Hostname: page-component-7dd5485656-dk7s8 Total loading time: 0 Render date: 2025-10-30T11:40:19.213Z Has data issue: false hasContentIssue false
  • English
  • Français

Splash jet generated by collision of twoliquid wedges

Published online by Cambridge University Press:  20 November 2013

Y. A. Semenov ,
G. X. Wu  and
J. M. Oliver
Y. A. Semenov
Affiliation:
Department of Mechanical Engineering, University College London, London WC1E 6BT, UK
G. X. Wu*
Affiliation:
Department of Mechanical Engineering, University College London, London WC1E 6BT, UK
J. M. Oliver
Affiliation:
Mathematical Institute, University of Oxford, 24-29 St Giles, Oxford OX1 3LB, UK
*
†Email address for correspondence: g.wu@ucl.ac.uk
Get access Rights & Permissions [Opens in a new window]

Abstract

A complete nonlinear self-similar solution that characterizes the impact of two liquid wedges symmetric about the velocity direction is obtained assuming the liquid to be ideal and incompressible, with negligible surface tension and gravity effects. Employing the integral hodograph method, analytical expressions for the complex potential and for its derivatives are derived. The boundary value problem is reduced to two integro-differential equations in terms of the velocity modulus and angle to the free surface. Numerical results are presented in a wide range of wedge angles for the free surface shapes, streamline patterns, and pressure distributions. It is found that the splash jet may cause secondary impacts. The regions with and without secondary impacts in the plane of the wedge angles are determined.

JFM classification

Drops and Bubbles: Breakup/coalescence Mathematical Foundations: General fluid mechanics

Information

Type
Papers
Information
Journal of Fluid Mechanics , Volume 737 , 25 December 2013 , pp. 132 - 145
Copyright
©2013 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.)

Article purchase

Temporarily unavailable

References

Davidson, M. R. 2002 Spreading of an inviscid drop impacting on a liquid film. Chem. Engng Sci. 57, 3639–3647.Google Scholar
Howison, S. D., Ockendon, J. R., Oliver, J. M., Purvis, R. & Smith, F. T. 2005 Droplet impact on a thin fluid layer. J. Fluid Mech. 542, 1–23.Google Scholar
Josserand, C. & Zaleski, S. 2003 Droplet splashing on a thin liquid film. Phys. Fluids 15 (6), 1650–1657.Google Scholar
Keller, J. B. & Miksis, M. J 1983 Surface tension driven flows. SIAM J. Appl. Maths 43, 268–277.Google Scholar
Keller, J. B., Milewski, P. A. & Vanden-Broeck, J.-M. 2002 Breaking and merging of liquid sheets and filaments. J. Engng Maths 42, 283–290.CrossRefGoogle Scholar
Kiger, K. T. & Duncan, J. H 2012 Air-entrainment mechanisms in plunging jets and breaking waves. Annu. Rev. Fluid Mech. 44, 563–596.Google Scholar
Landrini, M., Colagrossi, A., Greco, M. & Tulin, M. P. 2007 Gridless simulations of splashing processes and nearshore bore propagation. J. Fluid Mech. 591, 183–213.CrossRefGoogle Scholar
Milne-Thomson, L. M. 1962 Theoretical Hydrodynamics. Macmillan.Google Scholar
Oliver, J. M. 2007 Second-order Wagner theory for two-dimensional water-entry problems at small deadrise angles. J. Fluid Mech. 572, 59–85.Google Scholar
Semenov, Y. A. & Cummings, L. J. 2006 Free boundary Darcy flows with surface tension: analytical and numerical study. Eur. J. Appl. Maths 17, 607–631.Google Scholar
Semenov, Y. A. & Iafrati, A. 2006 On the nonlinear water entry problem of asymmetric wedges. J. Fluid Mech. 547, 231–256.Google Scholar
Semenov, Y. A. & Wu, G. X. 2013 Asymmetric impact between liquid and solid wedges. Proc. R. Soc. A 469, 20120203.Google Scholar
Thoroddsen, S. T. 2002 The ejecta sheet generated by the impact of a drop. J. Fluid Mech. 451, 373–381.Google Scholar
Thoroddsen, S. T., Etoh, T. G. & Takehara, K 2008 High-speed imaging of drops and bubbles. Annu. Rev. Fluid Mech. 40, 257–285.Google Scholar
Weiss, D. A. & Yarin, A. L. 1999 Single drop impact onto liquid films: neck distortion, jetting, tiny bubble entrainment, and crown formation. J. Fluid Mech. 385, 229–254.CrossRefGoogle Scholar
Yarin, A. L. 2006 Drop impact dynamics: splashing, spreading, receding, bouncing. Annu. Rev. Fluid Mech. 38, 159–192.Google Scholar
Zhang, L. V., Toole, J., Fezzaa, K. & Deegan, R. D. 2012 Evolution of the ejecta sheet from the impact of a drop with a deep pool. J. Fluid Mech. 690, 5–15.Google Scholar