Influence of gravity on the spreading of two-dimensional droplets over topographical substrates

DOI10.1007/s10665-010-9426-4zbMath1398.76014OpenAlexW2010325188MaRDI QIDQ1990317

Nikos Savva, Serafim Kalliadasis

Publication date: 25 October 2018

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

Full work available at URL: https://doi.org/10.1007/s10665-010-9426-4

zbMATH Keywords

gravitysingular perturbationswettingtopographydroplet spreading

Mathematics Subject Classification ID

Thin fluid films (76A20) Lubrication theory (76D08) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (8)

Low-frequency vibrations of two-dimensional droplets on heterogeneous substrates ⋮ The asymptotics of the moving contact line: cracking an old nut ⋮ Asymptotic analysis of the evaporation dynamics of partially wetting droplets ⋮ Droplet dynamics on chemically heterogeneous substrates ⋮ A comparison of slip, disjoining pressure, and interface formation models for contact line motion through asymptotic analysis of thin two-dimensional droplet spreading ⋮ Adaptive mesh refinement for simulation of thin film flows ⋮ Thermocapillary migration of a planar droplet at small and large Marangoni numbers: effects of interfacial rheology ⋮ Probing dissipation in spreading drops with granular suspensions

Cites Work

• The spreading of a liquid on a rough solid surface
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• SLIDING AND SPREADING OF THIN TWO-DIMENSIONAL DROPS
• Non-isothermal spreading of liquid drops on horizontal plates
• On the motion of a small viscous droplet that wets a surface
• Slip over rough and coated surfaces
• Nonlinear instability of a contact line driven by gravity
• Efficient and accurate time adaptive multigrid simulations of droplet spreading
• THE SPREADING OF A THIN DROP BY GRAVITY AND CAPILLARITY
• The spreading of drops with intermolecular forces
• Sedimentation of a two-dimensional drop towards a rigid horizontal plane
• Two-dimensional droplet spreading over topographical substrates

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