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Journal articles on the topic 'Two-phase flow modeling'

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Author: Grafiati

Published: 14 March 2023

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1

Vasenin, I. M. "MODELING OF A TWO-PHASE FLOW OF LIQUID WITH SMALL-SIZE GAS BUBBLES." Eurasian Physical Technical Journal 16, no. 1 (June 14, 2019): 129–36. http://dx.doi.org/10.31489/2019no1/129-136.

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2

Supa-Amornkul, Savalaxs, Frank R. Steward, and Derek H. Lister. "Modeling Two-Phase Flow in Pipe Bends." Journal of Pressure Vessel Technology 127, no. 2 (December 8, 2004): 204–9. http://dx.doi.org/10.1115/1.1904063.

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In order to have a better understanding of the interaction between the two-phase steam-water coolant in the outlet feeder pipes of the primary heat transport system of some CANDU reactors and the piping material, themalhydraulic modelling is being performed with a commercial computational fluid dynamics (CFD) code—FLUENT 6.1. The modeling has attempted to describe the results of flow visualization experiments performed in a transparent feeder pipe with air-water mixtures at temperatures below 55°C. The CFD code solves two sets of transport equations—one for each phase. Both phases are first treated separately as homogeneous. Coupling is achieved through pressure and interphase exchange coefficients. A symmetric drag model is employed to describe the interaction between the phases. The geometry and flow regime of interest are a 73 deg bend in a 5.9cm diameter pipe containing water with a Reynolds number of ∼1E5-1E6. The modeling predicted single-phase pressure drop and flow accurately. For two-phase flow with an air voidage of 5–50%, the pressure drop measurements were less well predicted. Furthermore, the observation that an air-water mixture tended to flow toward the outside of the bend while a single-phase liquid layer developed at the inside of the bend was not predicted. The CFD modeling requires further development for this type of geometry with two-phase flow of high voidage.

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3

Wallis, Graham B., and Donald A. Drew. "FUNDAMENTALS OF TWO-PHASE FLOW MODELING." Multiphase Science and Technology 8, no. 1-4 (1994): 1–67. http://dx.doi.org/10.1615/multscientechn.v8.i1-4.20.

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4

Harun, Amrin F., Mauricio G. Prado, Siamack A. Shirazi, and Dale R. Doty. "Two-Phase Flow Modeling of Inducers." Journal of Energy Resources Technology 126, no. 2 (June 1, 2004): 140–48. http://dx.doi.org/10.1115/1.1738124.

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Inducers, which are classified as axial flow pumps with helical path blades, are used within rotary gas separators commonly used in electrical submersible pump installations. A two-phase flow model has been developed to study the inducer performance, focusing on head generation. The proposed model is based on a meridional flow solution technique and utilizes a two-fluid approach. The model indicates that head degradation due to gas presence is a function of flow pattern. The effect of flow pattern diminishes when the void fraction is greater than 15 percent since the centrifugal force dominates the interfacial drag force. In this case, the two-phase flow can be approximated as a homogeneous mixture. The model also suggests that a liquid displacement correction is needed when phase segregation occurs inside the inducer. The new model significantly improves the ability to predict separation efficiency of a rotary gas separator over existing models. Hydrocarbon-air and water-air experimental data were gathered to validate the new model.

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5

Fabre, J., and A. Line. "Modeling of Two-Phase Slug Flow." Annual Review of Fluid Mechanics 24, no. 1 (January 1992): 21–46. http://dx.doi.org/10.1146/annurev.fl.24.010192.000321.

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6

Madsen, S., C. Veje, and M. Willatzen. "Dynamic Modeling of Phase Crossings in Two-Phase Flow." Communications in Computational Physics 12, no. 4 (October 2012): 1129–47. http://dx.doi.org/10.4208/cicp.190511.111111a.

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AbstractTwo-phase flow and heat transfer, such as boiling and condensing flows, are complicated physical phenomena that generally prohibit an exact solution and even pose severe challenges for numerical approaches. If numerical solution time is also an issue the challenge increases even further. We present here a numerical implementation and novel study of a fully distributed dynamic one-dimensional model of two-phase flow in a tube, including pressure drop, heat transfer, and variations in tube cross-section. The model is based on a homogeneous formulation of the governing equations, discretized by a high resolution finite difference scheme due to Kurganov and Tadmore.The homogeneous formulation requires a set of thermodynamic relations to cover the entire range from liquid to gas state. This leads a number of numerical challenges since these relations introduce discontinuities in the derivative of the variables and are usually very slow to evaluate. To overcome these challenges, we use an interpolation scheme with local refinement.The simulations show that the method handles crossing of the saturation lines for both liquid to two-phase and two-phase to gas regions. Furthermore, a novel result obtained in this work, the method is stable towards dynamic transitions of the inlet/outlet boundaries across the saturation lines. Results for these cases are presented along with a numerical demonstration of conservation of mass under dynamically varying boundary conditions. Finally we present results for the stability of the code in a case of a tube with a narrow section.

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7

Hunt, J. C. R., R. J. Perkins, and J. C. H. Fung. "Problems in Modeling Disperse Two-Phase Flows." Applied Mechanics Reviews 47, no. 6S (June 1, 1994): S49—S60. http://dx.doi.org/10.1115/1.3124441.

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This review touches on some of the fundamental problems in this subject and some practical solutions, viz: (i) the force on a small rigid particle, solid or gaseous; a general heuristic expression is presented for a spherical particle based on combining the limiting cases of inviscid non-uniform flow and simple viscous flow; (ii) how the lift and acceleration forces produce non-uniform distributions of bubbles in non-uniform turbulent pipe flows inclined at different angles to the horizontal; computer simulations are presented using the results of (i); (iii) the relative contributions of the spatial and temporal fluctuations to the difference between the diffusivities of solid and fluid particles; an idealised model of small inertial particles in turbulent motion gives useful insight; (iv) the differences in the spectra of their velocities; hypotheses based on (iii) tested by computing the trajectories of particles in velocity fields that simulate turbulence (Kinematic Simulation); (v) how low concentrations of particles interact between each other and affect the average flow field.

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8

Karpov, S. A. "Modeling of Two-Phase Flow Thermohydraulic Characteristics." Heat Transfer Research 29, no. 1-3 (1998): 26–33. http://dx.doi.org/10.1615/heattransres.v29.i1-3.40.

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9

VASENIN, Igor Michailovich, and Nikolay Nikolaevich DYACHENKO. "MATHEMATICAL MODELING OF THE TWO-PHASE FLOW." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 38(6) (December 1, 2015): 60–72. http://dx.doi.org/10.17223/19988621/38/8.

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10

Halama, Jan, Fayssal Benkhaldoun, and Jaroslav Fořt. "Numerical modeling of two-phase transonic flow." Mathematics and Computers in Simulation 80, no. 8 (April 2010): 1624–35. http://dx.doi.org/10.1016/j.matcom.2009.02.004.

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11

Hasan, A. R., C. S. Kabir, and M. Sayarpour. "Simplified two-phase flow modeling in wellbores." Journal of Petroleum Science and Engineering 72, no. 1-2 (May 2010): 42–49. http://dx.doi.org/10.1016/j.petrol.2010.02.007.

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12

Pereira, B. S. A., P. M. Sobrinho, and L. R. Carrocci. "A BRIEF STUDY ABOUT TWO-PHASE FLOW (LIQUID + GAS) MATHEMATICAL MODELING." Revista de Engenharia Térmica 12, no. 1 (June 30, 2013): 54. http://dx.doi.org/10.5380/reterm.v12i1.62030.

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This work presents a brief study about mathematical modeling of two-phase flow (liquid + gas), approaching homogeneous phase flows and heterogeneous phase flows, in addition to mathematical modeling of pressure drop in flow restriction through abrupt expansions and abrupt contractions. Also presents a summary of flow patterns main types and a brief study about how the flow velocity influences these patterns.

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13

Dobran, F. "Nonequilibrium Modeling of Two-Phase Critical Flows in Tubes." Journal of Heat Transfer 109, no. 3 (August 1, 1987): 731–38. http://dx.doi.org/10.1115/1.3248151.

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A nonequilibrium two-phase flow model is described for the analysis of critical flows in variable diameter tubes. Modeling of the two-phase flow mixture in the tube is accomplished by utilizing a one-dimensional form of conservation and balance equations of two-phase flow which account for the relative velocity and temperature differences between the phases. Closure of the governing equations was performed with the constitutive equations which account for different flow regimes, and the solution of the nonlinear set of six differential equations was accomplished by a variable step numerical procedure. Computations were carried out for a steam-water mixture with varying degrees of liquid subcooling and stagnation pressures in the vessel upstream of the tube and for different tube lengths. The numerical results are compared with the experimental data involving critical flows with variable liquid subcoolings, stagnation pressures, and tube lengths, and it is shown that the nonequilibrium model predicts well the critical flow rate, pressure distribution along the tube, and the tube exit pressure.

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14

Meziou, Amine, Zurwa Khan, Taoufik Wassar, Matthew A. Franchek, Reza Tafreshi, and Karolos Grigoriadis. "Dynamic Modeling of Two-Phase Gas/Liquid Flow in Pipelines." SPE Journal 24, no. 05 (April 22, 2019): 2239–63. http://dx.doi.org/10.2118/194213-pa.

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Summary Presented is a reduced–order thermal fluid dynamic model for gas/liquid two–phase flow in pipelines. Specifically, a two–phase–flow thermal model is coupled with a two–phase–flow hydraulics model to estimate the gas and liquid properties at each pressure and temperature condition. The proposed thermal model estimates the heat–transfer coefficient for different flow patterns observed in two–phase flow. For distributed flows, where the two phases are well–mixed, a weight–based averaging is used to estimate the equivalent fluid thermal properties and the overall heat–transfer coefficient. Conversely, for segregated flows, where the two phases are separated by a distinct interface, the overall heat–transfer coefficient is dependent on the liquid holdup and pressure drop estimated by the fluid model. Intermittent flows are considered as a combination of distributed and segregated flow. The integrated model is developed by dividing the pipeline into segments. Equivalent fluid properties are identified for each segment to schedule the coefficients of a modal approximation of the transient single–phase–flow pipeline–distributed–parameter model to obtain dynamic pressure and flow rate, which are used to estimate the transient temperature response. The resulting model enables a computationally efficient estimation of the pipeline–mixture pressure, temperature, two–phase–flow pattern, and liquid holdup. Such a model has utility for flow–assurance studies and real–time flow–condition monitoring. A sensitivity analysis is presented to estimate the effect of model parameters on the pipeline–mixture dynamic response. The model predictions of mixture pressure and temperature are compared with an experimental data set and OLGA (2014) simulations to assess model accuracy.

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15

Kačur, Jozef, Benny Malengier, and Pavol Kišon. "Numerical Modeling of Two Phase Flow under Centrifugation." Defect and Diffusion Forum 326-328 (April 2012): 221–26. http://dx.doi.org/10.4028/www.scientific.net/ddf.326-328.221.

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Numerical modeling of two-phase flow under centrifugation is presented in 1D.A new method is analysed to determine capillary-pressure curves. This method is based onmodeling the interface between the zone containing only wetting liquid and the zone containingwetting and non wetting liquids. This interface appears when into a fully saturated sample withwetting liquid we inject a non-wetting liquid. By means of this interface an efficient and correctnumerical approximation is created based upon the solution of ODE and DAE systems. Bothliquids are assumed to be immiscible and incompressible. This method is a good candidate tobe used in solution of inverse problem. Some numerical experiments are presented.

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16

Awad, M. M., and Y. S. Muzychka. "Two-Phase Flow Modeling in Microchannels and Minichannels." Heat Transfer Engineering 31, no. 13 (November 2010): 1023–33. http://dx.doi.org/10.1080/01457631003639059.

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17

Liu, Dayou, and Guodong Jin. "Modeling two-phase flow in pulsed fluidized bed." China Particuology 1, no. 3 (July 2003): 95–104. http://dx.doi.org/10.1016/s1672-2515(07)60119-5.

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18

Németh, Márton, and András Poppe. "Two-phase Taylor-flow reduced order thermal modeling." Microsystem Technologies 23, no. 9 (December 31, 2015): 4011–24. http://dx.doi.org/10.1007/s00542-015-2796-9.

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19

Házi, Gábor, Attila R. Imre, Gusztáv Mayer, and István Farkas. "Lattice Boltzmann methods for two-phase flow modeling." Annals of Nuclear Energy 29, no. 12 (August 2002): 1421–53. http://dx.doi.org/10.1016/s0306-4549(01)00115-3.

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20

Colarossi, Michael, Nathaniel Trask, David P. Schmidt, and Mark J. Bergander. "Multidimensional modeling of condensing two-phase ejector flow." International Journal of Refrigeration 35, no. 2 (March 2012): 290–99. http://dx.doi.org/10.1016/j.ijrefrig.2011.08.013.

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21

Venetsanos, Alexandros G. "Homogeneous non-equilibrium two-phase choked flow modeling." International Journal of Hydrogen Energy 43, no. 50 (December 2018): 22715–26. http://dx.doi.org/10.1016/j.ijhydene.2018.10.053.

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22

Ding, Xudong, Wenjian Cai, Peiyong Duan, and Jia Yan. "Hybrid dynamic modeling for two phase flow condensers." Applied Thermal Engineering 62, no. 2 (January 2014): 830–37. http://dx.doi.org/10.1016/j.applthermaleng.2013.10.034.

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23

Yoon, H. J., M. Ishii, and S. T. Revankar. "Choking flow modeling with mechanical non-equilibrium for two-phase two-component flow." Nuclear Engineering and Design 236, no. 18 (September 2006): 1886–901. http://dx.doi.org/10.1016/j.nucengdes.2006.02.007.

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24

Neumann, Rebecca, Peter Bastian, and Olaf Ippisch. "Modeling and simulation of two-phase two-component flow with disappearing nonwetting phase." Computational Geosciences 17, no. 1 (October 21, 2012): 139–49. http://dx.doi.org/10.1007/s10596-012-9321-3.

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25

Kataoka, Isao, Kenji Yoshida, Masanori Naitoh, Hidetoshi Okada, and Tadashi Morii. "ICONE19-43077 MODELING AND VERIFICATION OF TURBULENT TRANSPORT OF INTERFACIAL AREA CONCENTRATION IN GAS-LIQUID TWO-PHASE FLOW." Proceedings of the International Conference on Nuclear Engineering (ICONE) 2011.19 (2011): _ICONE1943. http://dx.doi.org/10.1299/jsmeicone.2011.19._icone1943_25.

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26

Kim, Seungjin, Mamoru Ishii, Ran Kong, and Guanyi Wang. "Progress in two-phase flow modeling: Interfacial area transport." Nuclear Engineering and Design 373 (March 2021): 111019. http://dx.doi.org/10.1016/j.nucengdes.2020.111019.

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27

Kaya, A. S., C. Sarica, and J. P. Brill. "Mechanistic Modeling of Two-Phase Flow in Deviated Wells." SPE Production & Facilities 16, no. 03 (August 1, 2001): 156–65. http://dx.doi.org/10.2118/72998-pa.

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28

Lage, Antonio C. V. M., Kjell K. Fjelde, and Rune W. Time. "Underbalanced Drilling Dynamics: Two-Phase Flow Modeling and Experiments." SPE Journal 8, no. 01 (March 1, 2003): 61–70. http://dx.doi.org/10.2118/83607-pa.

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29

Shi, Hua, Jonathan A. Holmes, Louis J. Durlofsky, Khalid Aziz, Luis Diaz, Banu Alkaya, and Gary Oddie. "Drift-Flux Modeling of Two-Phase Flow in Wellbores." SPE Journal 10, no. 01 (March 1, 2005): 24–33. http://dx.doi.org/10.2118/84228-pa.

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30

ANSARI, Mohammad Reza. "Effect of Pressure on Two-Phase Stratified Flow Modeling." Journal of Nuclear Science and Technology 41, no. 7 (July 2004): 709–14. http://dx.doi.org/10.1080/18811248.2004.9715537.

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31

Podowski, Michael Z. "Multidimensional modeling of two‐phase flow and heat transfer." International Journal of Numerical Methods for Heat & Fluid Flow 18, no. 3/4 (May 22, 2008): 491–513. http://dx.doi.org/10.1108/09615530810853691.

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32

Wang, Yun, Suman Basu, and Chao-Yang Wang. "Modeling two-phase flow in PEM fuel cell channels." Journal of Power Sources 179, no. 2 (May 2008): 603–17. http://dx.doi.org/10.1016/j.jpowsour.2008.01.047.

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33

Ortner, Franziska, and Marco Mazzotti. "Two-Phase Flow in Liquid Chromatography, Part 2: Modeling." Industrial & Engineering Chemistry Research 57, no. 9 (February 14, 2018): 3292–307. http://dx.doi.org/10.1021/acs.iecr.7b05154.

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34

Kreiss, Gunilla. "Modeling of contact line dynamics for two-phase flow." PAMM 7, no. 1 (December 2007): 1141603–4. http://dx.doi.org/10.1002/pamm.200700417.

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35

Oychueva, B. R. "NUMERICAL SIMULATION OF TWO-PHASE FLOW." Heralds of KSUCTA, №1, 2022, no. 1-2022 (March 14, 2022): 202–9. http://dx.doi.org/10.35803/1694-5298.2022.1.202-209.

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This article presents the results of a multiphase flow numerical calculations. The numerical modeling method used in this work includes a volume of fluid model and immersed boundary method for studying the flow structure. The simulation was carried out on a structured Cartesian adaptive grid, where the immersed boundary is a circular pipe. The volume of the liquid, based on the piecewise linear interface reconstruction, allows us to determine the liquid-liquid boundary. The Navier-Stokes equations are discretized over the entire domain using a finite-difference scheme. The possibilities of the hybrid model (Volume of Fluid model – VOF and the immersed boundary method) are demonstrated by examples in which complex topological changes in the boundary occur. The general methodology has passed a thorough series of verification tests, the results of which are presented in this paper. An application for calculating the water flow is presented.

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36

Villaret, C., and A. G. Davies. "Modeling Sediment-Turbulent Flow Interactions." Applied Mechanics Reviews 48, no. 9 (September 1, 1995): 601–9. http://dx.doi.org/10.1115/1.3023148.

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Models of widely differing complexity have been used in recent years to quantify sediment transport processes for engineering applications. This paper presents a review of these model types, from simple eddy viscosity models involving the “passive scalar hypothesis” for sediment predication, to complex two-phase flow models. The specific points addressed in this review include, for the suspension layer, the bottom boundary conditions, the relationship between the turbulent eddy viscosity and particle diffusivity, the damping of turbulence by vertical gradients in suspended sediment concentration, and hindered settling. For the high-concentration near-bed layer, the modeling of particle interactions is discussed mainly with reference to two-phase flow models. The paper concludes with a comparison between the predictions of both a classical, one-equation, turbulence k-model and a two-phase flow model, with “starved bed” experimental data sets obtained in steady, open-channel flow.

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37

Rosa, Euge^nio S., and Rigoberto E. M. Morales. "Experimental and Numerical Development of a Two-Phase Venturi Flow Meter." Journal of Fluids Engineering 126, no. 3 (May 1, 2004): 457–67. http://dx.doi.org/10.1115/1.1758267.

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An algebraic model is developed access the gas and the liquid flow rates of a two-phase mixture through a Venturi tube. The flow meter operates with upward bubbly flows with low gas content, i.e., volumetric void fraction bellow 12%. The algebraic model parameters stem from numerical modeling and its output is checked against the experimental values. An indoor test facility operating with air-water and air-glycerin mixtures in a broad range of gas and liquid flow rates reproduces the upward bubbly flow through the Venturi tube. Measurements of gas and liquid flow rates plus the static pressure acroos the Venturi constitute the experimental database. The numerical flow modeling uses the isothermal, axis-symmetric with no phase change representation of the Two-Fluid model. The numerical output feeds the Venturi’s algebraic model with the proper constants and parameters embodying the two-phase flow physics. The novelty of this approach is the development of each flow meter model accordingly to its on characteristics. The flow predictions deviates less than 14% from experimental data while the mixture pipe Reynolds number spanned from 500 to 50,000.

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38

Guan, Qiangshun, Yit Fatt Yap, Hongying Li, and Zhizhao Che. "Modeling of Nanofluid-Fluid Two-Phase Flow and Heat Transfer." International Journal of Computational Methods 15, no. 08 (October 31, 2018): 1850072. http://dx.doi.org/10.1142/s021987621850072x.

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This paper presents a model for two-phase nanofluid-fluid flow and heat transfer. The nonuniform nanoparticles are transported using Buongiorno model by convection, Brownian diffusion and thermophoresis. This is the first attempt to employ Buongiorno model for two-phase nanofluid-fluid flow. The moving interface between the nanofluid and the immiscible fluid is captured using the level-set method. The model is first verified and then demonstrated for coupled flow and heat transfer in (1) a water–alumina nanofluid-filled cavity with a rising silicone oil drop and (2) stratified flow of water–alumina nanofluid, pure water and silicone oil in a channel.

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39

Khudayarov, Bakhtiyar, Kholidakhon Komilova, and Fozilzhon Turaev. "Numerical Modeling of pipes conveying gas-liquid two-phase flow." E3S Web of Conferences 97 (2019): 05022. http://dx.doi.org/10.1051/e3sconf/20199705022.

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Results of studies of the oscillations of pipelines conveying a two-phase slug flow are presented in the paper. A viscoelastic model of the theory of beams and the Winkler base model are used in the study of pipeline oscillations with a gas-containing slug flowing inside. The Boltzmann-Volterra hereditary theory of the viscoelasticity is used to describe the viscoelastic properties of the pipeline material and earth bases. The effect of gas and liquid phases flow rates, influence of tensile forces in the longitudinal direction of the pipeline, parameters of Winkler bases, parameters of singularity in the heredity kernels and geometric parameters of the pipeline on the oscillations of structures with viscoelastic properties are numerically studied. It is revealed that an increase in the length of the gas bubble zone leads to a decrease in the amplitude and oscillation frequency of the pipeline. The critical rates for a two-phase slug flow are determined. It is revealed that an increase in the soil density of the bases leads to an increase in the critical rate of gas flow. It is shown that an account of viscoelastic properties of structure material and earth bases leads to a decrease in the critical flow rate.

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40

Krutil, Jaroslav, František Pochylý, and Simona Fialová. "CFD Modeling Two-phase Flow in the Rotationally Symmetric Bodies." Transactions of the VŠB - Technical University of Ostrava, Mechanical Series 60, no. 1 (June 30, 2014): 63–68. http://dx.doi.org/10.22223/tr.2014-1/1979.

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41

Yerdesh, Y., Y. Belyayev, D. Baiseitov, and M. Murugesan. "Modeling two-phase flow in pipe of the solar collector." International Journal of Mathematics and Physics 9, no. 1 (2018): 12–19. http://dx.doi.org/10.26577/ijmph.2018.v9i1.243.

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42

Ouzi, Mohamed, Bennasser Bahrar, and Mohamed Tamani. "Modeling Two-Phase Water Hammer Flow Using Shock-Capturing Scheme." International Review of Mechanical Engineering (IREME) 15, no. 8 (August 31, 2021): 424. http://dx.doi.org/10.15866/ireme.v15i8.20978.

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43

Zaghloul, Jose, Michael A. Adewumi, and Mku T. Ityokumbul. "Compositional Modeling of Two-Phase (Gas/Water) Flow in Pipes." SPE Journal 14, no. 04 (December 1, 2009): 811–19. http://dx.doi.org/10.2118/111136-pa.

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44

Manabe, R., T. Tochikawa, M. Tsukuda, and N. Arihara. "Experimental and Modeling Studies of Two-Phase Flow in Pipelines." SPE Production & Facilities 12, no. 04 (November 1, 1997): 212–17. http://dx.doi.org/10.2118/37017-pa.

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45

Finsterle, Stefan, and Karsten Pruess. "Solving the Estimation-Identification Problem in Two-Phase Flow Modeling." Water Resources Research 31, no. 4 (April 1995): 913–24. http://dx.doi.org/10.1029/94wr03038.

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46

Zeng, Weizhi, Shijie Wang, and Michael L. Free. "Two-Phase Flow Modeling of Copper Electrorefining Involving Impurity Particles." Journal of The Electrochemical Society 164, no. 9 (2017): E233—E241. http://dx.doi.org/10.1149/2.0401709jes.

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47

Efendiev, Y., and L. J. Durlofsky. "Numerical modeling of subgrid heterogeneity in two phase flow simulations." Water Resources Research 38, no. 8 (August 2002): 3–1. http://dx.doi.org/10.1029/2000wr000190.

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48

Meknassi, Fouad, Rachid Benkirane, Alain Liné, and Lucien Masbernat. "Numerical modeling of wavy stratified two-phase flow in pipes." Chemical Engineering Science 55, no. 20 (October 2000): 4681–97. http://dx.doi.org/10.1016/s0009-2509(00)00070-1.

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49

Ringstad, Knut Emil, Yosr Allouche, Paride Gullo, Åsmund Ervik, Krzysztof Banasiak, and Armin Hafner. "A detailed review on CO2 two-phase ejector flow modeling." Thermal Science and Engineering Progress 20 (December 2020): 100647. http://dx.doi.org/10.1016/j.tsep.2020.100647.

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50

Minami, K. "Pigging dynamics in two-phase flow pipelines: experiment and modeling." International Journal of Multiphase Flow 22 (December 1996): 145–46. http://dx.doi.org/10.1016/s0301-9322(97)88561-8.

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