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An experimental determination of the slow motion of a sphere in a rotating, viscous fluid

Published online by Cambridge University Press:  28 March 2006

T. Maxworthy*
Affiliation:
Jet Propulsion Laboratory, California Institute of Technology

Extract

The drag of a sphere has been measured as it moves along the axis of a rotating, viscous fluid. Rotation has been found to modify the classical low-Reynolds-number flow so that the drag is increased and the effects of finite Reynolds number, R, and of wall proximity are reduced as the rotation parameter, the Taylor number T, increases. The results confirm the theory of Childress (1963, 1964) when both Reynolds number and Taylor number are small. The rate at which the sphere rotates with respect to the rotating fluid frame has also been measured and was found to be less than the values calculated by Childress (1964) for small T and R, but to approach the theoretical values in a reasonable way.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1965

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References

Childress, W. S. 1963 Rotating viscous flow past an axially symmetric solid. Space Programs Summary 37–18, vol. IV, p. 46. Jet Propulsion Laboratory, Pasadena, California.Google Scholar
Childress, W. S. 1964 The slow motion of a sphere in a rotating, viscous fluid. J. Fluid Mech. 20, 305.CrossRefGoogle Scholar
Faxen, H. 1922 Dissertation. Uppsala University, Sweden.Google Scholar
Goldberg, A. & Jarvinen, P. O. 1964 AVCO Everett Research Laboratory Research Note no. 415.Google Scholar
Maxworthy, T. 1965 Accurate measurements of sphere drag at low Reynolds numbers. J. Fluid Mech. 23, 369.CrossRefGoogle Scholar
Squire, H. B. 1956 Rotating Fluids. Surveys in Mechanics, p. 139. Ed. Batchelor, G. K. & Davies, R. M.. Cambridge University Press.Google Scholar
Taylor, G. I. 1923 The motion of a sphere in a rotating fluid. Proc. Roy. Soc. A, 102, 180.Google Scholar