Thermodynamically compatible hyperbolic conservative model of compressible multiphase flow: Application to four phase flow

2013 ◽  
Author(s):  
E. Romenski ◽  
A. Belozerov ◽  
I. M. Peshkov
Keyword(s):  
Multiphase Flow ◽  
Phase Flow ◽  
Compressible Multiphase Flow

scholarly journals A relaxation scheme for a hyperbolic multiphase flow model

2019 ◽  
Vol 53 (5) ◽  
pp. 1763-1795 ◽  
Author(s):  
Khaled Saleh
Keyword(s):  
Multiphase Flow ◽  
Flow Model ◽  
Two Phase Flow ◽  
Equations Of State ◽  
Energy Inequality ◽  
Approximation Error ◽  
Finite Volume Scheme ◽  
Phase Flow ◽  
Two Phase ◽  
Relaxation Scheme

This article is the first of two in which we develop a relaxation finite volume scheme for the convective part of the multiphase flow models introduced in the series of papers (Hérard, C.R. Math. 354 (2016) 954–959; Hérard, Math. Comput. Modell. 45 (2007) 732–755; Boukili and Hérard, ESAIM: M2AN 53 (2019) 1031–1059). In the present article we focus on barotropic flows where in each phase the pressure is a given function of the density. The case of general equations of state will be the purpose of the second article. We show how it is possible to extend the relaxation scheme designed in Coquel et al. (ESAIM: M2AN 48 (2013) 165–206) for the barotropic Baer–Nunziato two phase flow model to the multiphase flow model with N – where N is arbitrarily large – phases. The obtained scheme inherits the main properties of the relaxation scheme designed for the Baer–Nunziato two phase flow model. It applies to general barotropic equations of state. It is able to cope with arbitrarily small values of the statistical phase fractions. The approximated phase fractions and phase densities are proven to remain positive and a fully discrete energy inequality is also proven under a classical CFL condition. For N = 3, the relaxation scheme is compared with Rusanov’s scheme, which is the only numerical scheme presently available for the three phase flow model (see Boukili and Hérard, ESAIM: M2AN 53 (2019) 1031–1059). For the same level of refinement, the relaxation scheme is shown to be much more accurate than Rusanov’s scheme, and for a given level of approximation error, the relaxation scheme is shown to perform much better in terms of computational cost than Rusanov’s scheme. Moreover, contrary to Rusanov’s scheme which develops strong oscillations when approximating vanishing phase solutions, the numerical results show that the relaxation scheme remains stable in such regimes.

A comparative study of MHD fluid-particle suspension induced by metachronal wave under the effects of lubricated walls

2021 ◽  
pp. 2150204
Author(s):  
Mubbashar Nazeer ◽  
Farooq Hussain ◽  
Laiba Shabbir ◽  
Adila Saleem ◽  
M. Ijaz Khan ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Magnetic Fields ◽  
Multiphase Flow ◽  
Thermal Radiation ◽  
Newtonian Fluid ◽  
Closed Form Solution ◽  
Casson Fluid ◽  
Form Solution ◽  
Phase Flow ◽  
Two Phase

In this paper, the two-phase flow of non-Newtonian fluid is investigated. The main source of the flow is metachronal waves which are caused by the back and forth motion of cilia attached to the opposite walls of the channel. Magnetohydrodynamics (MHD) of Casson fluid experience the effects of transverse magnetic fields incorporated with the slippery walls of the channel. Thermal effects are examined by taking Roseland’s approximation and application of thermal radiation into account. The heat transfer through the multiphase flow of non-Newtonian fluid is further, compared with Newtonian bi-phase flow. Since the main objective of the current study is to analyze heat transfer through an MHD multiphase flow of Casson fluid. The two-phase heated flow of non-Newtonian fluid is driven by cilia motion results in nonlinear and coupled differential equations which are transformed and subsequently, integrated subject to slip boundary conditions. A closed-form solution is eventually obtained form that effectively describes the flow dynamics of multiphase flow. A comprehensive parametric study is carried out which highlights the significant contribution of pertinent parameters of the heat transfer of Casson multiphase flow. It is inferred that lubricated walls and magnetic fields hamper the movement of multiphase flow. It is noted that a sufficient amount of additional thermal energy moves into the system, due to the Eckert number and Prandtl number. While thermal radiation acts differently by expunging the heat transfer. Moreover, Casson multiphase flow is a more suitable source of heat transfer than Newtonian multiphase flow.

The Numerical Simulation of the Water Jet in Hydroentanglement

2011 ◽  
Vol 189-193 ◽  
pp. 2181-2184
Author(s):  
Heng Zhang ◽  
Xiao Ming Qian ◽  
Zhi Min Lu ◽  
Yuan Bai
Keyword(s):  
Numerical Simulation ◽  
Numerical Model ◽  
Multiphase Flow ◽  
Flow Model ◽  
Two Phase Flow ◽  
Water Jet ◽  
Phase Flow ◽  
Governing Equations ◽  
Two Phase ◽  
Set Up

The functions of hydroentangled nonwovens are determined by the degree of the fiber entanglement, which depend mainly on parameters of the water jet. According to the spun lacing technology, this paper set up the numerical model based on the simplified water jetting model, establishing the governing equations, and the blended two-phase flow as the multiphase flow model. This paper simulation the water needle after the water jetting from the water needle plate in the different pressure (100bar, 60bar, 45bar, 35bar).

Interaction Between Two Falling Droplets in the Liquid-Liquid Two Phase Flow

2011 ◽  
Author(s):  
Nao Ninomiya ◽  
Takeshi Mori
Keyword(s):  
Aqueous Solution ◽  
Multiphase Flow ◽  
Physical Mechanism ◽  
Two Phase Flow ◽  
Refractive Indices ◽  
Phase Flow ◽  
Two Phase ◽  
Piv Measurement ◽  
The Difference ◽  
Simultaneous Visualization

Although the phenomena related to the multiphase flow can be found in many kinds of industrial and engineering applications, the physical mechanism of the multiphase flow has not been investigated in detail. The major reason for the lack of data in the multiphase flow lies in the difficulties in measuring the flow quantities of the multiple phases simultaneously. The difference in the refractive indices makes the visualization in the vicinity of the boundary of the multiple phases almost impossible. In this study, the refractive index of the aqueous phase has been equalized to that of the oil phase by adjusting the concentration of aqueous solution. Presently, the simultaneous visualization and the PIV measurement have been carried out about the both phases of the liquid-liquid two-phase flow. The measurement has been carried out for the flow field around and inside of two falling droplets interacting each other while they travel.

A Study on the Multiphase Flow Characteristics Inside Subsea Separation System

2014 ◽  
Author(s):  
Nam-Sub Woo ◽  
Young-Ju Kim ◽  
Sang-Mok Han ◽  
Jae-Ki Kwon ◽  
Sang-Shik Kim ◽  
...  
Keyword(s):  
Multiphase Flow ◽  
Deep Water ◽  
Flow Characteristics ◽  
Phase Flow ◽  
Separation System ◽  
Successful Operation ◽  
Efficient Tool ◽  
Hydrocarbon Production ◽  
Development Scheme ◽  
Wide Range

The implementation of subsea separation and liquid boosting is becoming a common development scheme for the exploration of deep water fields. Subsea separation system should be reliable to ensure successful operation in a wide range of 3-phase flow regime, without need for developments. A subsea separator can avoid or simplying costly surface platforms of floating vessels, as well as being an efficient tool to enhance hydrocarbon production. One solution of interest is the separation and re-injection of water at the seabed to avoid bringing the water up to the surface facility. In this study, multiphase flow characteristics inside subsea separation system are investigated for the design of subsea separation system.

CFD Multiphase Flow Modelling of Air Porosity Defect Formation During High-Pressure Die-Casting Filling Process

2015 ◽  
Author(s):  
J. Hao ◽  
Y. J. Lin ◽  
Y. Nie
Keyword(s):  
High Pressure ◽  
Multiphase Flow ◽  
High Speed ◽  
Flow Model ◽  
Defect Formation ◽  
Die Casting ◽  
Phase Flow ◽  
Filling Process ◽  
Proposed Model ◽  
Pressure Die Casting

High-Pressure Die-Casting (HPDC) is an important process for manufacturing high-volume and low-cost components. In this process molten metal is injected at high speed under high pressure into the die cavity, which often leads to entrapment of air into the liquid metal. This will cause air porosity after solidification, the main defect in the parts made by HPDC. The aim of this work was to develop a CFD multiphase flow simulation method to numerically study the air porosity defect formation in HPDC. Some numerical models have been developed to predict the air porosity defect in HPDC. However, most of them are limited to one phase flow model which could only simulate the filling process of liquid metal. In this study both the bulk fluid and surrounding air were modeled by a 3D multiphase flow model. The proposed model can describe the entrapment, advection and coalescence of air bubbles within the melt, and thus has the ability to accurately simulate the air porosity defect formation in HPDC. In the present paper, an incompressible-compressible two-phase flow model was developed. The numerical benchmark test of a broken dam problem was used to demonstrate the effectiveness of the proposed model. Then numerical model was applied to simulate a high speed water filling process. Results of the modeling were compared with corresponding experimental data and good agreement has been found.

A review of internal corrosion mechanism and experimental study for pipelines based on multiphase flow

2017 ◽  
Vol 35 (6) ◽  
pp. 425-444 ◽  
Author(s):  
Hao Zhang ◽  
Hui-qing Lan
Keyword(s):  
Multiphase Flow ◽  
Petroleum Industry ◽  
Corrosion Damage ◽  
Hydrodynamic Process ◽  
Corrosion Mechanism ◽  
Phase Flow ◽  
Two Phase ◽  
Internal Corrosion ◽  
Damage Prediction ◽  
Prediction And Prevention

AbstractThe internal corrosion of pipelines in the petroleum industry is highly risky, and induced pipeline cracking may give rise to potential injury to personnel and environmental issues. The oil-water two-phase flow and the oil-gas-water three-phase flow are often observed in gathering and transportation pipelines. It is generally accepted that corrosion is induced by the presence of water, although it is a complex hydrodynamic process in which the material is removed from the pipeline due to physicochemical reactions. Hence, it is necessary to determine the key parameters that dominate the corrosion phenomena and how they can be modeled. As the water phase that wets the steel surface determines the initiation of corrosion, several aspects are widely discussed here, such as corrosive medium, phase inversion, water-wetting behavior, the entrainment of water, and the wettability of steel, to explain the corrosion mechanism of multiphase flow and correlation with the corrosion behavior. Of course, empirical and mechanistic models for corrosion prediction in pipelines are discussed. Also, the mostly applied techniques of identifying flow patterns and attaining related parameters in experiments for the evaluation of the corrosiveness of oil-brine mixtures are introduced. Further studies must be undertaken to expand the knowledge of corrosion and find applicable models for corrosion damage prediction and prevention.

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