Article Dans Une Revue Physics of Fluids Année : 2025

Impact of an oblique electric field on Rayleigh–Taylor instability in perfect and leaky dielectric fluids

Résumé

In this study, we present a comprehensive analysis of Rayleigh-Taylor instability (RTI) in systems involving perfect and leaky dielectric Newtonian fluids under the influence of an oblique electric field. Using linear stability analysis and mathematical theorems, we determine the number and nature of the solutions with respect to the dispersion relation. Our findings demonstrate that the RTI can be effectively controlled by applying a uniform electric field that is not necessarily aligned with the principal axes of the interface that separates the two fluids. In the leaky dielectric model, the orientation of the electric field can be adjusted to either suppress or enhance the instability, depending on the system parameters such as the permittivity and conductivity ratios of the two fluids. In particular, when the permittivity and conductivity ratios coincide, the leaky dielectric model seamlessly reduces to the perfect dielectric model. Moreover, for the perfect dielectric model, we confirmed that an oblique electric field can stabilize the interface.

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Dates et versions

hal-05219630 , version 1 (22-08-2025)

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Hadi Abou Daher, Marie-Charlotte Renoult, Mehran Vakilha, Mostafa Safdari Shadloo. Impact of an oblique electric field on Rayleigh–Taylor instability in perfect and leaky dielectric fluids. Physics of Fluids, 2025, 37, ⟨10.1063/5.0276160⟩. ⟨hal-05219630⟩
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