751.

5. Abramowitz, M. & Stegun, I. A. 1964 Handbookof Mathematical Functions.Washington:U.S. Government Printing Office.

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