Shock-like free-surface perturbations in low-surface-tension, viscous, thin-film flow exterior to a rotating cylinder

DOI10.1098/rspa.2004.1327zbMath1329.76023OpenAlexW1976822071MaRDI QIDQ3024595

Paul D. Metcalfe, E. J. Hinch, Mark A. Kelmanson

Publication date: 1 July 2005

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2004.1327

zbMATH Keywords

asymptotic expansions computer algebra lubrication approximation free-surface flow viscous fluid mechanics

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Thin fluid films (76A20) Lubrication theory (76D08) Shock waves and blast waves in fluid mechanics (76L05) Interfacial stability and instability in hydrodynamic stability (76E17)

Related Items (11)

Computer-algebra multiple-timescale method for spatially periodic thin-film viscous-flow problems ⋮ Inertially induced cyclic solutions in thin-film free-surface flows ⋮ Pseudo-three-timescale approximation of exponentially modulated free-surface waves ⋮ Multiple-timescale asymptotic analysis of transient coating flows ⋮ Coating flow of viscous Newtonian liquids on a rotating vertical disk ⋮ On inertial effects in the Moffatt–Pukhnachov coating-flow problem ⋮ Reduced-order modelling of thick inertial flows around rotating cylinders ⋮ On rimming flows with shocks ⋮ Stability analysis of non-Newtonian rimming flow ⋮ Coating flow on a rotating cylinder in the presence of an irrotational airflow with circulation ⋮ On the approach to the critical solution in leading order thin-film coating and rimming flow

Uses Software

FFTW

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