Self-similar, surfactant-driven flows

DOI10.1063/1.868280zbMath0839.76020OpenAlexW2062977187MaRDI QIDQ4838735

Oliver E. Jensen

Publication date: 12 July 1995

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

Full work available at URL: https://doi.org/10.1063/1.868280

zbMATH Keywords

ordinary differential equationssurfactant concentration

Mathematics Subject Classification ID

Diffusion (76R50) Lubrication theory (76D08)

Related Items

Simulating surfactant spreading: Influence of a physically motivated equation of state ⋮ Self-similar collapse of a circular cavity of a power-law liquid ⋮ Unraveling surfactant transport on a thin liquid film ⋮ Simulation of spreading surfactant on a thin liquid film ⋮ The spreading of insoluble surfactant at the free surface of a deep fluid layer ⋮ An insoluble surfactant model for a vertical draining free film with variable surface viscosity ⋮ Unstable van der Waals driven line rupture in Marangoni driven thin viscous films ⋮ Invariant solutions of surfactant-driven flows ⋮ Oscillatory Marangoni flows with inertia ⋮ Healing capillary films

Cites Work

• The dynamics of a localized surfactant on a thin film
• Monolayer flow on a thin film
• Dynamics and transport of a localized soluble surfactant on a thin film
• Insoluble surfactant spreading on a thin viscous film: shock evolution and film rupture
• A selfsimilar solution to the focusing problem for the porous medium equation
• The spreading of heat or soluble surfactant along a thin liquid film
• Self-similar viscous gravity currents: phase-plane formalism
• On Marangoni drying: nonlinear kinematic waves in a thin film
• Motion driven by surface-tension gradients in a tube lining
• Self-Similar Solutions as Intermediate Asymptotics