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Free-surface flow generated by a small submerged circular cylinder starting from rest

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 small circular cylinder submerged horizontally below a free surface is studied analytically using a small-time expansion. The cylinder is considered small if the ratio between its radius and initial submergence depth is much smaller than one. The surface elevation is calculated up to third order. The hydrodynamic force on the small cylinder is also discussed. Certain inconsistencies in our small-cylinder approximation (assuming locally uniform flow around the cylinder) are found in the force prediction. The present work is an accompanying paper to Tyvand & Miloh (1995), where the same problem is studied for arbitrary radius versus submergence depth.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 286 , 10 March 1995 , pp. 103 - 116
Copyright
© 1995 Cambridge University Press

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