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Flow structure beneath periodic waves with constant vorticity under strong horizontal electric Fields

2024/01/23 by Marcelo V. Flamarion, E. A. Kochurin, Flamarion, M. V. +5 · 1 citation
Biochemistry, Genetics and Molecular Biology · Engineering · #Electrohydrodynamics and Fluid Dynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Geomagnetism and Paleomagnetism Studies #Power Transformer Diagnostics and Insulation

paper · pdf · doi:10.48550/arxiv.2401.12922

openalex publication_date 2024/01/23 · openalex created_date 2024/01/25 · openalex updated_date 2026/07/28

Abstract

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 fill this gap by investigating how a horizontal electric field and constant vorticity jointly influence 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.

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