A level-set method for two-phase flows with moving contact line and insoluble surfactant

2014 ◽  
Vol 263 ◽  
pp. 71-90 ◽  
Author(s):  
Jian-Jun Xu ◽  
Weiqing Ren
Keyword(s):  
Level Set Method ◽  
Level Set ◽  
Contact Line ◽  
Two Phase Flows ◽  
Two Phase ◽  
Moving Contact Line ◽  
Moving Contact ◽  
Insoluble Surfactant

scholarly journals Computing three-dimensional two-phase flows with a mass-conserving level set method

2008 ◽  
Vol 11 (4-6) ◽  
pp. 221-235 ◽  
Author(s):  
S. P. van der Pijl ◽  
A. Segal ◽  
C. Vuik ◽  
P. Wesseling
Keyword(s):  
Level Set Method ◽  
Level Set ◽  
Three Dimensional ◽  
Two Phase Flows ◽  
Two Phase

Flux-based level-set method for two-phase flows on unstructured grids

2016 ◽  
Vol 18 (1) ◽  
pp. 31-52 ◽  
Author(s):  
Peter Frolkovič ◽  
Dmitriy Logashenko ◽  
Christian Wehner
Keyword(s):  
Level Set Method ◽  
Level Set ◽  
Unstructured Grids ◽  
Two Phase Flows ◽  
Two Phase

scholarly journals Moving contact line on chemically patterned surfaces

2008 ◽  
Vol 605 ◽  
pp. 59-78 ◽  
Author(s):  
XIAO-PING WANG ◽  
TIEZHENG QIAN ◽  
PING SHENG
Keyword(s):  
Contact Line ◽  
Critical Value ◽  
Diffuse Interface ◽  
Patterned Surfaces ◽  
Fluid Interface ◽  
Two Phase ◽  
Stick Slip ◽  
Moving Contact Line ◽  
Moving Contact ◽  
Wetting Fluid

We simulate the moving contact line in two-dimensional chemically patterned channels using a diffuse-interface model with the generalized Navier boundary condition. The motion of the fluid–fluid interface in confined immiscible two-phase flows is modulated by the chemical pattern on the top and bottom surfaces, leading to a stick–slip behaviour of the contact line. The extra dissipation induced by this oscillatory contact-line motion is significant and increases rapidly with the wettability contrast of the pattern. A critical value of the wettability contrast is identified above which the effect of diffusion becomes important, leading to the interesting behaviour of fluid–fluid interface breaking, with the transport of the non-wetting fluid being assisted and mediated by rapid diffusion through the wetting fluid. Near the critical value, the time-averaged extra dissipation scales as U, the displacement velocity. By decreasing the period of the pattern, we show the solid surface to be characterized by an effective contact angle whose value depends on the material characteristics and composition of the patterned surfaces.

scholarly journals Boundary conditions for dynamic wetting - A mathematical analysis

2020 ◽  
Vol 229 (10) ◽  
pp. 1849-1865 ◽  
Author(s):  
Mathis Fricke ◽  
Dieter Bothe
Keyword(s):  
Boundary Conditions ◽  
Contact Line ◽  
Stokes Equations ◽  
Mathematical Tool ◽  
Regular Solutions ◽  
Dynamic Wetting ◽  
Two Phase ◽  
Completely Regular ◽  
Moving Contact Line ◽  
Moving Contact

Abstract The moving contact line paradox discussed in the famous paper by Huh and Scriven has lead to an extensive scientific discussion about singularities in continuum mechanical models of dynamic wetting in the framework of the two-phase Navier–Stokes equations. Since the no-slip condition introduces a non-integrable and therefore unphysical singularity into the model, various models to relax the singularity have been proposed. Many of the relaxation mechanisms still retain a weak (integrable) singularity, while other approaches look for completely regular solutions with finite curvature and pressure at the moving contact line. In particular, the model introduced recently in [A.V. Lukyanov, T. Pryer, Langmuir 33, 8582 (2017)] aims for regular solutions through modified boundary conditions. The present work applies the mathematical tool of compatibility analysis to continuum models of dynamic wetting. The basic idea is that the boundary conditions have to be compatible at the contact line in order to allow for regular solutions. Remarkably, the method allows to compute explicit expressions for the pressure and the curvature locally at the moving contact line for regular solutions to the model of Lukyanov and Pryer. It is found that solutions may still be singular for the latter model.

Sign in / Sign up

Export Citation Format

Share Document