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Free-surface flow due to impulsive motion of a submerged circular cylinder

Published online by Cambridge University Press:  26 April 2006

Peder A. Tyvand  and
Touvia Miloh
Peder A. Tyvand
Affiliation:
Department of Agricultural Engineering, Agricultural University of Norway, 1432 Ås, Norway
Touvia Miloh
Affiliation:
Department of Fluid Mechanics and Heat Transfer, Tel Aviv University, Ramat Aviv, Tel Aviv 69 978, Israel
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Abstract

The impulsively starting motion of a circular cylinder submerged horizontally below a free surface is studied analytically using a small-time expansion. The series expansion is taken as far as necessary to include the leading gravitational effects for two cases: constant velocity and constant acceleration, both commencing from rest. The hydrodynamic force on the cylinder and the surface elevation are calculated and expressed in terms of bipolar coordinates. Comparisons are also made with earlier theoretical and experimental work. The theory is valid for arbitrary value of submergence depth to cylinder radius.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 286 , 10 March 1995 , pp. 67 - 101
Copyright
© 1995 Cambridge University Press

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