On evolution equations for thin films flowing down solid surfaces

DOI10.1063/1.858895zbMath0797.76033OpenAlexW1974610777MaRDI QIDQ4294825

Alexander L. Frenkel

Publication date: 18 May 1994

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.858895

zbMATH Keywords

cylinderBenney equationlong-wave perturbation approachwavy free-surface flow

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Nonlinear effects in hydrodynamic stability (76E30)

Related Items (4)

Interactions of coherent structures in a film flow: Simulations of a highly nonlinear evolution equation ⋮ Flow on the surface of sloped rotating cylinder ⋮ Liquid film dynamics in horizontal and tilted tubes: Dry spots and sliding drops ⋮ Modeling and experimental studies of wave evolution on free falling viscous films

Cites Work

• On solitary waves running down an inclined plane
• Long-wave instabilities of heated falling films: two-dimensional theory of uniform layers
• Nonlinear saturation of Rayleigh–Taylor instability in thin films
• Nonlinear adjustment of a thin annular film of viscous fluid surrounding a thread of another within a circular cylindrical pipe
• Long Waves on Liquid Films
• Occurrence of Finite-Amplitude Surface Waves on Falling Liquid Films

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