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Impact of two bodies one of which is covered by a thin layer of liquid

Published online by Cambridge University Press:  26 April 2006

Alexander Korobkin
Alexander Korobkin
Affiliation:
Lavrentiev Institute of Hydrodynamics, Novosibirsk 630090, Russia
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Abstract

The paper de als with the plane unsteady problem of the collision of two rigid undeformable and shallow surfaces, one of which is covered by a thin layer of an ideal incompressible liquid. At the initial instant of time, a dry surface touches the liquid free boundary at a single point and then starts to penetrate the liquid layer. The flow region is divided into four parts: the region beneath the entering surface, the jet root, the spray jet and outer region. Inside each of those subdomains the flow patterns have their own peculiarities and are analysed separately. The matching conditions allow us to obtain the uniformly valid asymptotic solution of the original problem. The relative body motion and the characteristics of the spray jets generated under the impact are determined. The condition on the shapes of the bodies, under which the velocity of the impact of the rigid surfaces is non-zero, is derived.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 300 , 10 October 1995 , pp. 43 - 58
Copyright
© 1995 Cambridge University Press

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References

Galanin, A. V. & Saikin, S. S. 1981 Entry of blunt bodies into a liquid of finite depth. In Hydrodynamics of High-Speed Flows, pp. 36–46. University of Cheboksary.
Harbitz, C. B., Pedersen, G. & Gjevik, B. 1993 Numerical simulations of large water waves due to landslides. J. Hydraul. Engng 119, 1325–1342.Google Scholar
Howison, S. D., Ockendon, J. R. & Wilson, S. K. 1991 Incompressible water-entery problems at small deadrise angles. J. Fluid Mech. 222, 215–230.Google Scholar
Iwanowski, B. & Yao, T. 1992 Numerical simulation of air flow beneath a rigid body falling on a deformable surface. J. Soc. Naval. Archit. Japan 172, 465–475.Google Scholar
Iwanowski, B. & Yao, T. 1993 Analysis of horizontal water impact of a rigid body with the air cushion effect. J. Soc. Naval Archit. Japan 173, 293–302.Google Scholar
Jösrstad, F. 1968 Waves generated by landslides in Norwegian fjords and lakes. Norwegian Geotechnical Institute, Oslo, Norway, Publication 79, pp. 13–31.
Korobkin, A. A. 1992 Blunt-body impact on a compressible liquid surface. J. Fluid Mech. 244, 437–453.Google Scholar
Korobkin, A. A. 1994 Blunt-body impact on the free surface of a compressible liquid. J. Fluid Mech. 263, 319–342.Google Scholar
Korobkin, A. A. & Pukhnachov, V. V. 1988 Initial stage of water impact. Ann. Rev. Fluid Mech. 20, 159–185.Google Scholar
Tuck, E. O. & Dixon, A. 1989 Surf-skimmer planing hydrodynamics. J. Fluid Mech. 205, 581–592.Google Scholar
Wagner, H. 1932 Uber Stoss- und Gleitvorgange an der Oberflache von Flussigkeiten. Z. Angew. Math. Mech. 12, 193–215.Google Scholar