In this paper, we demonstrate the existence, uniqueness, and uniform stability of the discrete solution obtained with the nonconforming Crouzeix-Raviart/P0 finite element for a generalized Stokes problem of a twophase flow in one time-step.

This paper presents modelling of non-invasive Ultrasonic Tomography via transmission-mode method for imaging liquid and gas flow. Transmission-mode approach has been used for sensing the liquid/gas two-phase flow, which is a kind of strongly inhomogeneous medium. The concept of observation time and the imaging technique for twophase flow using fan-shaped beam scanning geometry were presented.

In order to better model complex real-world data such as multiphase flow, one approach is to develop pattern recognition techniques and robust features that capture the relevant information. In this paper, we use deep learning methods, and in particular employ the multilayer perceptron, to build an algorithm that can predict flow pattern in twophase flow from fluid properties and pipe condition...

In order to analyze numerically inverse problems several techniques based on linear and nonlinear stability analysis are presented. These techniques are illustrated on the problem of estimating mobilities and capillary pressure in one-dimensional two-phase displacements in porous media that are performed in laboratories. This is an example of the problem of estimating nonlinear coefficients in ...

This paper presents a partial order reduction algorithm called Twophase that generates a signiicantly reduced state space on a large class of practical protocols over alternative algorithms in its class. The reduced state-space generated by Twophase preserves all CTL-X assertions. Twophase achieves this reduction by following an alternative implementation of the proviso step. In particular, Two...

Downward turbulent bubbly flows in pipes were modeled using computational fluid dynamics tools. The Hydrodynamics, phase distribution and turbulent structure of twophase air-water flow in a 57.15 mm diameter and 3.06 m length vertical pipe was modeled by using the 3-D Eulerian-Eulerian multiphase flow approach. Void fraction, liquid velocity and turbulent fluctuations profiles were calculated a...

We present a concept for solid phase extraction of compounds from reactions contained in the dispersed phase of twophase flow based on the manipulation of liquids via patterned surface chemistry. Approaches to guiding of liquids via patterned surface coatings have been proposed by several groups [1-3]. However, few practical applications of such approaches have been reported to date. We demonst...

We focus here on the difficult problem of linear solving, when considering implicit scheme for twophase flow simulation in porous media. Indeed, this scheme leads to ill-conditioned linear systems, due to the different behaviors of the pressure unknown (which follows a diffusion equation) and the saturation unknown (mainly advected by the total volumic flow). This difficulty is enhanced by the ...

This paper presents a methodology for classification of twophase flow patterns in fluid systems, which takes the measurements of an in situ ultrasonic sensor as inputs. In contrast to the common practice of having an array of ultrasonic detectors, the underlying algorithm requires only a single sensor hardware in combination with an integrated software of signal conditioning, feature extraction...