On a generalized approach to the linear stability of spatially nonuniform thin film flows

DOI10.1063/1.1564094zbMath1186.76130OpenAlexW2059890498MaRDI QIDQ3556458

Sandra M. Troian, Jeffrey M. Davis

Publication date: 22 April 2010

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

Full work available at URL: https://authors.library.caltech.edu/4955/

zbMATH Keywords

surface tensionfilm floweigenvalues and eigenfunctionslubricationflow instabilityfluid oscillations

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (9)

Adaptive rational spectral methods for the linear stability analysis of nonlinear fourth-order problems ⋮ Nonmodal and nonlinear dynamics of a volatile liquid film flowing over a locally heated surface ⋮ Instabilities in the flow of thin films on heterogeneous surfaces ⋮ Generalized linear stability of noninertial coating flows over topographical features ⋮ Transient dynamics and structure of optimal excitations in thermocapillary spreading: Precursor film model ⋮ The stability of a rising droplet: an inertialess non-modal growth mechanism ⋮ Transient growth in driven contact lines ⋮ On nontrivial traveling waves in thin film flows including contact lines ⋮ Contact-line instability of dewetting thin films

Uses Software

• Eigtool

Cites Work

• Large-Scale Computation of Pseudospectra Using ARPACK and Eigs
• A spectral theory for fingering on a prewetted plane
• Nonlinear dynamics and transient growth of driven contact lines
• On the motion of a small viscous droplet that wets a surface
• Pseudospectra of Linear Operators
• Stability of Newtonian and viscoelastic dynamic contact lines
• Linear stability and transient growth in driven contact lines

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