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arxiv 2408.11129 v2 pith:VZF6LC5Y submitted 2024-08-20 physics.flu-dyn

The effect of normal electric fields on the Stokes drift

classification physics.flu-dyn
keywords driftstokeswavebeneathelectricflowsparticleperiodic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In periodic wave motion, particles beneath the wave undergo a drift in the direction of wave propagation, a phenomenon known as Stokes drift. While extensive research has been conducted on Stokes drift in water wave flows, its counterpart in electrohydrodynamic flows remains relatively unexplored. Addressing this gap, we investigate Stokes drift beneath periodic traveling irrotational waves on a dielectric fluid under the effect of normal electric fields. Through numerical simulations utilizing conformal mapping, we compute particle trajectories and analyze the resultant Stokes drift behaviors beneath periodic traveling waves. Our findings indicate that variations in the electric field impact particle velocities while maintaining trajectory shapes. Moreover, the kinetic energy associated with a particle depends on its depth location and is a non-decreasing convex function in a laboratory frame and a constant in a moving frame, as observed in water wave flows.

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