Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-18T21:11:39.206Z Has data issue: false hasContentIssue false
  • English
  • Français

Blunt-body impact on a compressible liquid surface

Published online by Cambridge University Press:  26 April 2006

Alexander Korobkin
Alexander Korobkin
Affiliation:
Department of Mechanics, Royal Institute of Technology, S-100 44 Stockholm, Sweden Permanent address: Lavrentyev Institute of Hydrodynamics, 630090 Novosibirsk, USSR.
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper we are concerned with the unsteady plane liquid motion due to the penetration of a blunt undeformable contour through the free surface. Initially the liquid is at rest, and the contour touches its free surface at a single point. At the initial stage of the process the liquid motion is described within the framework of the acoustic approximation. It is known that, just behind the shock front which is generated under the impact, the liquid motion does not depend on the presence of the free surface for all time. The pressure distribution and the velocities of liquid particles inside this region are calculated analytically for an arbitrary contour. It is shown that liquid motion close to the contact points just before the shock wave escapes onto the free surface is self-similar; the singularity of the pressure is analysed. The focusing of the shock wave generated by the impact of a body with a shallow depression in the front surface is discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 244 , November 1992 , pp. 437 - 453
Copyright
© 1992 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bowden, F. P. & Field J. E. 1964 The brittle fracture of solids by liquid impact, by solid impact, and by shock Proc. R. Soc. Lond. A 282, 331–352.Google Scholar
Dear, J. P. & Field J. E. 1988 High-speed photography of surface geometry efforts in liquid/solid impact. J. Appl. Phys. 63, 1015–1021.Google Scholar
Gronig H. 1989 Past, present and future of shock focusing research. In Intl Workshop on Shock Wave Focusing (ed. K. Takayama), pp. 1–37. Sendai, Japan.
Korobkin A. A. 1990 Acoustic approximation in the problem of blunt contour penetration in liquid. Meeting Record, European Mechanics Colloquium (265) Transient Effects in Cavitation and High Speed Liquid Impact (ed. J. E. Field), p. (4) 1. Cambridge, Cavendish Laboratories.
Korobkin, A. A. & Pukhnachov V. V. 1985 Initial asymptotic in contact hydrodynamics problems. In 4th Intl Conf. Numer. Ship Hydrodyn. (ed. J. H. McCarthy), pp. 138–151. Bethesda, MD: David W. Taylor Naval Ship Res. Dev. Center.
Korobkin, A. A. & Pukhnachov V. V. 1988 Initial stage of water impact. Ann. Rev. Fluid Mech. 20, 159–185.Google Scholar
Lesser M. B. 1981 Analytic solutions of liquid-drop impact problems Proc. R. Soc. Lond. A 377, 289–308.Google Scholar
Lesser, M. B. & Field J. E. 1983 The impact of compressible liquids. Ann. Rev. Fluid Mech. 15, 97–122.Google Scholar
Pukhnachov V. V. 1979 Linear approximation in the problem on a blunt body entry in water. Din. Sploshnoi Sredy 38, 143–150.Google Scholar
Rochester M. C. 1979 The impact of a liquid drop and the effect of liquid properties on erosion. PhD thesis, University of Cambridge.
Ryzhov, O. S. & Christianovich S. A. 1958 Nonlinear reflection of the weak shock waves. Appl. Math. Mech. XXII, No. 5, 586–599.Google Scholar
Shamgunov Sh. D. 1966 Impact of an arbitrary blunt body of revolution on a surface of semi-space occupied with compressible fluid. In Materialy Vsesoyuznogo Simposiuma po Rasprostraneniu Uprugoplasticheskikh Voln v Sploshnoi Srede (ed. Kh. A. Rakhmatulin), pp. 406–423. Baku: Izd. Akad. Nauk AZSSR.
Sichel M. 1963 Structure of weak non-Hugoniot shocks Phys. Fluids 6, 653–662.Google Scholar