Nonlinear Dynamics and Wall Touch-Up in Unstably Stratified Multilayer Flows in Horizontal Channels under the Action of Electric Fields

DOI10.1137/140968070zbMath1328.76057OpenAlexW2056037963MaRDI QIDQ5265012

Demetrios T. Papageorgiou, Lyudmyla L. Barannyk, Peter G. Petropoulos, Jean-Marc Vanden-Broeck

Publication date: 21 July 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/9b4660d0c895c7c5b40dde96013a3487c6cbc276

zbMATH Keywords

asymptotic behavior electric fields Fourier analysis Rayleigh-Taylor instability similarity solutions singularity formation finite time singularity touch-up singularity

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Dimensional analysis and similarity applied to problems in fluid mechanics (76M55) Spectral methods applied to problems in fluid mechanics (76M22) Interfacial stability and instability in hydrodynamic stability (76E17) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)

Related Items (6)

On the nonlinear behaviour of the Rayleigh–Taylor instability with a tangential electric field for inviscid and perfect dielectric fluids ⋮ Interfacial electrohydrodynamic solitary waves under horizontal electric fields ⋮ Multi-layer flows of immiscible fractional Maxwell fluids with generalized thermal flux ⋮ Two-layer electrified pressure-driven flow in topographically structured channels ⋮ On the effect of electrostatic surface forces on dielectric falling films ⋮ Nonlinear dynamics of unstably stratified two-layer shear flow in a horizontal channel

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