Liquid jet and droplet deformation induced by non-uniform acoustic radiation pressure distribution
Rafael Herrera Leclerc  1@  , Jean-Bernard Blaisot  1@  , Christine Richard  2@  , Françoise Baillot  1@  
1 : Complexe de recherche interprofessionnel en aérothermochimie
Centre National de la Recherche Scientifique : UMR6614, Institut national des sciences appliquées Rouen Normandie, Université de Rouen Normandie
Site Universitaire du Madrillet, BP 12, 76801 St Etienne du Rouvray Cedex -  France
2 : Laboratoire de Mathématiques Raphaël Salem
Université de Rouen Normandie, Centre National de la Recherche Scientifique : UMR6085
Avenue de l'université BP 12 76801 Saint-Étienne-du-Rouvray -  France

The present work focuses on non linear acoustic effects on an elliptic cylinder or an ellipsoid. These effects are
encountered in acoustic levitation, ultrasonic standing wave atomization or two-phase flow combustion instabilities.
Theoretical approaches mainly paid attention on the total radiation force, but a modeling of the distribution of
acoustic radiation pressure around the object is needed to predict liquid object deformation. In the present study,
a semi-analytical model is presented in order to compute the local radiation pressure as the only reason for liquid
jet or droplet deformation. The method used here imposes an incident field to, a posteriori, compute the scattered
field as a function of the object geometrical properties. A partial wave decomposition(PWD) model is developed to
express incident and scattered fields by and immovable object with rigid boundary conditions. Radiation pressure is
computed for progressive and standing wave fields. Validation of our method is done by comparing with the radiation
force results from the literature. Results show that the larger the deformation, the higher the acoustic effects in a
direction perpendicular to the acoustic wave axis.

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