Water flooding technology is an important measure to enhance oil recovery in oilfields. Understanding the pore-scale flow mechanism water process of great significance for optimization development schemes. Viscous action and capillarity are crucial factors determination rate flooding. In this paper, a direct numerical simulation (DNS) method based on Navier–Stokes equation volume fluid (VOF) em...

A recent macroscopic theory of biphasic flow in porous media [R. Hilfer, Phys. Rev. E 73, 016307 (2006)] has proposed to treat microscopically percolating fluid regions differently from microscopically nonpercolating regions. Even in one dimension the theory reduces to an analytically intractable set of ten coupled nonlinear partial differential equations. This paper reports numerical solutions...

In this paper we generalize the degenerate two{phase Stefan problem (Mullins{ Sekerka evolution) to multi{phase systems. We prove a conditional existence result for this evolution problem in the framework of geometric measure theory by using an implicit time discretization. In each time step we solve a variational problem for an energy functional that contains capillarity terms as well as bulk ...

Thin liquid films arise in many technological applications and biological phenomena. They also present a fascinating object of study, because rich interplay between capillarity, hydrodynamics, interfacial transport phenomena rheology, as well the effects interaction forces when thin down to molecular thicknesses. Recent advances experimental techniques have given further insights variety physic...

Spontaneous imbibition enables the elegant propelling of nano-flows because of the dominance of capillarity at small length scales. The imbibition kinetics are, however, solely determined by the static host geometry, the capillarity, and the fluidity of the imbibed liquid. This makes active control particularly challenging. Here we show for aqueous electrolyte imbibition in nanoporous gold that...

In the first part of this paper, we prove the existence of a global strong solution for the Korteweg system in one dimension. In the second part, motivated by the processes of vanishing capillarity-viscosity limit in order to select the physically relevant solutions for a hyperbolic system, we show that the global strong solution of the Korteweg system converges in the case of a γ law for the p...

We study the dynamics of two-dimensional surface gravity waves of fluid in a channel. The viscous dissipation in the bulk of the fluid is assumed to be negligible by comparing with the dissipation in the vicinity of the contact line. Capillarity effects are not considered. Dissipation in the vicinity of the contact line is described by contact line dissipation model suggested in de Ruijter et a...

Spatiotemporal patterns form in many nonlinear physicochemical or biological systems. Although unusual, microfluidic systems are no exception. We observe such patterns to form by colloids along the free surface of a drop beneath which surface acoustic waves propagate, and propose fundamental mechanisms to elucidate their formation. With increasing excitation amplitude, the colloids first assemb...