A pressure impulse theory for hemispherical liquid impact problems - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue European Journal of Mechanics - B/Fluids Année : 2017

A pressure impulse theory for hemispherical liquid impact problems

Julien Philippi
  • Fonction : Auteur
  • PersonId : 973149
Arnaud Antkowiak

Résumé

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.
Fichier principal
Vignette du fichier
Pressure_impulse_theory_hemispherical_liquid_impact_problems.pdf (2.18 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01614343 , version 1 (10-10-2017)

Identifiants

Citer

Julien Philippi, Arnaud Antkowiak, Pierre-Yves Lagrée. A pressure impulse theory for hemispherical liquid impact problems. European Journal of Mechanics - B/Fluids, inPress, 67, pp.417-426. ⟨10.1016/j.euromechflu.2017.10.005⟩. ⟨hal-01614343⟩
73 Consultations
497 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More