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Item type:Publication, The effect of normal electric fields on the Stokes drift(American Institute of Physics Inc., 2026-01-01)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 nondecreasing convex function in a fixed frame and a constant in a moving frame, as observed in water wave flows. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, A Numerical Investigation of the Whitham Equation for Solitary Waves Propagating on Conducting Flows(Oxford University Press, 2026-11-01)Summary We introduce the Whitham equation in the context of electrohydrodynamic (EHD) flows, which incorporates the nonlinearity of the Korteweg-de Vries (KdV) and the full linear dispersion relation associated with EHD effects, extending the classical Whitham approach to electrical regimes. This EHD extension will be referred to as the e-Whitham equation. To assess its performance, we conduct numerical simulations comparing the e-Whitham equation to the Korteweg-de Vries-Benjamin-Ono (KdV-BO) across various electric field strengths. We investigate travelling wave profiles, solitary wave collisions, and trapped wave phenomena. The numerical experiments demonstrate strong agreement with asymptotic predictions. The model reduces to the KdV-BO equation in the weakly dispersive regime, confirming its consistency with known asymptotics and ensuring accuracy where asymptotic models are valid. Its main novelty lies in extending the Whitham framework to EHD flows, making it suitable for exploring parameter regimes beyond the reach of KdV-BO.1