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The Quarterly Journal of Mechanics and Applied Mathematics Advance Access published online on September 27, 2007
The Quarterly Journal of Mechanics and Applied Mathematics, doi:10.1093/qjmam/hbm020
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© The author 2007. Published by Oxford University Press; all rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

TWO-DIMENSIONAL LIQUID COLUMN AND LIQUID DROPLET IMPACT ON A SOLID WEDGE

G. X. Wu

( Department of Mechanical Engineering, University College London, Torrington Place, London WC1E 7JE, UK )

< gx_wu{at}meng.ucl.ac.uk>. Cheung Kong and Long Jiang Visiting Professor, College of Shipbuilding College, Harbin Engineering University, Harbin 150001, People's Republic of China

Received 27 June 2007. Revise 1 August 2007. Accepted 2 August 2007.


  Abstract

The hydrodynamic impact due to a two-dimensional (2D) liquid column or a 2D liquid droplet hitting on a solid wedge is analysed. The problem is solved using the complex velocity potential together with the boundary element method. A stretched coordinate system is used, which is defined through the ratio of the normal Cartesian coordinate system to an appropriately chosen time-varying length scale. Numerical simulations are first made for impact by a liquid wedge. The results from the time-domain method are found to be in a good agreement with the similarity solution. Simulations are also made for impact by an elliptic droplet. A condition for bisection of the droplet is introduced, which is found to provide stable and converged results.


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