The development of nonlinear waves on the surface of a horizontally rotating thin liquid film

DOI10.1017/S0022112087002921zbMath0642.76047OpenAlexW1989558321MaRDI QIDQ3783707

David John Needham, John H. Merkin

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1017/s0022112087002921

zbMATH Keywords

asymptotic structuremethod of matched asymptotic expansionaxisymmetric thin liquid film formationevolution of localized disturbanceshorizontally spinning disksteady film

Mathematics Subject Classification ID

Lubrication theory (76D08) General theory of rotating fluids (76U05) Waves for incompressible viscous fluids (76D33)

Related Items (7)

A characteristic based numerical method with tracking for nonlinear wave equations ⋮ Self-similar solutions of a generalized Burgers equation with nonlinear damping. ⋮ Laminar spread of a circular liquid jet impinging axially on a rotating disc ⋮ Evolution scales for wave regimes in liquid film flow over a spinning disk ⋮ Steady circular hydraulic jump on a rotating disk ⋮ Stationary spiral waves in film flow over a spinning disk ⋮ Flow of a thin magnetic liquid layer in a magnetic field

Cites Work

• A linear analysis of steady surface waves on a viscous liquid flowing down an inclined plane
• On steady long waves on a viscous liquid at small Reynolds number
• Long gravity waves on a viscous fluid flowing down an inclined plane
• Wave formation in laminar flow down an inclined plane
• Long Waves on Liquid Films
• Occurrence of Finite-Amplitude Surface Waves on Falling Liquid Films

This page was built for publication: The development of nonlinear waves on the surface of a horizontally rotating thin liquid film