Simulation of spreading surfactant on a thin liquid film

DOI10.1016/j.amc.2011.11.002zbMath1359.76037OpenAlexW2001315102WikidataQ57433806 ScholiaQ57433806MaRDI QIDQ426541

Michael Shearer, Ellen R. Peterson

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.11.002

zbMATH Keywords

numerical methodhyperbolicparabolic PDEsurfactantthin liquid films

Mathematics Subject Classification ID

Thin fluid films (76A20) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (5)

Global existence of solutions to a tear film model with locally elevated evaporation rates ⋮ The interface dynamics of a surfactant drop on a thin viscous film ⋮ Isogeometric analysis of insoluble surfactant spreading on a thin film ⋮ Interplay of substrate wettability and surfactant distributions in controlling interfacial instability ⋮ Multigrid Methods for the Simulations of Surfactant Spreading on a Thin Liquid Film

Cites Work

• Front tracking for gas dynamics
• Radial Spreading of a Surfactant on a Thin Liquid Film
• The dynamics of a localized surfactant on a thin film
• Insoluble surfactant spreading on a thin viscous film: shock evolution and film rupture
• Self-similar intermediate asymptotics for a degenerate parabolic filtration-absorption equation
• Finite Volume Methods for Hyperbolic Problems
• On the stability of a class of self-similar solutions to the filtration-absorption equation
• The Immersed Interface/Multigrid Methods for Interface Problems
• Self-similar, surfactant-driven flows
• Numerical simulations of fingering instabilities in surfactant-driven thin films

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