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Boundary effects in Stokes flow

Published online by Cambridge University Press:  28 March 2006

W. E. Williams
Affiliation:
Department of Applied Mathematics, The University of Liverpool Present address: Department of Mathematics, Battersea College of Technology, London, S.W. 11.

Abstract

An integral-equation approach is used to calculate the first-order effect of the proximity of a boundary on the Stokes resistance of a body. It is shown, that this approach gives both a simple derivation of the modified Stokes resistance and a method of investigating the accuracy of the final result. The problem of two settling particles is also considered briefly.

Type
Research Article
Copyright
© 1966 Cambridge University Press

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References

Brenner, H. 1962 J. Fluid Mech. 12, 3.
Brenner, H. 1963 J. Chem. Engng Sci. 18, 1.
Brenner, H. 1964 J. Fluid Mech. 18, 14.
Brenner, H. & Happel, J. 1958 J. Fluid Mech. 4, 19.
Burgers, J. M. 1942 Proc. K. Ned. Akad. Wet. 43, 307, 425, 625.
Kynch, G. J. 1959 J. Fluid Mech. 5, 19.
Oseen, C. W. 1927 Neuere Methoden und Ergebnisse in der Hydrodynamik, 3. Leipzig Akademische Verlagsgesellschaft.
Smoluchowski, M. A. 1911 Bull. Acad. Sci. Cracow, 1 a, 28.
Williams, W. E. 1964 Proc. Edinb. Math. Soc. 14, 8.