Steady rimming flows with surface tension

DOI10.1017/S0022112007009585zbMath1133.76004OpenAlexW2140939998MaRDI QIDQ5458040

E. S. Benilov, M. S. Benilov, Natalia Kopteva

Publication date: 10 April 2008

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112007009585

zbMATH Keywords

lubrication approximationmethod of matched asymptotics

Mathematics Subject Classification ID

Thin fluid films (76A20) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) General theory of rotating fluids (76U05) Capillarity (surface tension) for incompressible viscous fluids (76D45)

Related Items (17)

Convergence to Equilibrium for a Thin-Film Equation on a Cylindrical Surface ⋮ Leidenfrost levitation of a spherical particle above a liquid bath: Evolution of the vapour-film morphology with particle size ⋮ A thin drop sliding down an inclined plate ⋮ An algorithm for autonomously plotting solution sets in the presence of turning points ⋮ Inertial effects at moderate Reynolds number in thin-film rimming flows driven by surface shear ⋮ Axisymmetric evolution of gravity-driven thin films on a small sphere ⋮ The effect of mass transfer on steady two-dimensional rimming flow ⋮ On rimming flows with shocks ⋮ Non-isothermal rimming flow with the effects of surface shear and droplet impact ⋮ On liquid films on an inclined plate ⋮ Dynamics and equilibria of thin viscous coating films on a rotating sphere ⋮ Existence and stability of regularized shock solutions, with applications to rimming flows ⋮ Initial development of a free-surface wall jet at moderate Reynolds number ⋮ On the approach to the critical solution in leading order thin-film coating and rimming flow ⋮ On the depinning of a drop of partially wetting liquid on a rotating cylinder ⋮ On the multiple solutions of coating and rimming flows on rotating cylinders ⋮ Non-isothermal flow of a thin film of fluid with temperature-dependent viscosity on a stationary horizontal cylinder

Cites Work

• The drag-out problem in film coating theory
• The entry of a falling film into a pool and the air-entrainment problem
• Inertial instability of a liquid film inside a rotating horizontal cylinder
• Free-surface cusps associated with flow at low Reynolds number
• The effect of surface tension on rimming flows in a partially filled rotating cylinder

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