Journal of Fluid Mechanics

Papers

Unsteady deformations of a free liquid surface caused by radiation pressure

B. ISSENMANNa1, R. WUNENBURGERa1 c1, H. CHRAIBIa1, M. GANDILa1 and J.-P. DELVILLEa1

a1 Université Bordeaux, Laboratoire Ondes et Matière d'Aquitaine (LOMA), UMR 5798, F-33400 Talence, France CNRS, LOMA, UMR 5798, F-33400 Talence, France

Abstract

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 of optically measuring the time-dependent curvature of the tip of a hump created at a liquid surface by the radiation pressure of an acoustic pulse. Finally, we present a numerical scheme simulating the behaviour of a fluid–fluid interface subjected to a time-dependent radiation pressure and show its accuracy by comparing the numerical predictions with the analytical model in the intermediate and strongly damped regimes.

(Received October 04 2010)

(Revised March 18 2011)

(Accepted May 17 2011)

(Online publication July 26 2011)

Key words:

  • boundary integral methods;
  • capillary waves;
  • low-Reynolds-number flows

Correspondence:

c1 Email address for correspondence: r.wunenburger@loma.u-bordeaux1.fr

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