Analysis of a local hydrodynamic model with Marangoni effect

DOI10.1007/S10915-004-4095-YzbMath1069.76018OpenAlexW2084088329MaRDI QIDQ556626

Jianyong Qiao, Sumit K. Garg

Publication date: 22 June 2005

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/inria-00256567/file/MonnierWitomskiJSC.pdf

zbMATH Keywords

existenceuniquenessfinite element schemesDynamic contact line

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Capillarity (surface tension) for incompressible viscous fluids (76D45) Three or more component flows (76T30) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (5)

Classical solvability of the stationary free boundary problem describing the interface formation between two immiscible fluids ⋮ Solvability of a moving contact-line problem with interface formation for an incompressible viscous fluid ⋮ Simulation of Droplet Impact with Dynamic Contact Angle Boundary Conditions ⋮ Simulation of micron-scale drop impact ⋮ Classical solvability of a stationary free boundary problem for an incompressible viscous fluid describing the process of interface formation

Cites Work

• Unnamed Item
• The moving contact line on a smooth solid surface
• Experimental evidence of nonlocal hydrodynamic influence on the dynamic contact angle
• The dynamics of the spreading of liquids on a solid surface. Part 1. Viscous flow
• The moving contact line: the slip boundary condition
• A moving fluid interface. Part 2. The removal of the force singularity by a slip flow
• Elliptic Partial Differential Equations of Second Order
• Moving contact lines in liquid/liquid/solid systems
• On the motion of a fluid-fluid interface along a solid surface

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