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Item type:Publication, Nonlinear wave dynamics under the presence of a strong horizontal electric field and a bathymetry(Elsevier BV, 2024-12-13)In this letter, we explore free-surface flow of an ideal dielectric liquid subjected to a strong tangential electric field in the presence of variable bottom topographies. Analytically, we demonstrate that nonlinear waves of arbitrary shape can propagate at a critical speed without distortion, provided they are in resonance with a moving localized obstacle at the bottom. Numerical solutions of the full model for various obstacle types yield two key results: (i) For localized obstacles, a wave forms above the obstacle, then splits into symmetric waves traveling in opposite directions at the same speed and a stationary disturbance formed due to electric field inhomogeneities. (ii) Periodic spatial bathymetries induce periodic motion in both space and time. Additionally, considering traveling solitary waves, we show that a small dispersive tail arises when they interact with the bathymetry.1 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Flow structure beneath periodic waves with constant vorticity under strong horizontal electric fields(Elsevier B.V., 2024-12-01)While several articles have been written on Electrohydrodynamics (EHD) flows or flows with constant vorticity separately, little is known about the extent to which the combined effects of EHD and constant vorticity affect the flow. This study aims to shed light on this topic by investigating the combined influence of a horizontal electric field and constant vorticity on the free surface and the emergence of stagnation points. Using the Euler equations framework, we employ conformal mapping and pseudo-spectral numerical methods. Our findings reveal that increasing the electric field intensity eliminates stagnation points and smoothen the wave profile. This implies that a horizontal electric field acts as a mechanism for the elimination of stagnation points within the fluid body. Besides, we have identified regimes where three stagnation points appear on the free surface — something that cannot occur in purely gravity rotational waves.