Unsteady deformations of a free liquid surface caused by radiation pressure

Bruno Issenmann (1) , Régis Wunenburger (1) , Hamza Chraibi (1) , Morgane Gandil (1) , Jean-Pierre Delville (1)

1 LOMA - Laboratoire Ondes et Matière d'Aquitaine

We present an analytical model of the time dependent, small amplitude deformation of a free liquid surface caused by a spatially localized, axisymmetric, pulsed or continuous, acoustic or electromagnetic radiation pressure exerted on the surface. By exactly solving the unsteady Stokes equation, we predict the surface dynamics in all dynamic regimes, namely inertial, intermediate and strongly damped regimes. We demonstrate the validity of this model in all dynamic regimes by comparing its prediction to experiments consisting in optically measuring the time dependent curvature of the tip of a hump created at the a liquid surface by the radiation pressure of an acoustic pulse. Finally, we present a numerical scheme simulating the behavior of a °uid-°uid interface submitted to a time- dependent radiation pressure, and we show its accuracy by comparing the numerical predictions with the analytical model in the intermediate and strongly damped regimes.

Domaines: Matière Molle [cond-mat.soft]; Mécanique des fluides [physics.class-ph]; Optique [physics.optics]

Bruno Issenmann, Régis Wunenburger, Hamza Chraibi, Morgane Gandil, Jean-Pierre Delville. Unsteady deformations of a free liquid surface caused by radiation pressure. Journal of Fluid Mechanics, 2011, 682, pp.460-490. ⟨10.1017/jfm.2011.236⟩. ⟨hal-00617568⟩