Linear stability analysis of a sharp-interface model for dewetting thin films

DOI10.1007/s10665-008-9242-2zbMath1160.76017OpenAlexW2112468166MaRDI QIDQ1015997

Barbara Wagner, Andreas Münch, John R. King

Publication date: 4 May 2009

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-008-9242-2

zbMATH Keywords

matched asymptotic expansionslubrication model

Mathematics Subject Classification ID

Thin fluid films (76A20) Lubrication theory (76D08) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Interfacial stability and instability in hydrodynamic stability (76E17)

Related Items (5)

Nonlinear dynamics of dewetting thin films ⋮ Model hierarchies and higher-order discretisation of time-dependent thin-film free boundary problems with dynamic contact angle ⋮ An anisotropic phase-field model for solid-state dewetting and its sharp-interface limit ⋮ The Structure of a Dewetting Rim with Strong Slip: The Long-Time Evolution ⋮ Stability Analysis of Unsteady, Nonuniform Base States in Thin Film Equations

Uses Software

• ODEPACK

Cites Work

• Lubrication models with small to large slip lengths
• Surface-tension-driven dewetting of Newtonian and power-law fluids
• Contact-line instability of dewetting thin films
• Nonlinear dynamics and breakup of free-surface flows
• Linear stability of a ridge
• A Numerical and Asymptotic Study of Some Third-Order Ordinary Differential Equations Relevant to Draining and Coating Flows
• On the bursting of viscous films
• Front and back instability of a liquid film on a slightly inclined plate
• Thin Film Traveling Waves and the Navier Slip Condition
• Numerical and asymptotic results on the linear stability of a thin film spreading down a slope of small inclination
• The spreading and stability of a surfactant-laden drop on a prewetted substrate
• Linear stability and transient growth in driven contact lines
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