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Research Papers: Flows in Complex Systems

Compressible Liquid Impact Against a Rigid Body

[+] Author and Article Information
Arthur Dyment

Emeritus Professor
Laboratoire de Mécanique de Lille,
CNRS UMR 8107,
Université Lille-Nord de France,
Villeneuve d'Ascq 59655, France,
e-mail: arthur.dyment@univ-lille1.fr

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received March 2, 2014; final manuscript received September 13, 2014; published online October 21, 2014. Editor: Malcolm J. Andrews.

J. Fluids Eng 137(3), 031102 (Oct 21, 2014) (5 pages) Paper No: FE-14-1108; doi: 10.1115/1.4028597 History: Received March 02, 2014; Revised September 13, 2014

Impingement of a water jet on a rigid wall and entry of a rigid body into water are subject to common effects of compressibility, occurring during a very short period. Thanks to order of magnitude estimates and application of the fundamental laws of conservation, the extent and the duration of the domain of highly compressed water are obtained in terms of the Mach number and of the curvature at the tip of the jet, or of the projectile. The model works for jet fronts and body profiles of any shape.

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References

Hicks, P., and Purvis, R., 2012, “Compressible Air Cushioning in Liquid–Solid Impacts,” Second International Conference on Violent Flows, D. L.Touzé, N.Grenier, and D.Barcarolo, eds., Editions Ecole Centrale de Nantes, Nantes, France, Sept. 25–27, pp. 281–288.
Lesser, M. B., and Field, J. E., 1983, “The Impact of Compressible Liquids,” Ann. Rev. Fluid Mech., 15(1), pp. 97–122. [CrossRef]
Korobkin, A., and Pukhnachov, V. V., 1988, “Initial Stage of Water Impact,” Ann. Rev. Fluid Mech., 20(1), pp. 159–185. [CrossRef]
Korobkin, A., 1996, “Global Characteristics of Jet Impact,” J. Fluid Mech., 307, pp. 63–84. [CrossRef]
Dyment, A., 2012, “A Model of the Impact of Liquid Jets,” Second International Conference on Violent Flows, D. L.Touzé, N.Grenier, and D.Barcarolo, eds., Editions Ecole Centrale de Nantes, Nantes, France, Sept. 25–27, pp. 194–197.
Paquet, J. B., 1998, “Water Jet Impact on a Rigid Wall,” OMAE 98, Lisboa, Portugal, Technical Report No. 98-89.
Dyment, A., 1986, “Self-Similar Unsteady Boundary Layers,” Acta Mech., 59(1–2), pp. 91–102. [CrossRef]
Aristoff, J., and Bush, J., 2009, “Water Entry of Small Hydrophobic Spheres,” J. Fluid Mech., 619, pp. 47–78. [CrossRef]
Truscott, T. T., Epps, B. P., and Techet, A. H., 2012, “Unsteady Forces on Spheres During Free-Surface Water Entry,” J. Fluid Mech., 704, pp. 173–210. [CrossRef]
Dyment, A., 1995, “Transient Behaviour of a Gaseous Cavity Attached to a Projectile in a Two Phase Flow,” Asymptotic Modeling in Fluid Mechanics, Proceedings of a Symposium Held in Honour of Professor J.P. Guiraud at the Université Pierre et Marie Curie, Vol. 442 of Lecture Notes in Physics, P.Bois, E.Dériat, R.Gatignol, and A.Rigolot, eds., Paris, France, Apr. 20–22, Springer, Berlin, Germany, pp. 205–220.
Gilbarg, D., and Anderson, R., 1948, “Influence of Atmospheric Pressure on the Phenomena Accompanying the Entry of Spheres Into Water,” J. Appl. Phys., 19(2), pp. 127–139. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Impact of a round liquid jet. I: compressed kernel; II: transition zone; OP: osculating parabola.

Grahic Jump Location
Fig. 2

Impact of a flattened liquid jet. I: compressed kernel; II: transition zone.

Grahic Jump Location
Fig. 3

The entry impact phase. I: compressed kernel; II: transition zone.

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