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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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References

Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
Greenhow, M. 1988 Water-entry and -exit of a horizontal circular cylinder. Appl. Ocean Res. 10, 191–198.Google Scholar
Greenhow, M. 1993 A complex variable method for the floating-body boundary-value problem. J. Comput. Appl. Maths 46, 115–128.Google Scholar
Greenhow, M. & Li, Y. 1987 Added masses for circular cylinders near or penetrating fluid boundaries – review, extension and application to water-entry, -exit and slamming. Ocean Engng 14, 325–348.Google Scholar
Greenhow, M. & Lin, W.-M. 1983 Nonlinear free surface effects: experiments and theory. Rep. 83–19. MIT, Dept. of Ocean Engineering.
Haussling, H. J. & Coleman, R. M. 1979 Nonlinear water waves generated by an accelerated circular cylinder. J. Fluid Mech. 92, 767–781.Google Scholar
Havelock, T. H. 1949 The wave resistance of a cylinder started from rest. Q. J. Mech. Appl. Maths 2, 325–334.Google Scholar
Milne-Thomson, L. M. 1968 Theoretical Hydrodynamics. MacMillan.
Peregrine, D. H. 1972 Flow due to a vertical plate moving in a channel. Unpublished note.
Telste, J. G. 1987 Inviscid flow about a cylinder rising to a free surface. J. Fluid Mech. 182, 149–168.Google Scholar
Terent'ev, A. G. 1991 Nonstationary motion of bodies in a fluid. Proc. Steklov Inst. Maths 186, 211–221.Google Scholar
Tuck, E. O. 1965 The effect of nonlinearity on flow past a submerged cylinder. J. Fluid Mech. 22, 401–414.Google Scholar
Tyvand, P. A. & Miloh, T. 1995 Free-surface flow due to impulsive motion of a submerged circular cylinder. J. Fluid Mech. 286, 67–101 (referred to herein as TM).Google Scholar
Venkatesan, S. K. 1985 Added mass of two cylinders. J. Ship Res. 29, 234–240.Google Scholar