Hunt, MJ; Vanden-Broeck, J-M; (2015) A study of the effects of electric field on two-dimensional inviscid nonlinear free surface flows generated by moving disturbances. Journal of Engineering Mathematics , 92 (1) pp. 1-13. 10.1007/s10665-014-9766-6.

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Abstract

Two-dimensional free surface flows generated by a moving disturbance are considered. The flows are assumed to be potential. The effects of electric field, gravity and surface tension are included in the dynamic boundary condition. The disturbance is chosen to be a distribution of pressure moving at a constant velocity. Both linear and nonlinear results are presented. For some values of the parameters, the linear theory predicts unbounded displacements of the free surface. It is shown that this nonuniformity is removed by developing a weakly nonlinear theory. There are then solutions which are perturbations of a uniform stream and others which are perturbations of solitary waves with decaying tails.

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