On the approach to the critical solution in leading order thin-film coating and rimming flow

DOI10.1016/j.aml.2008.07.015zbMath1163.76004OpenAlexW1994459052MaRDI QIDQ1023073

C. H. Tougher, Brian R. Duffy, Stephen K. Wilson

Publication date: 10 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://strathprints.strath.ac.uk/15074/8/Tougher_etal_AML_2009_On_the_approach_to_the_critical_solution_in_leading_order.pdf

zbMATH Keywords

logarithmically infinite sloperotating horizontal cylinder

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)

Related Items (3)

Qualitative analysis of coating flows on a rotating horizontal cylinder ⋮ Reduced-order modelling of thick inertial flows around rotating cylinders ⋮ Three-dimensional coating and rimming flow: a ring of fluid on a rotating horizontal cylinder

Cites Work

• Unnamed Item
• On the stability of viscous free–surface flow supported by a rotating cylinder
• Shock-like free-surface perturbations in low-surface-tension, viscous, thin-film flow exterior to a rotating cylinder
• On the Critical Solutions in Coating and Rimming Flow on a Uniformly Rotating Horizontal Cylinder
• Axial instability of a free-surface front in a partially filled horizontal rotating cylinder
• Steady and unsteady solutions for coating flow on a rotating horizontal cylinder: Two-dimensional theoretical and numerical modeling
• Inertial instability of a liquid film inside a rotating horizontal cylinder
• Coating flows within a rotating horizontal cylinder: Lubrication analysis, numerical computations, and experimental measurements
• Steady-state rimming flow of the generalized Newtonian fluid
• The effect of surface tension on rimming flows in a partially filled rotating cylinder
• Thin-film and curtain flows on the outside of a rotating horizontal cylinder
• On three-dimensional stability of a uniform, rigidly rotating film on a rotating cylinder
• Steady rimming flows with surface tension
• Analytical and numerical studies of the stability of thin-film rimming flow subject to surface shear

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