The Motion with Slip of a Thin Viscous Droplet over a Solid Surface
From MaRDI portal
Publication:4742483
DOI10.1002/sapm1982673217zbMath0505.76112OpenAlexW40736751MaRDI QIDQ4742483
Publication date: 1982
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/sapm1982673217
surface tensionnonlinearslip velocitytangential stressasymptotic expansion for droplet thicknesscontaminated surface of solidspeed of contact linethin droplet of viscous liquid
Related Items (28)
Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation ⋮ On the distinguished limits of the Navier slip model of the moving contact line problem ⋮ A thin drop sliding down an inclined plate ⋮ Group classification and conservation laws of a sixth-order thin film type equation ⋮ Source type solutions of a fourth order nonlinear degenerate parabolic equation ⋮ Symmetries, first integrals and phase planes of a third-order ordinary differential equation from thin film flow ⋮ The nascent coffee ring with arbitrary droplet contact set: an asymptotic analysis ⋮ Numerical investigation of a third-order ODE from thin film flow ⋮ Positive solutions to a nonlinear fourth-order partial differential equation ⋮ Asymptotic analysis of the evaporation dynamics of partially wetting droplets ⋮ On contact-line dynamics with mass transfer ⋮ Gravitational effects on coffee-ring formation during the evaporation of sessile droplets ⋮ Group classification, reductions and exact solutions of a class of higher order nonlinear degenerate parabolic equation ⋮ Higher order nonlinear degenerate parabolic equations ⋮ On some nonlinear singular boundary value problems of higher order ⋮ On the determination of the steady film profile for a non-Newtonian thin droplet ⋮ An investigation of an Emden-Fowler equation from thin film flow ⋮ The problem of the spreading of a liquid film along a solid surface: A new mathematical formulation ⋮ Study of a family of higher order nonlocal degenerate parabolic equations: from the porous medium equation to the thin film equation ⋮ Droplet dynamics on chemically heterogeneous substrates ⋮ Surface-tension- and injection-driven spreading of a thin viscous film ⋮ A geometric diffuse-interface method for droplet spreading ⋮ The nascent coffee ring: how solute diffusion counters advection ⋮ \(H^1\)-solutions for the Hele-Shaw equation ⋮ On thin evaporating drops: When is the -law valid? ⋮ Slipping moving contact lines: critical roles of de Gennes’s ‘foot’ in dynamic wetting ⋮ How Do Degenerate Mobilities Determine Singularity Formation in Cahn--Hilliard Equations? ⋮ Time rescaling and asymptotic behavior of some fourth-order degenerate diffusion equations
Cites Work
- Moving contact lines and rivulet instabilities. Part 1. The static rivulet
- SLIDING AND SPREADING OF THIN TWO-DIMENSIONAL DROPS
- The moving contact line: the slip boundary condition
- A moving fluid interface on a rough surface
- On the motion of a small viscous droplet that wets a surface
- On the motion of a fluid-fluid interface along a solid surface
This page was built for publication: The Motion with Slip of a Thin Viscous Droplet over a Solid Surface
