The no-slip boundary condition, i.e., zero fluid velocity relative to the solid at the fluid-solid interface, has been very successful in describing many macroscopic flows. A problem of principle arises when the no-slip boundary condition is used to model the hydrodynamics of immiscible-fluid displacement in the vicinity of the moving contact line, where the interface separating two immiscible ...

Visualization experiments of the unsteady immiscible displacement of a fluid by another are performed on glass-etched pore networks of well-controlled morphology by varying the fluid system and flow conditions. The measured transient responses of the fluid saturation and pressure drop across the porous medium are introduced into numerical solvers of the macroscopic two-phase flow equations to e...

Multiphase fluid flow in a pore doublet is fundamental problem and important for understanding the transport mechanisms of multiphase flows porous media. During displacement immiscible two-phase fluids doublet, process influenced not only by capillary viscous forces, but also channel geometry. In this paper, mathematical model presented considering effects force, geometric structure. This leads...

Relative permeability is commonly used to model immiscible fluid flow through porous materials. In this work, we derive the relative relationship from conservation of energy, assuming that system be non-ergodic at large length scales and relying on averaging in both space time homogenize behavior. Explicit criteria are obtained define stationary conditions: (1) there can no net change for exten...

The displacement flow of an organic Newtonian fluid by a pure viscoelastic aqueous solution is experimentally investigated inside circular microchannel 200 μm. Displacement commonly encountered in many industrial applications, from cleaning and decontamination to enhanced oil recovery. In this study, with no shear-thinning properties (known as Boger fluid) made up polyethylene oxide, glycol, zi...

Single-phase flows of viscoelastic polymer solutions in both microfluidic devices and rock cores exhibit apparent flow thickening. We demonstrate that this thickening occurs above a critical Deborah number corresponding to the onset of spatio-temporal fluctuations. These fluctuations are observed to occur over a broad range of spatial and temporal scales consistent with elastic turbulence. The ...

We present a systematic, quantitative assessment of the impact of pore size disorder and its interplay with flow rates and wettability on immiscible displacement of a viscous fluid. Pore-scale simulations and micromodel experiments show that reducing disorder increases the displacement efficiency and compactness, minimizing the fluid-fluid interfacial area, through (i) trapping at low rates and...