Spinodal decomposition in particle-laden Landau-Levich flow

A Particle Model for Spinodal Decomposition

We study a one-dimensional lattice gas where particles jump stochastically obeying an exclusion rule and having a "small" drift toward regions of higher concentration. We prove convergence in the continuum limit to a nonlinear parabolic equation whenever the initial density profile satisfies suitable conditions which depend on the strength a of the drift. There is a critical value a c of a. For...

Surfactant effects in the Landau–Levich problem

In this work we study the classical Landau–Levich problem of dip-coating. While in the clean interface case and in the limit of low capillary numbers it admits an asymptotic solution, its full study has not been conducted. With the help of an efficient numerical algorithm, based on a boundary-integral formulation and the appropriate set of interfacial and inflow boundary conditions, we first st...

Landau-Levich problem for non-Newtonian liquids.

In this paper the drag-out problem for shear-thinning liquids at variable inclination angles is considered. For this free boundary problem dimension-reduced lubrication equations are derived for the most commonly used viscosity models, namely, the power-law, Ellis, and Carreau model. For the resulting lubrication models a system of ordinary differential equations governing the steady state solu...

Landau-Levich flow visualization: Revealing the flow topology responsible for the film thickening phenomena

An extensive body of experimental work has proven the validity of the analysis of Landau and Levich, who were the first to determine theoretically the thickness of the film deposited by the withdrawal of a flat substrate from a bath of liquid with a clean interface. However, there are a number of experimental investigations that have shown that surfactants in the liquid may result in a thickeni...

Spinodal decomposition in microemulsions