Capillary instability of thin liquid film on a cylinder

DOI10.1063/1.858792zbMath0766.76045OpenAlexW2066387405MaRDI QIDQ4036334

Alexander Oron, Alexander L. Yarin, Philip S. Rosenau

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1063/1.858792

zbMATH Keywords

transport equationsintegral approachlinearly unstable modesspatiotemporal evolutionformation of satellite dropshigh-temperature superconductor wire fabrication

Mathematics Subject Classification ID

Lubrication theory (76D08) Capillarity (surface tension) for incompressible viscous fluids (76D45) Hydrodynamic stability (76E99)

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Group classification, symmetry reductions and exact solutions of the time-fractional generalized thin film equation with variable coefficients ⋮ Group properties and invariant solutions of a sixth-order thin film equation in viscous fluid ⋮ Nonlinear dynamics of a thin liquid film on an axially oscillating cylindrical surface ⋮ Instability of a viscous liquid coating a cylindrical fibre ⋮ Crossover between surface tension and gravity-driven instabilities of a thin fluid layer on a horizontal cylinder ⋮ Film evolution of a spherical soap bubble

Cites Work

• On the dynamical equations for liquid jets
• Rayleigh–Taylor instability in thin viscous films
• One‐Dimensional Liquid Fibers
• The instability of an annular thread of fluid
• The dynamics of thin liquid jets in air
• Nonlinear adjustment of a thin annular film of viscous fluid surrounding a thread of another within a circular cylindrical pipe
• Nonlinear evolution and breaking of interfacial Rayleigh–Taylor waves
• The nonlinear growth of surface-tension-driven instabilities of a thin annular film