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Unsteady deformations of a free liquid surface caused by radiation pressure

Published online by Cambridge University Press:  26 July 2011

B. ISSENMANN ,
R. WUNENBURGER ,
H. CHRAIBI ,
M. GANDIL  and
J.-P. DELVILLE
B. ISSENMANN
Affiliation:
Université Bordeaux, Laboratoire Ondes et Matière d'Aquitaine (LOMA), UMR 5798, F-33400 Talence, FranceCNRS, LOMA, UMR 5798, F-33400 Talence, France
R. WUNENBURGER*
Affiliation:
Université Bordeaux, Laboratoire Ondes et Matière d'Aquitaine (LOMA), UMR 5798, F-33400 Talence, FranceCNRS, LOMA, UMR 5798, F-33400 Talence, France
H. CHRAIBI
Affiliation:
Université Bordeaux, Laboratoire Ondes et Matière d'Aquitaine (LOMA), UMR 5798, F-33400 Talence, FranceCNRS, LOMA, UMR 5798, F-33400 Talence, France
M. GANDIL
Affiliation:
Université Bordeaux, Laboratoire Ondes et Matière d'Aquitaine (LOMA), UMR 5798, F-33400 Talence, FranceCNRS, LOMA, UMR 5798, F-33400 Talence, France
J.-P. DELVILLE
Affiliation:
Université Bordeaux, Laboratoire Ondes et Matière d'Aquitaine (LOMA), UMR 5798, F-33400 Talence, FranceCNRS, LOMA, UMR 5798, F-33400 Talence, France
*
†Email address for correspondence: [email protected]
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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.

JFM classification

Low-Reynolds-number flows: Boundary integral methods Waves/Free-surface Flows: Capillary waves Low-Reynolds-number flows: Low-Reynolds-number flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 682 , 10 September 2011 , pp. 460 - 490
Copyright
Copyright © Cambridge University Press 2011

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