Mathematical modelling of thermocapillary patterning in thin liquid film: an equilibrium study

DOI10.1017/JFM.2021.407zbMath1486.76027OpenAlexW3164589673MaRDI QIDQ4993148

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Publication date: 15 June 2021

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jfm.2021.407

zbMATH Keywords

Marangoni convectionthin filmcapillary flowthermal gradientLyapunov energy analysis

Mathematics Subject Classification ID

Thin fluid films (76A20) Free convection (76R10) Capillarity (surface tension) for incompressible viscous fluids (76D45) Convection in hydrodynamic stability (76E06) Diffusive and convective heat and mass transfer, heat flow (80A19)

Cites Work

• Free-surface thin-film flows over topography: influence of inertia and viscoelasticity
• Long-wave theory of bounded two-layer films with a free liquid–liquid interface: Short- and long-time evolution
• Breakup of fluid droplets in electric and magnetic fields
• Thermocapillary Instabilities
• Two-dimensional droplet spreading over topographical substrates
• Thermocapillary long waves in a liquid film flow. Part 1. Low-dimensional formulation
• Thermocapillary long waves in a liquid film flow. Part 2. Linear stability and nonlinear waves

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