Contact lines over random topographical substrates. Part 1. Statics

DOI10.1017/S0022112010005975zbMath1225.76284MaRDI QIDQ3097817

Serafim Kalliadasis, Nikos Savva, Grigorios A. Pavliotis

Publication date: 10 November 2011

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

zbMATH Keywords

thin filmscontact linesdrops

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Stochastic analysis applied to problems in fluid mechanics (76M35) Liquid-gas two-phase flows, bubbly flows (76T10)

Related Items (6)

Low-frequency vibrations of two-dimensional droplets on heterogeneous substrates ⋮ Motion of a viscous slug on heterogeneous surfaces: crossover from stick–slip to steady sliding ⋮ A comparison of slip, disjoining pressure, and interface formation models for contact line motion through asymptotic analysis of thin two-dimensional droplet spreading ⋮ Droplet motion on inclined heterogeneous substrates ⋮ Contact lines over random topographical substrates. Part 1. Statics ⋮ Contact lines over random topographical substrates. Part 2. Dynamics

Cites Work

• Fracture surfaces of heterogeneous materials: A 2D solvable model
• The spreading of a liquid on a rough solid surface
• Contact lines over random topographical substrates. Part 1. Statics
• Moving contact lines on a two-dimensional rough surface
• On the Weierstrass-Mandelbrot fractal function
• Two-dimensional droplet spreading over topographical substrates
• Handbook of Statistical Distributions with Applications
• On the intervals between successive zeros of a random function
• Mathematical Analysis of Random Noise
• Stochastic differential equations. An introduction with applications.

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