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Journal articles on the topic 'Flow of immiscible fluids'

Author: Grafiati

Published: 28 June 2021

Last updated: 29 July 2025

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1

Yadav, Pramod Kumar, and Sneha Jaiswal. "Influence of an inclined magnetic field on the Poiseuille flow of immiscible micropolar–Newtonian fluids in a porous medium." Canadian Journal of Physics 96, no. 9 (2018): 1016–28. http://dx.doi.org/10.1139/cjp-2017-0998.

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The present problem is concerned with two-phase fluid flow through a horizontal porous channel in the presence of uniform inclined magnetic field. The micropolar fluid or Eringen fluid and Newtonian viscous fluid are flowing in the upper and lower regions of the horizontal porous channel, respectively. In this paper, the permeability of each region of the horizontal porous channel has been taken to be different. The effects of various physical parameters like angles of inclination of magnetic field, viscosity ratio, micropolarity parameter, etc., on the velocities, micro-rotational velocity of

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2

Chandrawat, Rajesh Kumar, Varun Joshi, and O. Anwar Bég. "Numerical Study of Interface Tracking for the Unsteady Flow of Two Immiscible Micropolar and Newtonian Fluids Through a Horizontal Channel with an Unstable Interface." Journal of Nanofluids 10, no. 4 (2021): 552–63. http://dx.doi.org/10.1166/jon.2021.1805.

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The dynamics of the interaction between immiscible fluids is relevant to numerous complex flows in nature and industry, including lubrication and coating processes, oil extraction, physicochemical separation techniques, etc. One of the most essential components of immiscible flow is the fluid interface, which must be consistently monitored. In this article, the unsteady flow of two immiscible fluids i.e., an Eringen micropolar and Newtonian liquid is considered in a horizontal channel. Despite the no-slip and hyper-stick shear stress condition at the channel edge, it is accepted that the liqui

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3

Mateen, Abdul. "Transient Magnetohydrodynamic flow of two immiscible Fluids through a horizontal channel." International Journal of Engineering Research 3, no. 1 (2014): 13–17. http://dx.doi.org/10.17950/ijer/v3s1/104.

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4

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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5

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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6

Salin, D., and L. Talon. "Revisiting the linear stability analysis and absolute–convective transition of two fluid core annular flow." Journal of Fluid Mechanics 865 (February 26, 2019): 743–61. http://dx.doi.org/10.1017/jfm.2019.71.

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Numerous experimental, numerical and theoretical studies have shown that core annular flows can be unstable. This instability can be convective or absolute in different situations: miscible fluids with matched density but different viscosities, creeping flow of two immiscible fluids or buoyant flow along a fibre. The analysis of the linear stability of the flow equation of two fluids injected in a co-current and concentric manner into a cylindrical tube leads to a rather complex eigenvalue problem. Until now, all analytical solution to this problem has involved strong assumptions (e.g. lack of

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7

Sahu, Kirti Chandra, and Rama Govindarajan. "Linear stability analysis and direct numerical simulation of two-layer channel flow." Journal of Fluid Mechanics 798 (June 13, 2016): 889–909. http://dx.doi.org/10.1017/jfm.2016.346.

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We study the stability of two-fluid flow through a plane channel at Reynolds numbers of 100–1000 in the linear and nonlinear regimes. The two fluids have the same density but different viscosities. The fluids, when miscible, are separated from each other by a mixed layer of small but finite thickness, across which the viscosity changes from that of one fluid to that of the other. When immiscible, the interface is sharp. Our study spans a range of Schmidt numbers, viscosity ratios and locations and thicknesses of the mixed layer. A region of instability distinct from that of the Tollmien–Schlic

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8

Lemenand, Thierry, Pascal Dupont, Dominique Della Valle, and Hassan Peerhossaini. "Turbulent Mixing of Two Immiscible Fluids." Journal of Fluids Engineering 127, no. 6 (2005): 1132–39. http://dx.doi.org/10.1115/1.2073247.

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The emulsification process in a static mixer HEV (high-efficiency vortex) in turbulent flow is investigated. This new type of mixer generates coherent large-scale structures, enhancing momentum transfer in the bulk flow and hence providing favorable conditions for phase dispersion. We present a study of the single-phase flow that details the flow structure, based on LDV measurements, giving access on the scales of turbulence. In addition, we discuss the liquid-liquid dispersion of oil in water obtained at the exit of the mixer/emulsifier. The generation of the dispersion is characterized by th

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9

Hasnain, A., E. Segura, and K. Alba. "Buoyant displacement flow of immiscible fluids in inclined pipes." Journal of Fluid Mechanics 824 (July 10, 2017): 661–87. http://dx.doi.org/10.1017/jfm.2017.367.

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We experimentally study the iso-viscous displacement flow of two immiscible Newtonian fluids in an inclined pipe. The fluids have the same viscosity but different densities. The displacing fluid is denser than the displaced fluid and is placed above the displaced fluid (i.e. a density-unstable configuration) in a pipe with small diameter-to-length ratio ($\unicode[STIX]{x1D6FF}\ll 1$). In the limit considered, six dimensionless groups describe these flows: the pipe inclination angle, $\unicode[STIX]{x1D6FD}$, an Atwood number, $At$, a Reynolds number, $Re$, a densimetric Froude number, $Fr$, a

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10

Ahn, Haejin, Seon-Ok Kim, Minhee Lee, and Sookyun Wang. "Migration and Residual Trapping of Immiscible Fluids during Cyclic Injection: Pore-Scale Observation and Quantitative Analysis." Geofluids 2020 (July 16, 2020): 1–13. http://dx.doi.org/10.1155/2020/4569208.

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Geological CO2 sequestration (GCS) is one of the most promising technologies for mitigating greenhouse gas emission into the atmosphere. In GCS operations, residual trapping is the most favorable form of a trapping mechanism because of its storage security and capacity. In this study, the effects of cyclic injection of CO2-water on the immiscible displacement and residual trapping in pore networks were examined. For the purpose, a series of injection experiments with five sets of drainage-imbibition cycles were performed using 2D transparent micromodels and a pair of proxy fluids, n-hexane, an

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11

Abd Elmaboud, Y., Sara I. Abdelsalam, Kh S. Mekheimer, and Kambiz Vafai. "Electromagnetic flow for two-layer immiscible fluids." Engineering Science and Technology, an International Journal 22, no. 1 (2019): 237–48. http://dx.doi.org/10.1016/j.jestch.2018.07.018.

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12

Pereira, G. G. "Pseudo-potential lattice Boltzmann model for large density and viscosity ratio fluids." AIP Advances 12, no. 4 (2022): 045314. http://dx.doi.org/10.1063/5.0087468.

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The flow of two immiscible fluid components with large density and viscosity ratios is considered. Using the pseudo-potential lattice Boltzmann model with a non-ideal equation of state and a mixture viscosity formulation, we can develop a model that successfully passes a series of benchmark tests, most importantly co-current layered flows, with no discontinuities in the velocity profiles at interfaces. The model is then applied to applications of bubbles rising in denser fluids and shows good quantitative agreement with previous numerical and experimental results. The model is also applied to

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13

IWATSUKI, HIROKI, NAOTO GOHKO, HIROSHI KIMURA, YUICHI MASUBUCHI, JUN-ICHI TAKIMOTO, and KIYOHITO KOYAMA. "MOLECULAR ORIENTATION AND ELECTROHYDRODYNAMIC FLOW IN HOMOGENEOUS ER FLUIDS." International Journal of Modern Physics B 15, no. 06n07 (2001): 973–79. http://dx.doi.org/10.1142/s0217979201005490.

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Homogeneous ER fluid is an ER fluid which consists of a homogeneous fluid only; it is neither a suspension nor a blend of immiscible liquids. Various liquid crystals are typical examples of homogeneous ER fluids. Recently, we have found that urethane-modified polypropylene glycol (UPPG) is one of the very few examples of homogeneous ER fluids which show no liquid crystalline order. In order to clarify the mechanism of the ER effect in this fluid, we have studied, in this paper, electrohydrodynamic flow under shear and electric field.

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14

Srinivas, J., J. V. Ramana Murthy, and Ali J. Chamkha. "Analysis of entropy generation in an inclined channel flow containing two immiscible micropolar fluids using HAM." International Journal of Numerical Methods for Heat & Fluid Flow 26, no. 3/4 (2016): 1027–49. http://dx.doi.org/10.1108/hff-09-2015-0354.

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Purpose – The purpose of this paper is to examine the flow, heat transfer and entropy generation characteristics for an inclined channel of two immiscible micropolar fluids. Design/methodology/approach – The flow region consists of two zones, the flow of the heavier fluid taking place in the lower zone. The flow is assumed to be governed by Eringen’s micropolar fluid flow equation. The resulting governing equations are then solved using the homotopy analysis method. Findings – The following findings are concluded: first, the entropy generation rate is more near the plates in both the zones as

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15

Hamza, F., A. M. Abd El-Latief, and W. Khatan. "Thermomechanical Fractional Model of Two Immiscible TEMHD." Advances in Materials Science and Engineering 2015 (2015): 1–16. http://dx.doi.org/10.1155/2015/391454.

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We introduce a mathematical model of unsteady thermoelectric MHD flow and heat transfer of two immiscible fractional second-grade fluids, with thermal fractional parametersαiand mechanical fractional parametersβi,i=1,2. The Laplace transform with respect to time is used to obtain the solution in the transformed domain. The inversion of Laplace transform is obtained by using numerical method based on a Fourier-series expansion. The numerical results for temperature, velocity, and the stress distributions are represented graphically for different values ofαiandβi. The graphs describe the fractio

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16

El-Khatib, Noaman A. F. "Immiscible Displacement of Non-Newtonian Fluids in Communicating Stratified Reservoirs." SPE Reservoir Evaluation & Engineering 9, no. 04 (2006): 356–65. http://dx.doi.org/10.2118/93394-pa.

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Summary The displacement of non-Newtonian power-law fluids in communicating stratified reservoirs with a log-normal permeability distribution is studied. Equations are derived for fractional oil recovery, water cut, injectivity ratio, and pseudorelative permeability functions, and the performance is compared with that for Newtonian fluids. Constant-injection-rate and constant-total-pressure-drop cases are studied. The effects of the following factors on performance are investigated: the flow-behavior indices, the apparent mobility ratio, the Dykstra-Parsons variation coefficient, and the flow

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17

Naumov I.V., Sharifullin B.R., and Shtern V.N. "Influence of the upper liquid layer on vortex breakdown in the bioreactor model." Technical Physics Letters 48, no. 10 (2022): 42. http://dx.doi.org/10.21883/tpl.2022.10.54797.19259.

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The motion caused by rotation of the upper disk in a stationary vertical cylindrical container filled with two immiscible fluids is studied experimentally. The vortex breakdown the emergence of reversed motion on the cylinder axis in the lower liquid is investigated as a function of the thickness of the upper liquid layer. It is found that despite the fact that the motion of the upper fluid converges spirally to the cylinder axis near the interface, the vortex breakdown in the lower fluid occurs similarly to what is observed in the case of a single fluid, with the upper disk swirling. This cur

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18

Chandrawat, Rajesh Kumar, Varun Joshi, and O. Anwar Bég. "Ion Slip and Hall Effects on Generalized Time-Dependent Hydromagnetic Couette Flow of Immiscible Micropolar and Dusty Micropolar Fluids with Heat Transfer and Dissipation: A Numerical Study." Journal of Nanofluids 10, no. 3 (2021): 431–46. http://dx.doi.org/10.1166/jon.2021.1792.

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The hydrodynamics of immiscible micropolar fluids are important in a variety of engineering problems, including biofluid dynamics of arterial blood flows, pharmacodynamics, Principle of Boundary layers, lubrication technology, short waves for heat-conducting fluids, sediment transportation, magnetohydrodynamics, multicomponent hydrodynamics, and electrohydrodynamic. Motivated by the development of biological fluid modeling and medical diagnosis instrumentation, this article examines the collective impacts of ion slip, viscous dissipation, Joule heating, and Hall current on unsteady generalized

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19

WANG, AN-LIN, RUO-FAN QIU, and QIANG CHEN. "AN LBM-BASED INVESTIGATION METHOD FOR THERMAL IMMISCIBLE MIXTURE FLUID FLOW IN RECTANGULAR MULTI-JET CAVITY." International Journal of Modern Physics B 28, no. 01 (2013): 1350198. http://dx.doi.org/10.1142/s0217979213501981.

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An investigation method for thermal immiscible mixture fluid flow in rectangular multi-jet cavity using lattice Boltzmann method (LBM) is presented to study influence of controllable factors on quality of mixture generated from the cavity. For immiscible mixture flow, contact area of fluids has great effect on generated mixture. The basic idea is to investigate the relationship between controllable factors and contact area of key components. The contact area is obtained through numerical simulation by an improved LBM, in which temperature equation is extended to multicomponent system. A case s

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20

Coskun, S. B., and T. Tokdemir. "Modelling of Permeation Grouting Through Soils." Journal of Applied Engineering Sciences 10, no. 1 (2020): 11–16. http://dx.doi.org/10.2478/jaes-2020-0003.

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AbstractIn this study, mathematical modeling of permeation grouting through fully saturated soil is proposed based on immiscible multiphase flow theory. Grout flow in the medium is modeled together with the existing water as the simultaneous flow of two immiscible fluids. In the model, the porous medium is assumed as isotropic and rigid, fluids are assumed as incompressible and capillary pressure is assumed as negligible. Governing equations are discretized using upstream weighted finite element technique and results show that, proposed models give good results and may be used in the numerical

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21

Zeybek, M., and Y. C. Yortsos. "Parallel flow in Hele-Shaw cells." Journal of Fluid Mechanics 241 (August 1992): 421–42. http://dx.doi.org/10.1017/s0022112092002106.

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We consider the parallel flow of two immiscible fluids in a Hele-Shaw cell. The evolution of disturbances on the fluid interfaces is studied both theoretically and experimentally in the large-capillary-number limit. It is shown that such interfaces support wave motion, the amplitude of which for long waves is governed by a set of KdV and Airy equations. The waves are dispersive provided that the fluids have unequal viscosities and that the space occupied by the inner fluid does not pertain to the Saffman-Taylor conditions (symmetric interfaces with half-width spacing). Experiments conducted in

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22

LIN, CHENFANG. "MODELING THE FLOW OF IMMISCIBLE FLUIDS IN SOILS." Soil Science 143, no. 4 (1987): 293–300. http://dx.doi.org/10.1097/00010694-198704000-00006.

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23

Chandrawat, Rajesh Kumar, and Varun Joshi. "Numerical Solution of the Time-Depending Flow of Immiscible Fluids with Fuzzy Boundary Conditions." International Journal of Mathematical, Engineering and Management Sciences 6, no. 5 (2021): 1315–30. http://dx.doi.org/10.33889/ijmems.2021.6.5.079.

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Fluid flow modeling using fuzzy boundary conditions is one of the viable areas in biofluid mechanics, drug suspension in pharmacology, as well as in the cytology and electrohydrodynamic analysis of cerebrospinal fluid data. In this article, a fuzzy solution for the two immiscible fluid flow problems is developed, which is motivated by biomechanical flow engineering. Two immiscible fluids, namely micropolar and Newtonian fluid, are considered with fuzzy boundary conditions in the horizontal channel. The flow is considered unsteady and carried out by applying a constant pressure gradient in the

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24

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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25

Coveney, P. V., J. B. Maillet, J. L. Wilson, P. W. Fowler, O. Al-Mushadani, and B. M. Boghosian. "Lattice-Gas Simulations of Ternary Amphiphilic Fluid Flow in Porous Media." International Journal of Modern Physics C 09, no. 08 (1998): 1479–90. http://dx.doi.org/10.1142/s0129183198001345.

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We develop our existing two-dimensional lattice-gas model to simulate the flow of single phase, binary immiscible and ternary amphiphilic fluids. This involves the inclusion of fixed obstacles on the lattice, together with the inclusion of "no-slip" boundary conditions. Here we report on preliminary applications of this model to the flow of such fluids within model porous media. We also construct fluid invasion boundary conditions, and the effects of invading aqueous solutions of surfactant on oil-saturated rock during imbibition and drainage are described.

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26

Bitla, Punnamchandar, and Fekadu Yemataw Sitotaw. "Hydromagnetic Flow of Two Immiscible Couple Stress Fluids in an Inclined Porous Channel: Effects of Slip Boundary." Mathematical Problems in Engineering 2023 (April 24, 2023): 1–18. http://dx.doi.org/10.1155/2023/9683532.

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In this study, we investigated the effects of slip boundary and magnetic field on the flow of two immiscible couple stress fluids in an inclined porous media channel. The Stokes model was used to define the two couple stress fluids. The fluids in both the regions are assumed to be incompressible and immiscible and the transport properties in the two regions are assumed to be constant. The governing coupled linear ordinary differential equations are made dimensionless by using appropriate fundamental quantities. The expressions for the velocity components in both the regions are obtained in clo

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27

Siddiqui, A. M., Q. A. Azim, and M. Imran. "Exact solutions for n-layer concentric flow of PTT fluids through a cylindrical pipe." Canadian Journal of Physics 98, no. 2 (2020): 134–41. http://dx.doi.org/10.1139/cjp-2019-0068.

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Flows of multiple layers of fluids are encountered in many industrial and manufacturing processes. This paper investigates the concentric n-layer flow for Phan–Thien–Tanner (PTT) fluids through a cylindrical pipe. Finitely many immiscible non-Newtonian fluids are considered to be flowing concentrically in a tube. The flow is modelled using the exponential PTT fluid model and exact solutions for velocity fields and volume flow rates are computed. It has been shown that the corresponding results for linear PTT fluid model as well as Newtonian fluids can be deduced from the obtained expressions,

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YADAV, PRAMOD KUMAR, Ankit Kumar, and A. N. FILIPPOV. "ANALYSIS OF ENTROPY PRODUCTION OF IMMISCIBLE MICROPOLAR AND NEWTONIAN FLUIDS FLOW THROUGH A CHANNEL: EFFECT OF THERMAL RADIATION AND MAGNETIC FIELD." Коллоидный журнал 85, no. 1 (2023): 101–21. http://dx.doi.org/10.31857/s0023291222700033.

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This paper aims to analyze the thermal characteristics, entropy production, flow velocity and Bejan number profile for immiscible nature of micropolar and Newtonian viscous fluid within a channel. Here, the authors emphasize the influence of thermal radiation and oriented magnetic field on the thermal profile and entropy generation of two different types of non-miscible and incompressible micropolar and Newtonian fluids in a channel. The viscous dissipation and thermal radiation effect are also considered in the thermal energy equation. In this work, the entropy production is analyzed within a

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29

Siddiqui, Abdul M., Maya K. Mitkova, and Ali R. Ansari. "On the Unsteady Flow of Two Incompressible Immiscible Second Grade Fluids between Two Parallel Plates." Advanced Materials Research 1016 (August 2014): 546–53. http://dx.doi.org/10.4028/www.scientific.net/amr.1016.546.

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Unsteady, pressure driven in the gap between two parallel plates flow of two non-Newtonian incompressible second grade fluids is considered. The governing equations are established for the particular two-layer flow and analytical solutions of the equations that satisfy the imposed boundary conditions are obtained. The velocity of each fluid is expressed as function of the material constants, time dependent pressure gradient and other characteristics of the fluids. As part of the solution, an expression for the interface velocity is derived. We analyze the shift of the velocity maximum from one

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30

Stamenkovic, Zivojin, Milos Kocic, Jasmina Bogdanovic-Jovanovic, and Jelena Petrovic. "Nano and micropolar MHD fluid flow and heat transfer in inclined channel." Thermal Science, no. 00 (2023): 170. http://dx.doi.org/10.2298/tsci230515170k.

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Magnetohydrodynamic (MHD) fluid flows attract a lot of attention in the extrusion of polymers, in the theory of nanofluids, as well as in the consideration of biological fluids. The considered problem in the paper is the flow and heat transfer of nano and micropolar fluid in inclined channel. Fluid flow is steady, while nano and micropolar fluids are incompressible, immiscible, and electrically conductive. The upper and lower channel plates are electrically insulated and maintained at constant and different temperatures. External applied magnetic field is perpendicular to the fluid flow and co

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31

Feo, Alessandra, and Fulvio Celico. "Investigating the migration of immiscible contaminant fluid flow in homogeneous and heterogeneous aquifers with high-precision numerical simulations." PLOS ONE 17, no. 4 (2022): e0266486. http://dx.doi.org/10.1371/journal.pone.0266486.

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Numerical modeling of the migration of three-phase immiscible fluid flow in variably saturated zones is challenging due to the different behavior of the system between unsaturated and saturated zones. This behavior results in the use of different numerical methods for the numerical simulation of the fluid flow depending on whether it is in the unsaturated or saturated zones. This paper shows that using a high-resolution shock-capturing conservative method to resolve the nonlinear governing coupled partial differential equations of a three-phase immiscible fluid flow allows the numerical simula

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Feo, Alessandra, and Fulvio Celico. "Investigating the migration of immiscible contaminant fluid flow in homogeneous and heterogeneous aquifers with high-precision numerical simulations." PLOS ONE 17, no. 4 (2022): e0266486. http://dx.doi.org/10.1371/journal.pone.0266486.

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Numerical modeling of the migration of three-phase immiscible fluid flow in variably saturated zones is challenging due to the different behavior of the system between unsaturated and saturated zones. This behavior results in the use of different numerical methods for the numerical simulation of the fluid flow depending on whether it is in the unsaturated or saturated zones. This paper shows that using a high-resolution shock-capturing conservative method to resolve the nonlinear governing coupled partial differential equations of a three-phase immiscible fluid flow allows the numerical simula

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33

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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Chamkha, Ali J. "Flow of Two-Immiscible Fluids in Porous and Nonporous Channels." Journal of Fluids Engineering 122, no. 1 (1999): 117–24. http://dx.doi.org/10.1115/1.483233.

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This study considers steady, laminar flow of two viscous, incompressible, electrically-conducting and heat-generating or absorbing immiscible fluids in an infinitely-long, impermeable parallel-plate channel filled with a uniform porous medium. A magnetic field of uniform strength is applied normal to the flow direction. The channel walls are assumed to be electrically nonconducting and are maintained at two different temperatures. When present, the porous medium is assumed to act as an electrical insulator and that it is in local thermal equilibrium with the fluid. The transport properties of

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35

Chamkha, Ali J., J. C. Umavathi, and Abdul Mateen. "Oscillatory Flow and Heat Transfer in Two Immiscible Fluids." International Journal of Fluid Mechanics Research 31, no. 1 (2004): 13–36. http://dx.doi.org/10.1615/interjfluidmechres.v31.i1.20.

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36

Misztal, Marek Krzysztof, Kenny Erleben, Adam Bargteil, et al. "Multiphase Flow of Immiscible Fluids on Unstructured Moving Meshes." IEEE Transactions on Visualization and Computer Graphics 20, no. 1 (2014): 4–16. http://dx.doi.org/10.1109/tvcg.2013.97.

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37

Murthy, J. V. Ramana, J. Srinivas, and K. S. Sai. "FLOW OF IMMISCIBLE MICROPOLAR FLUIDS BETWEEN TWO POROUS BEDS." Journal of Porous Media 17, no. 4 (2014): 287–300. http://dx.doi.org/10.1615/jpormedia.v17.i4.20.

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38

Tigrine, Z., F. Mokhtari, A. Bouabdallah, and M. Mahloul. "Experiments on two immiscible fluids in spherical Couette flow." Acta Mechanica 225, no. 1 (2013): 233–42. http://dx.doi.org/10.1007/s00707-013-0960-9.

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39

KERSWELL, R. R. "Exchange flow of two immiscible fluids and the principle of maximum flux." Journal of Fluid Mechanics 682 (July 8, 2011): 132–59. http://dx.doi.org/10.1017/jfm.2011.190.

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The steady, coaxial flow in which two immiscible, incompressible fluids of differing densities move past each other slowly in a vertical cylindrical tube has a continuum of possibilities due to the arbitrariness of the interface between the fluids. By invoking the presence of surface tension to at least restrict the shape of any interface to that of a circular arc or full circle, we consider the following question: which flow will maximise the exchange when there is only one dividing interface Γ? Surprisingly, the answer differs fundamentally from the better-known co-directional two-phase flow

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Kunti, Golak, Anandaroop Bhattacharya, and Suman Chakraborty. "Alternating current electrothermal modulated moving contact line dynamics of immiscible binary fluids over patterned surfaces." Soft Matter 13, no. 37 (2017): 6377–89. http://dx.doi.org/10.1039/c7sm00684e.

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In this paper, we report the results of our numerical study on incompressible flow of a binary system of two immiscible fluids in a parallel plate capillary using alternating current electrothermal kinetics as the actuation mechanism for flow.

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Devakar, M., Ankush Raje, and Shubham Hande. "Unsteady Flow of Couple Stress Fluid Sandwiched Between Newtonian Fluids Through a Channel." Zeitschrift für Naturforschung A 73, no. 7 (2018): 629–37. http://dx.doi.org/10.1515/zna-2017-0434.

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AbstractThe aim of this article is to study the unsteady flow of immiscible couple stress fluid sandwiched between Newtonian fluids through a horizontal channel. The fluids and plates are initially at rest. At an instant of time, a constant pressure gradient is applied along the horizontal direction to generate the flow. The time-dependent partial differential equations are solved numerically using the finite difference method. The continuity of velocities and shear stresses at the fluid-fluid interfaces has been considered. The obtained results are displayed through graphs and are discussed f

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EBMEYER, CARSTEN, and JOSÉ MIGUEL URBANO. "Quasi-steady Stokes flow of multiphase fluids with shear-dependent viscosity." European Journal of Applied Mathematics 18, no. 4 (2007): 417–34. http://dx.doi.org/10.1017/s0956792507006948.

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The quasi-steady power-law Stokes flow of a mixture of incompressible fluids with shear-dependent viscosity is studied. The fluids are immiscible and have constant densities. Existence results are presented for both the no-slip and the no-stick boundary value conditions. Use is made of Schauder's fixed-point theorem, compactness arguments, and DiPerna–Lions renormalized solutions.

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Zhang, Chao, and Igor Menshov. "Eulerian modelling of compressible three-fluid flows with surface tension." Russian Journal of Numerical Analysis and Mathematical Modelling 34, no. 4 (2019): 225–40. http://dx.doi.org/10.1515/rnam-2019-0019.

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Abstract The paper addresses a numerical approach for calculating three-fluid hydrodynamics on Eulerian grids with taking into account surface tension and viscous effects. The medium considered consists of three different compressible fluids separated with interfaces. The fluids are assumed to be immiscible. The three-fluid flow is described by the reduced equilibrium model derived from the non-equilibrium three-phase model by performing an asymptotic analysis in the limit of zero relaxation time. To simulate surface tension effects, we extend the continuum surface force (CSF) model of two-flu

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Zhang, Zheng Fu, Jun Wei Wang, and Feng Bao. "Numerical Simulation of the Nozzle with Self-Oscillating Flow Using the VOF Model." Advanced Materials Research 479-481 (February 2012): 2380–82. http://dx.doi.org/10.4028/www.scientific.net/amr.479-481.2380.

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The jet water shape of the nozzle will become a self-oscillating shape, if the triangle and U shape models are made into the normal nozzle. Using the VOF model , the jet shape of the nozzle will be simulated through a commercial CFD software 'FLUENT'. The VOF model (Volume of Fluid) is a surface-tracking technique applied to a fixed Eulerian mesh. It is designed for two or more immiscible fluids where the position of the interface between the fluids is of interest. The CFD simulation results shows that the jet shape of the nozzle is oscillate in a fixed period.

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Ansari, Ali R., Maya K. Mitkova, and Abdul M. Siddiqui. "Couette - Poiseuille Two-Layer Flow of a Third Grade Fluid." Applied Mechanics and Materials 390 (August 2013): 103–10. http://dx.doi.org/10.4028/www.scientific.net/amm.390.103.

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The two-layer Couette-Poiseuille flow of a third grade fluid is examined. The problem is reduced to solving nonlinear differential equations governing the motion of the two immiscible fluids in case of different thickness of layers. The solutions are used to study the effect of the third grade material parameter on the velocity profiles. The investigation focuses especially on the location of the velocity maximum as function of the viscosity and third grade material constant.

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Nikodijevic, Dragisa, Zivojin Stamenkovic, Milos Jovanovic, Milos Kocic, and Jelena Nikodijevic. "Flow and heat transfer of three immiscible fluids in the presence of uniform magnetic field." Thermal Science 18, no. 3 (2014): 1019–28. http://dx.doi.org/10.2298/tsci1403019n.

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The magnetohydrodynamic flow of three immiscible fluids in a horizontal channel with isothermal walls in the presence of an applied magnetic field has been investigated. All three fluids are electrically conducting, while the channel plates are electrically insulated. The general equations that describe the discussed problem under the adopted assumptions are reduced to ordinary differential equations and closed-form solutions are obtained in three fluid regions of the channel. Separate solutions with appropriate boundary conditions for each fluid have been obtained and these solutions have bee

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Siddiqui, Abdul, Muhammad Zeb, Tahira Haroon, and Qurat-ul-Ain Azim. "Exact Solution for the Heat Transfer of Two Immiscible PTT Fluids Flowing in Concentric Layers through a Pipe." Mathematics 7, no. 1 (2019): 81. http://dx.doi.org/10.3390/math7010081.

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This article investigates the heat transfer flow of two layers of Phan-Thien-Tanner (PTT) fluids though a cylindrical pipe. The flow is assumed to be steady, incompressible, and stable and the fluid layers do not mix with each other. The fluid flow and heat transfer equations are modeled using the linear PTT fluid model. Exact solutions for the velocity, flow rates, temperature profiles, and stress distributions are obtained. It has also been shown that one can recover the Newtonian fluid results from the obtained results by putting the non-Newtonian parameters to zero. These results match wit

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Srinivasan, Vijayaraghavan, and Kambiz Vafai. "Analysis of Linear Encroachment in Two-Immiscible Fluid Systems in a Porous Medium." Journal of Fluids Engineering 116, no. 1 (1994): 135–39. http://dx.doi.org/10.1115/1.2910221.

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The flow of two immiscible fluids in a porous medium was analyzed accounting for boundary and inertia effects. This problem was first solved by Muskat using Darcy’s equation for fluid flow in a saturated porous medium. In the present analysis the boundary and inertia effects have been included to predict the movement of the interfacial front that is formed as one fluid displaces the other. In the present work a theoretical study that accounts for the boundary and inertia effects in predicting the movement of the interface for linear encroachment in two immiscible fluid system in a porous mater

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Schulz, Volker Paul, Nima Abbaspour, Tobias Baumeister, and Thorsten Röder. "Lattice-Boltzmann Simulation and Experimental Validation of a Microfluidic T-Junction for Slug Flow Generation." ChemEngineering 3, no. 2 (2019): 48. http://dx.doi.org/10.3390/chemengineering3020048.

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We investigate the interaction of two immiscible fluids in a head-on device geometry, where both fluids are streaming opposite to each other. The simulations are based on the two-dimensional (2D) lattice Boltzmann method (LBM) using the Rothman and Keller (RK) model. We validate the LBM code with several benchmarks such as the bubble test, static contact angle, and layered flow. For the first time, we simulate a head-on device by forcing periodicity and a volume force to induce the flow. From low to high flow rates, three main flow patterns are observed in the head-on device, which are drippin

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Stamenkovic, Zivojin, Milos Kocic, Jelena Petrovic, and Milica Nikodijevic. "Flow and heat transfer of three immiscible fluids in the presence of electric and inclined magnetic field." Thermal Science 22, Suppl. 5 (2018): 1575–89. http://dx.doi.org/10.2298/tsci18s5575s.

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The MHD flow of three immiscible fluids in a horizontal channel with isothermal walls in the presence of an applied electric and inclined magnetic field has been investigated in the paper. All three fluids are electrically conducting, while the channel plates are electrically insulated. The general equations that describe the discussed problem under the adopted assumptions are reduced to ODE and closed-form solutions are obtained in three fluid regions of the channel. Separate solutions with appropriate boundary and interface conditions for each fluid have been determined. The analytical resul

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