2017/10/10 by Julien Philippi, Arnaud Antkowiak, Pierre-Yves Lagrée · 2 citations
Physics and Astronomy · #physics.flu-dyn
paper · pdf · doi:10.1016/j.euromechflu.2017.10.005
published in European Journal of Mechanics - B/Fluids 67, 417-426 (Elsevier BV) · 11 pages, 14 figures, Accepted for publication in European Journal of Mechanics - B/Fluids
arxiv created 2017/10/10 · crossref created 2017/11/10 · arxiv updated 2017/11/22 · crossref issued 2018/01/01 · crossref published 2018/01/01 · crossref published-print 2018/01/01 · crossref deposited 2018/08/26 · crossref indexed 2026/08/07
Liquid impact problems for hemispherical fluid domain are considered. By using the concept of pressure impulse we show that the solution of the flow induced by the impact is reduced to the derivation of Laplace's equation in spherical coordinates with Dirichlet and Neumann boundary conditions. The structure of the flow at the impact moment is deduced from the spherical harmonics representation of the solution. In particular we show that the slip velocity has a logarithmic singularity at the contact line. The theoretical predictions are in very good agreement both qualitatively and quantitatively with the first time step of a numerical simulation with a Navier-Stokes solver named Gerris.