## What is/are Two Fluid Model?

Two Fluid Model - We propose the system of self-consistent equations for vortex plasma in the framework of hydrodynamic two-fluid model.^{[1]}It is based on a coupled simultaneous solving of the two-fluid model of two-phase flow in the boiling pool and the transient heat conduction within the heated wall.

^{[2]}We compared the results of solving the Taylor --- Couette --- Poiseuille flow problem using the novel two-fluid model and the SARC model.

^{[3]}A Euler-Euler two-fluid model coupled with the compressive discretization scheme for the capture of the liquid-gas interface and the Shear Stress Transport turbulence model was used to model the flow numerically.

^{[4]}In this study, the thermo-hydrodynamics of direct steam generation in the receiver of parabolic trough solar collector have been investigated using a two-fluid modeling approach.

^{[5]}Using the transfer matrix method and the two-fluid model, this study finds that when the sequence increases, the transmittance peaks split also increases.

^{[6]}The two-fluid model approach was coupled with an extended version of the uniform conversion model accounting for inert ash fraction.

^{[7]}The model used to carry out the numerical simulations stems on the Eulerian–Eulerian two-fluid model.

^{[8]}Therefore, the present work compares the numerical performance of a two-fluid model (TFM) and a dense discrete phase model (DDPM) in describing the hydrodynamic behavior of a pilot-scale bubbling bed reactor.

^{[9]}This provided a justification for the two-fluid model of Gorter and Casimir, a seminal thermodynamic theory founded on a postulate of zero entropy of the superconducting (S) component of conduction electrons.

^{[10]}From the low-pass filtering of the two-fluid model five unclosed sub-grid scale terms arise.

^{[11]}The present paper considers simulations of an isothermal counter-current stratified flow case in the channel of the WENKA (Water Entrainment Channel Karlsruhe) experiment using a morphology adaptive multi-field two-fluid modelling framework.

^{[12]}The solution algorithm is based on the application of a two-fluid model to the mass, momentum, and energy conservation equations, which are solved using a mixed implicit-explicit integration schema.

^{[13]}Since flashing scenarios often accompanying with high void fraction and broad bubble size range, a poly-disperse two-fluid model is recommended.

^{[14]}We present a detailed derivation of a simple hydrodynamic two-fluid model, which aims at the description of the phase separation of non-entangled polymer solutions, where viscoelastic effects play a role.

^{[15]}We consider the Dirichlet problem for a compressible two-fluid model in three dimensions, and obtain the global existence of weak solution with large initial data and independent adiabatic constants \Gamma,\gamma>=9/5.

^{[16]}The influence of estimates obtained from nine interfacial friction factor models on the accuracy of predicting pressure gradient, film thickness and gas void fraction was investigated by utilising a two-fluid model.

^{[17]}Bubble flow can be simulated by the two-fluid model and the multi-fluid model based on the Eulerian method.

^{[18]}A novel pressure-free two-fluid model formulation is proposed for the simulation of one-dimensional incompressible multiphase flow in pipelines and channels.

^{[19]}The influence of estimation of interfacial friction factor on accurate determination of film thickness, void fraction and pressure gradient was investigated using a two-fluid model.

^{[20]}In this paper, an extension of the classical Baer-Nunziato two-fluid model is presented in order to account for the non-condensable gases.

^{[21]}In this paper, a modified two-phase multi-scale interface model, which considering the concentration and morphology of interfacial area and the interfacial transfer of momentum, heat and mass, was compiled into the Eulerian two-fluid model in Fluent code to investigate the characteristics of two-phase flow.

^{[22]}Euler–Euler two-fluid model is used to describe dynamics of particles and fluid flow in the reactor.

^{[23]}Two-fluid model based on Euler-Euler approach is utilized to numerically simulate the gas-solid two phases flow within the RCFB.

^{[24]}Liquid-solid fluidization characteristics are predicted using a two-fluid model incorporating with the kinetic theory of rough spheres (KTRS) model.

^{[25]}The Euler–Euler two-fluid model was applied to simulate the interphase mass transfer in the PDDC.

^{[26]}We present a macroscopic two-fluid model to explain the breakdown of flow alignment in nematic liquid crystals under shear flow due to smectic clusters.

^{[27]}A Two-Fluid Model (TFM) is employed to describe the particle-fluid and particle-particle interactions while turbulence is described by the ω-based Reynolds Stress Model (RSM).

^{[28]}It eliminates the need for the static flow regime transition criteria and flow regime dependent IAC correlations used in closing the two-fluid model and therefore any potential artificial bifurcation or numerical oscillations stemming from these static correlations.

^{[29]}In this paper, an Eulerian-Eulerian two-fluid model on the basis of the kinetic theory of granular flow is applied to simulate the flow behavior of cuttings and drilling fluid in a horizontal well with hydraulic pulsed jet technology.

^{[30]}The code utilizes a hierarchical reactor system model to build the reactor model more conveniently, applies the general non-equilibrium non-homogeneous Euler-Euler six equation two-fluid models, and adopts a high-efficiency system solving algorithm.

^{[31]}We calculate the backreaction for this case and for a wide range of other two-fluid models.

^{[32]}High-resolution 3-D numerical simulations were performed using the two-fluid model based on the kinetic theory of granular flow.

^{[33]}This paper presents a 3 D numerical model of gas-solid flows in a fluidized bed based on the Two-Fluid Model (TFM).

^{[34]}For heavier-than-fluid particles, having settling velocity of the order of the bed friction velocity, the two-fluid model significantly under-estimates the turbulent dispersion of particles.

^{[35]}The two-fluid model for the numerical simulation of two-phase flows requires interaction laws between phases which are not known and/or reliable for a flow within a tube bundle.

^{[36]}Two-fluid model (TFM) simulation predictions of bubble and particle dynamics in a 3D cylindrical fluidized bed are compared with magnetic resonance imaging (MRI) measurements from a prior study acr.

^{[37]}A computational two-fluid model is developed in OpenFOAM® to enable high-fidelity predictive simulation of such suspension flows.

^{[38]}In this paper, we study the I-Love-Q relations for superfluid neutron stars for a general relativistic two-fluid model: one fluid being the neutron superfluid and the other a conglomerate of all charged components.

^{[39]}Landau thought that atoms are the medium in which excitations are propagated, through a two-fluid model.

^{[40]}By employing an improved two-fluid model, cell performance, liquid water distribution and pumping power in a single flow channel are numerically studied.

^{[41]}The thermodynamics calculations are based on the Peng- Robinson equation of state, and the momentum equations are based on the Single- Pressure Two-Fluid model.

^{[42]}This paper compares the results of the well-known Spalart-Allmares (SA) model and the two-fluid model for the flow around a heated flat plate.

^{[43]}In this work, the Eulerian two-fluid model framework was adapted to simulate the enzyme production by the filamentous fungi T.

^{[44]}The modeling approaches for the bubbly flow were: standard two-fluid model (TFM), hyperbolic TFM (hTFM), and mixture model (MixtM).

^{[45]}We investigate with a two-fluid model the convections developing in a gas–liquid two-phase flow, which consists of a horizontal liquid layer subject to the injection of monodisperse gas bubbles at the bottom.

^{[46]}Transmittance and absorption spectrum are explored theoretically by employing transfer matrix method and two-fluid model.

^{[47]}In this paper, the effects of resistance coefficient, wall roughness, and friction packing limit on particle velocity and distribution as well as the separation behaviors were studied in a cylindrical hydrocyclone using the two-fluid model.

^{[48]}The classic cavitation model and evaporation–condensation model, in combination with both the mixture two-phase flow model and Eulerian two-fluid model, are adopted to simulate flashing phenomenon.

^{[49]}The investigation applies the two-fluid modeling approach along with the kinetic theory of the granular flow.

^{[50]}

## two phase flow

It is based on a coupled simultaneous solving of the two-fluid model of two-phase flow in the boiling pool and the transient heat conduction within the heated wall.^{[1]}In this paper, a modified two-phase multi-scale interface model, which considering the concentration and morphology of interfacial area and the interfacial transfer of momentum, heat and mass, was compiled into the Eulerian two-fluid model in Fluent code to investigate the characteristics of two-phase flow.

^{[2]}The two-fluid model for the numerical simulation of two-phase flows requires interaction laws between phases which are not known and/or reliable for a flow within a tube bundle.

^{[3]}We investigate with a two-fluid model the convections developing in a gas–liquid two-phase flow, which consists of a horizontal liquid layer subject to the injection of monodisperse gas bubbles at the bottom.

^{[4]}The classic cavitation model and evaporation–condensation model, in combination with both the mixture two-phase flow model and Eulerian two-fluid model, are adopted to simulate flashing phenomenon.

^{[5]}A two-fluid model and a temperature equation are used to describe the gas-slurry two-phase flow.

^{[6]}Two-phase flow transport heavily depends on the generalized interfacial drag force term in the two-fluid model.

^{[7]}Based on Fluent software, the gas−liquid two-phase flow in the horizontal stirred tank was simulated with SST k−ω turbulence model, Eulerian−Eulerian two-fluid model, and multi-reference flame method.

^{[8]}In this paper, a unified model of oil-water two-phase flow in the complex pipeline is developed based on the combination of pipe serial-parallel theory, flow pattern transformation criterion, two-fluid model, and homogenous model.

^{[9]}ABSTRACT Exact solutions for separated two-phase flow are useful as a benchmark for numerical codes and for testing closure relations for simplified 1D Two-Fluid models.

^{[10]}This analysis provides bridges between different approaches to model two-phase flows (local instantaneous description, two-fluid model, local drift-flux model and spatially-averaged drift-flux model).

^{[11]}

## transfer matrix method

Using the transfer matrix method and the two-fluid model, this study finds that when the sequence increases, the transmittance peaks split also increases.^{[1]}Transmittance and absorption spectrum are explored theoretically by employing transfer matrix method and two-fluid model.

^{[2]}The transmittance spectrum is theoretically investigated by the Transfer Matrix Method and the Gorter Casimir Two-fluid model.

^{[3]}Using the transfer matrix method and the two-fluid model, two well-defined photonic gaps located in the infrared are accompanied by N resonant modes with high transmittance, where N depends on the number of aperiodic repetitions inserted within the periodic structure.

^{[4]}Through the transfer matrix method and two-fluid model, we observed that the transmittance peaks split as the Dodecanacci sequence increased.

^{[5]}

## interfacial friction factor

The influence of estimates obtained from nine interfacial friction factor models on the accuracy of predicting pressure gradient, film thickness and gas void fraction was investigated by utilising a two-fluid model.^{[1]}The influence of estimation of interfacial friction factor on accurate determination of film thickness, void fraction and pressure gradient was investigated using a two-fluid model.

^{[2]}The interfacial friction factor is an important closure model in the two-fluid model for the inverted annular film boiling (IAFB) regime.

^{[3]}

## population balance model

Based on the Euler-Euler-Lagrangian framework, the Euler-Euler two-fluid model coupled with population balance model (PBM) and the Discrete Phase Model (DPM) model were used to simulate the gas-liquid-solid three phase dynamic behavior in the laboratory bubble column.^{[1]}The Euler-Euler two-fluid model, integrated with the population balance model (PBM), is adopted to compute the flow and bubble size distribution (BSD).

^{[2]}

## Eulerian Two Fluid Model

Eulerian-Eulerian two fluid model along with appropriate wall boiling models and phase interaction models are used to model the different sections.^{[1]}The modified RPI model was used for the conditions of critical heat flux coupled to a Eulerian two fluid model.

^{[2]}The modified model of Rensselaer Polytechnic Institute was used for the conditions of critical heat flux coupled to a Eulerian two fluid model.

^{[3]}