Simulating surfactant spreading: Influence of a physically motivated equation of state

DOI10.1017/S095679251700002XzbMath1391.76056arXiv1602.05261OpenAlexW2964137730WikidataQ108723180 ScholiaQ108723180MaRDI QIDQ4575273

Karen E. Daniels, Dina Sinclair, Rachel Levy

Publication date: 13 July 2018

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05261

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Finite volume methods applied to problems in fluid mechanics (76M12) Capillarity (surface tension) for incompressible viscous fluids (76D45)

Related Items (4)

Capillary waves with surface viscosity ⋮ Unraveling surfactant transport on a thin liquid film ⋮ An Immersed Boundary Method for Simulating Interfacial Flows with Insoluble Surfactant in Three Dimensions ⋮ Invariant solutions of surfactant-driven flows

Cites Work

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• Insoluble surfactant spreading on a thin viscous film: shock evolution and film rupture
• The spreading of heat or soluble surfactant along a thin liquid film
• Finite Element Approximation of Surfactant Spreading on a Thin Film
• Surfactant transport on mucus films
• Fingering phenomena associated with insoluble surfactant spreading on thin liquid films
• Self-similar, surfactant-driven flows
• Nonlinear evolution equations for thin liquid films with insoluble surfactants
• A singularly perturbed problem related to surfactant spreading on thin films
• Dynamics of a horizontal thin liquid film in the presence of reactive surfactants
• Gravity-driven thin liquid films with insoluble surfactant: smooth traveling waves
• Surfactant Spreading on Thin Viscous Films: Nonnegative Solutions of A Coupled Degenerate System

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