Two-phase flow equations with a dynamic capillary pressure

Experimental Study of Dynamic Capillary Pressure Effect in Two-phase Flow in Porous Media

There is strong evidence in the literature that traditional equations describing two-phase flow processes in porous media may be inadequate under non-equilibrium or dynamic conditions. There exist theories that propose that the capillary pressure depends not only on saturation but also on the time rate of change of saturation. In this work, the significance of dynamic effects in the capillary p...

Two Phase Flow Pressure Drop Calculation Using Homogeneous Equilibrium Model

Although two-phase flow is frequently encountered in various location of the process plants, there is no a general accepted and verified two-phase flow model that may be used to size lines for such conditions. An obvious example is condensate water return lines. The API method that used in this study is based on the homogeneous equilibrium flow assumption, that is, equal velocity and equal temp...

Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure

We consider an immiscible incompressible two-phase flow in a porous medium composed of two different rocks so that the capillary pressure field is discontinuous at the interface between the rocks. This leads us to apply a concept of multi-valued phase pressures and a notion of weak solution for the flow which have been introduced in [Cancès & Pierre, SIAM J. Math. Anal, 44(2):966–992, 2012]. We...

Numerical Study of Single Phase/Two-Phase Models for Nanofluid Forced Convection and Pressure Drop in a Turbulence Pipe Flow

In this paper, the problem of turbulent forced convection flow of water- alumina nanofluid in a uniformly heated pipe has been thoroughly investigated. In numerical study, single and two-phase models have been used. In single-phase modeling of nanofluid, thermal and flow properties of nanofluid have been considered to be dependent on temperature and volume fraction. Effects of volume fraction a...

Two-Phase Flow in a Diabatic Capillary Tube