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Artykuły w czasopismach na temat „Immiscible two-Phase flow”

Autor: Grafiati

Data publikacji: 30 listopada 2024

Data aktualizacji: 31 lipca 2025

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1

Deng, Yongbo, Zhenyu Liu, and Yihui Wu. "Topology Optimization of Capillary, Two-Phase Flow Problems." Communications in Computational Physics 22, no. 5 (2017): 1413–38. http://dx.doi.org/10.4208/cicp.oa-2017-0003.

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AbstractThis paper presents topology optimization of capillary, the typical two-phase flow with immiscible fluids, where the level set method and diffuse-interface model are combined to implement the proposed method. The two-phase flow is described by the diffuse-interface model with essential no slip condition imposed on the wall, where the singularity at the contact line is regularized by the molecular diffusion at the interface between two immiscible fluids. The level set method is utilized to express the fluid and solid phases in the flows and the wall energy at the implicit fluid-solid in

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2

Sun, Wen Tao, and Huai Yu Zhang. "Finite element method for two-phase immiscible flow." Numerical Methods for Partial Differential Equations 15, no. 4 (1999): 407–16. http://dx.doi.org/10.1002/(sici)1098-2426(199907)15:4<407::aid-num1>3.0.co;2-w.

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3

Mitrović, Darko, and Andrej Novak. "Two-Phase Nonturbulent Flow with Applications." Mathematical Problems in Engineering 2015 (2015): 1–8. http://dx.doi.org/10.1155/2015/439704.

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We model dynamics of two almost immiscible fluids of different densities using the Stokes equations with the Dirac distribution representing the sink or source point. The equations are solved by regularizing the Dirac distribution and then using an iterative procedure based on the finite element method. Results have potential applications in water pollution problems and we present two relevant situations. In the first one, we simulate extraction of a light liquid trapped at the bottom of a pond/lake and, after being disturbed, it rises toward the surface. In the second case, we simulate heavy

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4

Shao, Sihong, and Tiezheng Qian. "A Variational Model for Two-Phase Immiscible Electroosmotic Flow at Solid Surfaces." Communications in Computational Physics 11, no. 3 (2012): 831–62. http://dx.doi.org/10.4208/cicp.071210.040511a.

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AbstractWe develop a continuum hydrodynamic model for two-phase immiscible flows that involve electroosmotic effect in an electrolyte and moving contact line at solid surfaces. The model is derived through a variational approach based on the On-sager principle of minimum energy dissipation. This approach was first presented in the derivation of a continuum hydrodynamic model for moving contact line in neutral two-phase immiscible flows (Qian, Wang, and Sheng, J. Fluid Mech. 564, 333-360 (2006)). Physically, the electroosmotic effect can be formulated by the Onsager principle as well in the lin

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5

Langlo, Peder, and Magne S. Espedal. "Macrodispersion for two-phase, immiscible flow in porous media." Advances in Water Resources 17, no. 5 (1994): 297–316. http://dx.doi.org/10.1016/0309-1708(94)90033-7.

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6

Chen, Zhangxin. "Numerical Analysis for Two-phase Flow in Porous Media." Computational Methods in Applied Mathematics 3, no. 1 (2003): 59–75. http://dx.doi.org/10.2478/cmam-2003-0006.

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Abstract In this paper we derive error estimates for finite element approximations for partial differential systems which describe two-phase immiscible flows in porous media. These approximations are based on mixed finite element methods for pressure and velocity and characteristic finite element methods for saturation. Both incompressible and compressible flows are considered. Error estimates of optimal order are obtained.

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7

Xu, Peng, Ming-Zhou Yu, Shu-Xia Qiu, and Bo-Ming Yu. "Monte Carlo simulation of a two-phase flow in an unsaturated porous media." Thermal Science 16, no. 5 (2012): 1382–85. http://dx.doi.org/10.2298/tsci1205382x.

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Relative permeability is a significant transport property which describes the simultaneous flow of immiscible fluids in porous media. A pore-scale physical model is developed for the two-phase immiscible flow in an unsaturated porous media according to the statistically fractal scaling laws of natural porous media, and a predictive calculation of two-phase relative permeability is presented by Monte Carlo simulation. The tortuosity is introduced to characterize the highly irregular and convoluted property of capillary pathways for fluid flow through a porous medium. The computed relative perme

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8

YEH, LI-MING. "ON TWO-PHASE FLOW IN FRACTURED MEDIA." Mathematical Models and Methods in Applied Sciences 12, no. 08 (2002): 1075–107. http://dx.doi.org/10.1142/s0218202502002045.

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A model describing two-phase, incompressible, immiscible flow in fractured media is discussed. A fractured medium is regarded as a porous medium consisting of two superimposed continua, a continuous fracture system and a discontinuous system of medium-sized matrix blocks. Transport of fluids through the medium is primarily within the fracture system. No flow is allowed between blocks, and only matrix-fracture flow is possible. Matrix block system plays the role of a global source distributed over the entire medium. Two-phase flow in a fractured medium is strongly related to phase mobilities an

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9

HOWISON, SAM D. "A note on the two-phase Hele-Shaw problem." Journal of Fluid Mechanics 409 (April 25, 2000): 243–49. http://dx.doi.org/10.1017/s0022112099007740.

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We discuss some techniques for finding explicit solutions to immiscible two-phase flow in a Hele-Shaw cell, exploiting properties of the Schwartz function of the interface between the fluids. We also discuss the question of the well-posedness of this problem.

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10

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

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11

Dongxiao, Zhang, and Hamdi Tchelepi. "Stochastic Analysis of Immiscible Two-Phase Flow in Heterogeneous Media." SPE Journal 4, no. 04 (1999): 380–88. http://dx.doi.org/10.2118/59250-pa.

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12

Valdes-Parada, Francisco J., and G. Espinosa-Paredes. "Darcy's Law for Immiscible Two-Phase Flow: A Theoretical Development." Journal of Porous Media 8, no. 6 (2005): 557–67. http://dx.doi.org/10.1615/jpormedia.v8.i6.20.

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13

Riaz, Amir, and Hamdi A. Tchelepi. "Numerical simulation of immiscible two-phase flow in porous media." Physics of Fluids 18, no. 1 (2006): 014104. http://dx.doi.org/10.1063/1.2166388.

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14

TSUMAYA, Akira, and Hirotada OHASHI. "Immiscible Lattice Gases for Two-Phase Flow with Different Densities." Transactions of the Japan Society of Mechanical Engineers Series B 67, no. 659 (2001): 1687–93. http://dx.doi.org/10.1299/kikaib.67.1687.

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15

Saad, Mazen. "Slightly compressible and immiscible two-phase flow in porous media." Nonlinear Analysis: Real World Applications 15 (January 2014): 12–26. http://dx.doi.org/10.1016/j.nonrwa.2013.04.008.

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16

Sinha, Santanu, and Alex Hansen. "Effective rheology of immiscible two-phase flow in porous media." EPL (Europhysics Letters) 99, no. 4 (2012): 44004. http://dx.doi.org/10.1209/0295-5075/99/44004.

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17

Espedal, Magne S., and Richard E. Ewing. "Characteristic petrov-galerkin subdomain methods for two-phase immiscible flow." Computer Methods in Applied Mechanics and Engineering 64, no. 1-3 (1987): 113–35. http://dx.doi.org/10.1016/0045-7825(87)90036-3.

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18

Fadimba, Koffi B. "Pressure/Saturation System for Immiscible Two-Phase Flow: Uniqueness Revisited." Applied Mathematics 02, no. 05 (2011): 541–50. http://dx.doi.org/10.4236/am.2011.25071.

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19

Roman, Sophie, Cyprien Soulaine, Moataz Abu AlSaud, Anthony Kovscek, and Hamdi Tchelepi. "Particle velocimetry analysis of immiscible two-phase flow in micromodels." Advances in Water Resources 95 (September 2016): 199–211. http://dx.doi.org/10.1016/j.advwatres.2015.08.015.

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20

Kim, Junseok. "A diffuse-interface model for axisymmetric immiscible two-phase flow." Applied Mathematics and Computation 160, no. 2 (2005): 589–606. http://dx.doi.org/10.1016/j.amc.2003.11.020.

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21

Sun, Wentao. "VARIABLE GRID FINITE DIFFERENCE METHOD FOR TWO-DIMENSIONAL TWO-PHASE IMMISCIBLE FLOW." Acta Mathematica Scientia 18, no. 4 (1998): 379–86. http://dx.doi.org/10.1016/s0252-9602(17)30591-x.

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22

Kozubková, Milada, Jana Jablonská, Marian Bojko, František Pochylý, and Simona Fialová. "Multiphase Flow in the Gap Between Two Rotating Cylinders." MATEC Web of Conferences 328 (2020): 02017. http://dx.doi.org/10.1051/matecconf/202032802017.

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The research of liquids composed of two (or more) mutually immiscible components is a new emerging area. These liquids represent new materials, which can be utilized as lubricants, liquid seals or as fluid media in biomechanical devices. The investigation of the problem of immiscible liquids started some years ago and soon it was evident that it will have a great application potential. Recently, there has been an effort to use ferromagnetic or magnetorheological fluids in the construction of dumpers or journal bearings. Their advantage is a significant change in dynamic viscosity depending on

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23

Herard, Jean-Marc, and Guillaume Jomée. "Pressure relaxation in some multiphase flow models." ESAIM: Proceedings and Surveys 72 (2023): 19–40. http://dx.doi.org/10.1051/proc/202372019.

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We consider in this paper multiphase flow models involving two, three or four fields, in total mechanical and thermodynamical disequilibrium. Thus several pressure fields arise, and we precisely focus here on the pressure relaxation process, while restricting to four distinct multiphase flow models. The first two models only involve immiscible compressible components, while the last two hybrid models involve both miscible and immiscible components. It is shown that some -weak- restrictions may occur on pressure gaps, which are unlikely to appear in practice. Evenmore, three-phase flow models m

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24

KOCH, JAN, ANDREAS RÄTZ, and BEN SCHWEIZER. "Two-phase flow equations with a dynamic capillary pressure." European Journal of Applied Mathematics 24, no. 1 (2012): 49–75. http://dx.doi.org/10.1017/s0956792512000307.

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We investigate the motion of two immiscible fluids in a porous medium described by a two-phase flow system. In the capillary pressure relation, we include static and dynamic hysteresis. The model is well established in the context of the Richards equation, which is obtained by assuming a constant pressure for one of the two phases. We derive an existence result for this hysteresis two-phase model for non-degenerate permeability and capillary pressure curves. A discretization scheme is introduced and numerical results for fingering experiments are obtained. The main analytical tool is a compact

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25

Whitaker, Stephen. "Flow in porous media II: The governing equations for immiscible, two-phase flow." Transport in Porous Media 1, no. 2 (1986): 105–25. http://dx.doi.org/10.1007/bf00714688.

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26

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 (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–al

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27

Bussac, Jean. "Study of relaxation processes in a two-phase flow model." ESAIM: Proceedings and Surveys 72 (2023): 2–18. http://dx.doi.org/10.1051/proc/202372002.

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This work concerns the analysis of the relaxation processes toward thermodynamical equilibrium arising in a compressible immiscible two-phase flow. Classically the relaxation processes are taken into account through dynamical systems which are coupled to the dynamics of the flow. The present paper compares two types of source terms which are commonly used: a BGK-like system and a mixture entropy gradient type. For both systems, main properties are investigated (agreement with second principle of thermodynamics, existence of solutions, maximum principle,...) and numerical experiments illustrate

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28

Biancofiore, Luca, François Gallaire, Patrice Laure, and Elie Hachem. "Direct numerical simulations of two-phase immiscible wakes." Fluid Dynamics Research 46, no. 4 (2014): 041409. http://dx.doi.org/10.1088/0169-5983/46/4/041409.

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29

Allen, F. R., and D. A. Puckett. "Theoretical and Experimental Studies of Rate-Dependent Two-Phase Immiscible Flow." SPE Production Engineering 1, no. 01 (1986): 62–74. http://dx.doi.org/10.2118/10972-pa.

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30

Amaziane, B., L. Pankratov, and A. Piatnitski. "Homogenization of immiscible compressible two–phase flow in random porous media." Journal of Differential Equations 305 (December 2021): 206–23. http://dx.doi.org/10.1016/j.jde.2021.10.012.

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31

Suekane, Tetsuya, and Taiyo Kitani. "C121 Natural convection of immiscible two-phase flow in porous media." Proceedings of the Thermal Engineering Conference 2013 (2013): 73–74. http://dx.doi.org/10.1299/jsmeted.2013.73.

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32

Izumi, Reona, and Tetsuya Suekane. "Behavior of fingering of immiscible two phase flow in porous media." Proceedings of the Thermal Engineering Conference 2016 (2016): I132. http://dx.doi.org/10.1299/jsmeted.2016.i132.

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33

Gunstensen, Andrew K., and Daniel H. Rothman. "Lattice-Boltzmann studies of immiscible two-phase flow through porous media." Journal of Geophysical Research: Solid Earth 98, B4 (1993): 6431–41. http://dx.doi.org/10.1029/92jb02660.

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34

Amaziane, B., M. Jurak, L. Pankratov, and A. Piatnitski. "Homogenization of nonisothermal immiscible incompressible two-phase flow in porous media." Nonlinear Analysis: Real World Applications 43 (October 2018): 192–212. http://dx.doi.org/10.1016/j.nonrwa.2018.02.012.

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35

Hochmuth, David P., and Daniel K. Sunada. "Ground-Water Model of Two-Phase Immiscible Flow in Coarse Material." Ground Water 23, no. 5 (1985): 617–26. http://dx.doi.org/10.1111/j.1745-6584.1985.tb01510.x.

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36

Jurak, Mladen, Alexandre Koldoba, Andrey Konyukhov, and Leonid Pankratov. "Nonisothermal immiscible compressible thermodynamically consistent two-phase flow in porous media." Comptes Rendus Mécanique 347, no. 12 (2019): 920–29. http://dx.doi.org/10.1016/j.crme.2019.11.015.

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37

Zhang, Xu Bin, Dan Chen, Yan Wang, and Wang Feng Cai. "Liquid-Liquid Two-Phase Flow Patterns and Mass Transfer Characteristics in a Circular Microchannel." Advanced Materials Research 482-484 (February 2012): 89–94. http://dx.doi.org/10.4028/www.scientific.net/amr.482-484.89.

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In this paper, flow patterns and mass transfer characteristics of two immiscible fluids in a T-junction circular microchannel were investigated. Four flow patterns, i.e. slug flow, irregular flow, parallel flow and annular flow, were captured by a CCD method, which were resulted from the competition among interfacial tension, viscous force and inertia force. Besides, the overall volumetric mass transfer coefficients ka for the four flow patterns was determined experimentally. The values of ka are in the range of 0.006~0.545s−1 and mainly dependent on the superficial velocity and the flow patte

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38

Hérard, J. M., and H. Mathis. "A three-phase flow model with two miscible phases." ESAIM: Mathematical Modelling and Numerical Analysis 53, no. 4 (2019): 1373–89. http://dx.doi.org/10.1051/m2an/2019028.

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The paper concerns the modelling of a compressible mixture of a liquid, its vapor and a gas. The gas and the vapor are miscible while the liquid is immiscible with the gaseous phases. This assumption leads to non symmetric constraints on the void fractions. We derive a three-phase three-pressure model endowed with an entropic structure. We show that interfacial pressures are uniquely defined and propose entropy-consistent closure laws for the source terms. Naturally one exhibits that the mechanical relaxation complies with Dalton’s law on the phasic pressures. Then the hyperbolicity and the ei

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39

Yan, Guanxi, Zi Li, Thierry Bore, Sergio Andres Galindo Torres, Alexander Scheuermann, and Ling Li. "Discovery of Dynamic Two-Phase Flow in Porous Media Using Two-Dimensional Multiphase Lattice Boltzmann Simulation." Energies 14, no. 13 (2021): 4044. http://dx.doi.org/10.3390/en14134044.

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The dynamic two-phase flow in porous media was theoretically developed based on mass, momentum conservation, and fundamental constitutive relationships for simulating immiscible fluid-fluid retention behavior and seepage in the natural geomaterial. The simulation of transient two-phase flow seepage is, therefore, dependent on both the hydraulic boundaries applied and the immiscible fluid-fluid retention behavior experimentally measured. Many previous studies manifested the velocity-dependent capillary pressure–saturation relationship (Pc-S) and relative permeability (Kr-S). However, those work

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40

YEH, LI-MING. "HOMOGENIZATION OF TWO-PHASE FLOW IN FRACTURED MEDIA." Mathematical Models and Methods in Applied Sciences 16, no. 10 (2006): 1627–51. http://dx.doi.org/10.1142/s0218202506001650.

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In a fractured medium, there is an interconnected system of fracture planes dividing the porous rock into a collection of matrix blocks. The fracture planes, while very thin, form paths of high permeability. Most of the fluids reside in matrix blocks, where they move very slow. Let ε denote the size ratio of the matrix blocks to the whole medium and let the width of the fracture planes and the porous block diameter be in the same order. If permeability ratio of matrix blocks to fracture planes is of order ε2, microscopic models for two-phase, incompressible, immiscible flow in fractured media

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41

Guérillot, Dominique, Mostafa Kadiri, and Saber Trabelsi. "Buckley–Leverett Theory for Two-Phase Immiscible Fluids Flow Model with Explicit Phase-Coupling Terms." Water 12, no. 11 (2020): 3041. http://dx.doi.org/10.3390/w12113041.

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The theory of two-phase immiscible flow in porous media is based on the extension of single phase models through the concept of relative permeabilities. It mimics Darcy’s law for a fixed average saturation through the introduction of saturation-based permeabilities to model the momentum exchange between the phases. In this paper, we present a model of two-phase flow, based on the extension of Darcy’s law including the effect of capillary pressure, but considering in addition the coupling between the phases modeled through flow cross-terms. In this work, we extend the Buckley–Leverett theory to

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42

Gong, Wenbo, and Jinhui Liu. "Effect of Wettability Heterogeneity on Water-Gas Two-Phase Displacement Behavior in a Complex Pore Structure by Phase-Field Model." Energies 15, no. 20 (2022): 7658. http://dx.doi.org/10.3390/en15207658.

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Understanding the immiscible displacement mechanism in porous media is vital to enhancing the hydrocarbon resources in the oil and gas reservoir. Improving resource recovery requires quantitatively characterizing the effect of wettability heterogeneity on the immiscible displacement behaviors at the pore scale, which can be used to predict the displacement distribution of multiphase fluids and evaluate the optimal wettability strategy in porous media. The heterogeneity of fluid wettability in a natural rock makes it extremely hard to directly observe the fluid displacement behaviors in the res

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43

Sorbie, K. S., A. Y. Al Ghafri, A. Skauge, and E. J. Mackay. "On the Modelling of Immiscible Viscous Fingering in Two-Phase Flow in Porous Media." Transport in Porous Media 135, no. 2 (2020): 331–59. http://dx.doi.org/10.1007/s11242-020-01479-w.

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Abstract Viscous fingering in porous media is an instability which occurs when a low-viscosity injected fluid displaces a much more viscous resident fluid, under miscible or immiscible conditions. Immiscible viscous fingering is more complex and has been found to be difficult to simulate numerically and is the main focus of this paper. Many researchers have identified the source of the problem of simulating realistic immiscible fingering as being in the numerics of the process, and a large number of studies have appeared applying high-order numerical schemes to the problem with some limited su

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44

Jurak, M., L. Pankratov, and A. Vrbaški. "Discretization schemes for the two simplified global double porosity models of immiscible incompressible two-phase flow." Journal of Physics: Conference Series 2701, no. 1 (2024): 012077. http://dx.doi.org/10.1088/1742-6596/2701/1/012077.

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Abstract We present the discretization schemes for the two simplified homogenized models of immiscible incompressible two-phase flow in double porosity media with thin fractures. The two models were derived previously by the authors by different linearizations of the nonlinear local problem called the imbibition equation which appears in the homogenized model after passage to the limit as ε → 0. The models are fully homogenized with the matrix-fracture source terms expressed as a convolution.

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45

Sham Bansal, Ishu Goyal. "Tracking Fluid-Fluid Interface In Microchannels Using The Volume Of Fluid Method." Nanotechnology Perceptions 20, no. 1 (2024): 244–57. https://doi.org/10.62441/nano-ntp.v20i1.5307.

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The current research investigates the two-phase flow of immiscible fluids passing a cylindrical obstruction. Numerical simulations were conducted using Ansys Fluent 17.0 to characterize the resulting flow patterns. The liquid-liquid interface was tracked using the Volume of Fluid (VOF) technique. The VOF multiphase flow model is effective in predicting the global behavior of liquid-liquid two-phase flows. In this work, two immiscible liquids with varying viscosities were made to flow adjacently in separate phases. The observed flow patterns were correlated with the Capillary and Reynolds numbe

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46

Dou, Zhi, Zhifang Zhou, Yefei Tan, and Yanzhang Zhou. "Numerical Study of the Influence of Cavity on Immiscible Liquid Transport in Varied-Wettability Fractures." Journal of Chemistry 2015 (2015): 1–10. http://dx.doi.org/10.1155/2015/961256.

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Field evidence indicates that cavities often occur in fractured rocks, especially in a Karst region. Once the immiscible liquid flows into the cavity, the cavity has the immiscible liquid entrapped and results in a low recovery ratio. In this paper, the immiscible liquid transport in cavity-fractures was simulated by Lattice Boltzmann Method (LBM). The interfacial and surface tensions were incorporated by Multicomponent Shan-Chen (MCSC) model. Three various fracture positions were generated to investigate the influence on the irreducible nonwetting phase saturation and displacement time. The i

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47

Chessa, J., and T. Belytschko. "An Extended Finite Element Method for Two-Phase Fluids." Journal of Applied Mechanics 70, no. 1 (2003): 10–17. http://dx.doi.org/10.1115/1.1526599.

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An extended finite element method with arbitrary interior discontinuous gradients is applied to two-phase immiscible flow problems. The discontinuity in the derivative of the velocity field is introduced by an enrichment with an extended basis whose gradient is discontinuous across the interface. Therefore, the finite element approximation can capture the discontinuities at the interface without requiring the mesh to conform to the interface, eliminating the need for remeshing. The equations for incompressible flow are solved by a fractional step method where the advection terms are stabilized

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Amaziane, B., M. Jurak, L. Pankratov, and A. Piatnitski. "Homogenization of nonisothermal immiscible incompressible two-phase flow in double porosity media." Nonlinear Analysis: Real World Applications 61 (October 2021): 103323. http://dx.doi.org/10.1016/j.nonrwa.2021.103323.

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Joshaghani, M. S., B. Riviere, and M. Sekachev. "Maximum-principle-satisfying discontinuous Galerkin methods for incompressible two-phase immiscible flow." Computer Methods in Applied Mechanics and Engineering 391 (March 2022): 114550. http://dx.doi.org/10.1016/j.cma.2021.114550.

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Jeptanui, Flomena, Jacob Bitok, and Titus Rotich. "Two Phase Immiscible Fluids Flow Through A Porous Media: Finite Volume Approach." International Journal of Scientific and Research Publications (IJSRP) 11, no. 12 (2021): 460–69. http://dx.doi.org/10.29322/ijsrp.11.12.2021.p12067.

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