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Drag on a sphere moving slowly in a rotating viscous fluid

Published online by Cambridge University Press:  20 April 2006

A. J. Weisenborn
A. J. Weisenborn
Affiliation:
Instituut-Lorentz, Rijksuniversiteit te Leiden, Nieuwsteeg 18. 2311 SB Leiden, The Netherlands
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Abstract

The mobility of a sphere moving slowly along the axis of a rotating, viscous, imcompressible fluid has been calculated for zero Reynolds number R and values of the Taylor number T ranging from zero to infinity, using a method of induced forces. For small values of T the mobility has been expanded in a power series in T½; the first seven terms of this series have been evaluated. Very good agreement is found with experimental data, which are only available for T [les ] 0.75.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 153 , April 1985 , pp. 215 - 227
Copyright
© 1985 Cambridge University Press

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References

Abramowitz, M. & Stegun, I. A. 1968 Handbook of Mathematical Functions, 10.1. Dover.
Childress, S. 1964 J. Fluid Mech. 20, 305.
Dennis, S. C. R., Ingham, D. B. & Singh, S. N. 1982 J. Fluid Mech. 117, 251.
Grace, S. F. 1926 Proc. R. Soc. Lond. A 113, 46.
Hess, S. & Koehler, W. 1980 Formeln zur Tensor-Rechnung. Palm und Enke.
Hocking, L. M., Moore, D. W. & Walton, I. C. 1979 J. Fluid Mech., 90, 781.
Jackson, J. D. 1975 Classical Electrodynamics. Wiley.
Maxworthy, T. 1965 J. Fluid Mech. 23, 373.
Maxworthy, T. 1970 J. Fluid Mech. 40, 453.
Mazur, P. 1982 Physica 110 A, 128.
Mazur, P. & Van Saarloos, W. 1982 Physica 115 A, 21.
Mazur, P. & Weisenborn, A. J. 1984 Physica 123 A, 209.
Moore, D. W. & Saffman, P. G. 1969 Phil. Trans. R. Soc. Lond. A 264, 597.
Morrison, J. A. & Morgan, G. W. 1956 Div. Appl. Maths, Brown University, Rep. 56207/8.
Proudman, J. 1916 Proc. R. Soc. Lond. A 92, 408.
Stewartson, K. 1952 Proc. Camb. Phil. Soc. 48, 168.
Taylor, G. I. 1922 Proc. R. Soc. Lond. A 102, 180.
Weisenborn, A. J. & Mazur, P. 1984 Physica 123 A, 191.
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