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Self-similar spin-up and spin-down in a cylinder of small ratio of height to diameter

Published online by Cambridge University Press:  26 April 2006

F. V. Dolzhanskii ,
V. A. Krymov  and
D. Yu. Manin
F. V. Dolzhanskii
Affiliation:
Institute of Atmospheric Physics, 3, Pyzhevsky, Moscow, 109017, USSR
V. A. Krymov
Affiliation:
Institute of Atmospheric Physics, 3, Pyzhevsky, Moscow, 109017, USSR
D. Yu. Manin
Affiliation:
Institute of Atmospheric Physics, 3, Pyzhevsky, Moscow, 109017, USSR
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Abstract

A new approach to the well-known spin-up from rest problem is proposed based on a search for self-similarity. The Wedemeyer (1963) model is first tested for spin-down to rest and then used for spin-up. The general-form solution is found and is shown to tend to a self-similar limiting stage. Experimental results in a cylinder of small height-to-diameter ratio are analysed to demonstrate this self-similarity in a certain range of external parameters.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 234 , January 1992 , pp. 473 - 486
Copyright
© 1992 Cambridge University Press

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