We show that wetting properties crucially control the patterns in two-phase flows of immiscible fluids in microchannels. Ordered patterns, continuously entrained by the flow, are obtained when one phase completely wets the walls, while disordered patterns, intermittently adhering to the channel walls, are unavoidably produced when wetting is partial. A lower limit for the channel sizes capable ...

The stability of the interface separating two immiscible incompressible fluids of different densities and viscosities is considered in the case of fluids filling a cavity which performs horizontal harmonic oscillations. There exists a simple basic state which corresponds to the unperturbed interface and plane-parallel unsteady counter flows; the properties of this state are examined. A linear s...

A fluid composed of two molecular species may undergo phase segregation via spinodal decomposition. However, if the can interconvert, e.g. change their chirality, then a phenomenon amplification, which has not been studied so far, emerges. As result, eventually, one will completely eliminate other one. We model this on an Ising system relaxes to equilibrium through hybrid Kawasaki-diffusion and...

We study the two-dimensional multiphase Muskat problem describing motion of three immiscible fluids with equal viscosities in a vertical homogeneous porous medium identified $\mathbb{R}^2$ under effect gravity. first formulate governing equations as strongly coupled evolution for functions that parameterize sharp interfaces between fluids. Afterwards we prove is parabolic type and establish its...

We present a stochastic rotation dynamics model of amphiphilic molecules. Vesicle formation of amphiphilic molecules in a thermal fluctuating fluid is demonstrated in this paper. In the model, the interaction of amphiphilic molecules is represented by Lennard–Jones potentials, and stochastic rotation dynamics [T. Ihle, D.M. Kroll, Stochastic rotation dynamics: A Galilean-invariant mesoscopic mo...

We study a diffuse interface model for the flow of two viscous incompressible Newtonian fluids in a bounded domain. The fluids are assumed to be macroscopically immiscible, but a partial mixing in a small interfacial region is assumed in the model. Moreover, diffusion of both components is taken into account. In contrast to previous works, we study a model for the general case that the fluids h...

We study a diffuse interface model for the flow of two viscous incompressible Newtonian fluids in a bounded domain. The fluids are assumed to be macroscopically immiscible, but a partial mixing in a small interfacial region is assumed in the model. Moreover, diffusion of both components is taken into account. In contrast to previous works, we study the general case that the fluids have differen...

A numerical method for simulating three-phase flows with moving contact lines on arbitrarily complex surfaces is developed in the framework of lattice Boltzmann method. In this method, immiscible flow modeled through a multiple-relaxation-time color-gradient model, which not only allows full range interfacial tensions but also produces stable outcomes wide viscosity ratios. characteristic line ...

From extensive molecular dynamics simulations on immiscible two-phase flows, we find the relative slipping between the fluids and the solid wall everywhere to follow the generalized Navier boundary condition, in which the amount of slipping is proportional to the sum of tangential viscous stress and the uncompensated Young stress. The latter arises from the deviation of the fluid-fluid interfac...