## 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.

Coupled two-fluid flow and wall heat conduction modeling of nucleate pool boiling

## 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.

Studies on the critical heat flux in fuel assembly using a modified two-phase multi-scale interface model—validation and sensitivity analysis

## Using the transfer matrix method and the two-fluid model, this study finds that when the sequence increases, the transmittance peaks split also increases.

Transmittance spectrum in a Rudin Shapiro quasiperiodic one-dimensional photonic crystal with superconducting layers

## Transmittance and absorption spectrum are explored theoretically by employing transfer matrix method and two-fluid model.

Investigation of transmission properties in defective one dimensional superconductive photonic crystal for ultralow level bioethanol detection

## 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.

A Two-Fluid Model for High-Viscosity Upward Annular Flow in Vertical Pipes

## 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.

A Two-Fluid Model for High Viscosity Upward Annular Flow in Vertical Pipes

## 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.

Numerical Simulation of Gas-Liquid-Solid Three Phase in Bubble Column

## The Euler-Euler two-fluid model, integrated with the population balance model (PBM), is adopted to compute the flow and bubble size distribution (BSD).

Effects of flow velocity and bubble size distribution on oxygen mass transfer in bubble column reactors - A critical evaluation of the CFD-PBM model.

## Eulerian-Eulerian two fluid model along with appropriate wall boiling models and phase interaction models are used to model the different sections.

New methodology for modeling pressure drop and thermal hydraulic characteristics in long vertical boiler tubes at high pressure

## The modified RPI model was used for the conditions of critical heat flux coupled to a Eulerian two fluid model.

Effect of non-uniform concentrated solar flux on direct steam generation in vertical pipes of solar tower receivers

## We propose the system of self-consistent equations for vortex plasma in the framework of hydrodynamic two-fluid model.

Self-consistent hydrodynamic two-fluid model of vortex plasma

10.1080/10407782.2021.1935047

## 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.

Coupled two-fluid flow and wall heat conduction modeling of nucleate pool boiling

10.18698/1812-3368-2021-2-25-36

## We compared the results of solving the Taylor --- Couette --- Poiseuille flow problem using the novel two-fluid model and the SARC model.

Comparing Turbulence Models for Swirling Flows

10.1016/J.PETROL.2021.109030

## 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.

Numerical and experimental analysis of vertically ascending swirling liquid film flow

10.1016/J.ENERGY.2021.120308

## 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.

Two-fluid modeling of direct steam generation in the receiver of parabolic trough solar collector with non-uniform heat flux

10.1016/J.PHYSC.2021.1353898

## Using the transfer matrix method and the two-fluid model, this study finds that when the sequence increases, the transmittance peaks split also increases.

Transmittance spectrum in a Rudin Shapiro quasiperiodic one-dimensional photonic crystal with superconducting layers

10.1016/J.POWTEC.2021.01.072

## The two-fluid model approach was coupled with an extended version of the uniform conversion model accounting for inert ash fraction.

Numerical modeling of a batch fluidized-bed gasifier: Interaction of chemical reaction, particle morphology development and hydrodynamics

10.1016/J.CHERD.2021.06.024

## The model used to carry out the numerical simulations stems on the Eulerian–Eulerian two-fluid model.

Numerical simulation of bubble columns: LES turbulence model and interphase forces blending approach

10.1016/J.POWTEC.2021.01.063

## 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.

Comparative CFD modeling of a bubbling bed using a Eulerian–Eulerian two-fluid model (TFM) and a Eulerian-Lagrangian dense discrete phase model (DDPM)

10.1007/s10948-021-05925-8

## 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.

Meissner Effect: History of Development and Novel Aspects

10.1007/s10494-021-00293-8

## From the low-pass filtering of the two-fluid model five unclosed sub-grid scale terms arise.

Sub-grid Scale Modelling and a-Posteriori Tests with a Morphology Adaptive Multifield Two-Fluid Model Considering Rising Gas Bubbles

10.1016/J.NUCENGDES.2021.111223

## 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.

Validation of a morphology adaptive multi-field two-fluid model considering counter-current stratified flow with interfacial turbulence damping

## 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.

Gas/Liquid Two-Phase Flow in Pipes: Slugs, Classical Flow-Map, and 1D Compositional Simulation

10.1016/J.APPLTHERMALENG.2020.116002

## Since flashing scenarios often accompanying with high void fraction and broad bubble size range, a poly-disperse two-fluid model is recommended.

A review on numerical modelling of flashing flow with application to nuclear safety analysis

10.1088/1361-648X/ac0d17

## 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.

Systematic derivation of hydrodynamic equations for viscoelastic phase separation

10.1007/S00526-021-02032-3

## 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.

On global solutions to a viscous compressible two-fluid model with unconstrained transition to single-phase flow in three dimensions

## 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.

A Two-Fluid Model for High-Viscosity Upward Annular Flow in Vertical Pipes

## Bubble flow can be simulated by the two-fluid model and the multi-fluid model based on the Eulerian method.

Investigation on Bubble Diameter Distribution in Upward Flow by the Two-Fluid and Multi-Fluid Models

10.1016/J.JCP.2020.109919

## A novel pressure-free two-fluid model formulation is proposed for the simulation of one-dimensional incompressible multiphase flow in pipelines and channels.

A novel pressure-free two-fluid model for one-dimensional incompressible multiphase flow

10.20944/preprints202104.0164.v1

## 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.

A Two-Fluid Model for High Viscosity Upward Annular Flow in Vertical Pipes

10.1016/J.APM.2021.06.020

## In this paper, an extension of the classical Baer-Nunziato two-fluid model is presented in order to account for the non-condensable gases.

Simulations of liquid-vapor water flows with non-condensable gases on the basis of a two-fluid model

10.1016/J.IJHEATMASSTRANSFER.2021.121443

## 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.

Studies on the critical heat flux in fuel assembly using a modified two-phase multi-scale interface model—validation and sensitivity analysis

10.1142/S2010132521500188

## Euler–Euler two-fluid model is used to describe dynamics of particles and fluid flow in the reactor.

A Computational Study on Inter-Phase Heat Transfer in a Conical Fluidized Bed Reactor Using Hot Air

10.1007/S12650-020-00736-W

## Two-fluid model based on Euler-Euler approach is utilized to numerically simulate the gas-solid two phases flow within the RCFB.

Influence of Stokes number on the particle phase distribution behaviors in a rolling circulating fluidized beds (RCFB)

10.1016/J.POWTEC.2021.07.029

## Liquid-solid fluidization characteristics are predicted using a two-fluid model incorporating with the kinetic theory of rough spheres (KTRS) model.

Hydrodynamics of wet particles in liquid-solid fluidized beds using kinetic theory of rough spheres model

10.1016/J.CES.2020.116184

## The Euler–Euler two-fluid model was applied to simulate the interphase mass transfer in the PDDC.

Experimental and numerical study of liquid–liquid interphase mass transfer in a pilot-scale extraction column

10.1103/PhysRevE.103.012705

## 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.

Two-fluid model for the breakdown of flow alignment in nematic liquid crystals.

10.1016/J.POWTEC.2021.07.047

## 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).

CFD simulation of tailings slurry thickening in a gravity thickener

10.1016/J.NUCENGDES.2020.111019

## 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.

Progress in two-phase flow modeling: Interfacial area transport

10.1016/j.petrol.2020.107745

## 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.

Simulation study on cutting transport in a horizontal well with hydraulic pulsed jet technology

10.1016/J.PNUCENE.2021.103880

## 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.

The development of ARSAC for modeling nuclear power plant system

10.1103/PhysRevD.104.083522

## We calculate the backreaction for this case and for a wide range of other two-fluid models.

Backreaction from inhomogeneous matter fields during large-scale structure formation

10.1016/J.CJCHE.2021.03.040

## High-resolution 3-D numerical simulations were performed using the two-fluid model based on the kinetic theory of granular flow.

Computational study of bubble coalescence/break-up behaviors and bubble size distribution in a 3-D pressurized bubbling gas-solid fluidized bed of Geldart A particles

10.1177/0954408920987695

## This paper presents a 3 D numerical model of gas-solid flows in a fluidized bed based on the Two-Fluid Model (TFM).

Three-dimensional computational fluid dynamics investigation of hydrodynamics behaviour of gas–solid flow in fluidized bed of Geldart D particles

## 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.

A finite-size correction model for two-fluid large-eddy simulation of particle-laden boundary layer flow

## 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.

Numerical Prediction of Two-Phase Flow through a Tube Bundle Based on Reduced-Order Model and a Void Fraction Correlation

10.1021/ACS.IECR.1C00050

## 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.

Comparison of Two-Fluid Model Simulations of Freely Bubbling Three-Dimensional Gas-Fluidized Beds with Magnetic Resonance Imaging Results

10.1109/ITherm51669.2021.9503267

## A computational two-fluid model is developed in OpenFOAM® to enable high-fidelity predictive simulation of such suspension flows.

Two-Fluid Modeling of Dense Particulate Suspensions for Electronics Cooling

10.3390/universe7040111

## 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.

The I-Love-Q Relations for Superfluid Neutron Stars

10.1088/1361-6404/abf97d

## Landau thought that atoms are the medium in which excitations are propagated, through a two-fluid model.

An historical account of the two-fluid theory for superfluidity

10.1016/J.IJHYDENE.2020.12.178

## By employing an improved two-fluid model, cell performance, liquid water distribution and pumping power in a single flow channel are numerically studied.

A numerical study of orientated-type flow channels with porous-blocked baffles of proton exchange membrane fuel cells

10.1016/J.PETROL.2021.108923

## 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.

A fully implicit EOS based compositional two-phase transient flow simulator in wellbores

10.1051/E3SCONF/202126401008

## 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.

Models results Comparison of different approaches to turbulence for flow past a heated flat plate

10.1016/j.ces.2020.116033

## In this work, the Eulerian two-fluid model framework was adapted to simulate the enzyme production by the filamentous fungi T.

Scale-up of aerated bioreactors: CFD validation and application to the enzyme production by Trichoderma reesei

10.1016/J.CES.2021.116503

## The modeling approaches for the bubbly flow were: standard two-fluid model (TFM), hyperbolic TFM (hTFM), and mixture model (MixtM).

Estimation of the spatial discretization error in numerical simulations of bubbly flows

## 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.

Bifurcation analysis of bubble-induced convection in a horizontal liquid layer: role of forces on bubbles

10.1016/J.IJLEO.2021.167733

## Transmittance and absorption spectrum are explored theoretically by employing transfer matrix method and two-fluid model.

Investigation of transmission properties in defective one dimensional superconductive photonic crystal for ultralow level bioethanol detection

10.1016/J.POWTEC.2021.07.061

## 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.

The effects of solid shear stress and wall roughness on the simulation of cylindrical hydrocyclone classification

10.1016/J.NUCENGDES.2021.111385

## 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.

Numerical simulation of micro-crack leakage on steam generator heat transfer tube

10.1016/J.PARTIC.2021.01.006

## The investigation applies the two-fluid modeling approach along with the kinetic theory of the granular flow.

Gas–solid flow in a diffuser: Effect of inter-particle and particle–wall collisions

10.1016/J.COMPFLUID.2021.105070

## Aiming to partially answer this question, we present in this work numerical simulations of two well-known gas-liquid benchmarks, the water faucet, and the shock tube problems, carried out with two two-fluid models – 4E1P (four equations and one pressure) and 5E2P (five equations and two pressures) – in association with three numerical methods – FCT (Flux-Corrected Transport method), FORCE (First-Order Centered Scheme) and ModFORCE.

A suitability analysis of transient one-dimensional two-fluid numerical models for simulating two-phase gas-liquid flows based on benchmark problems

10.1080/00295639.2021.1898920

## A new dynamic verification of the one-dimensional (1-D) computational Two-Fluid Model (TFM) using the Type II density wave instability (DWI) theory of Ishii is presented.

Density Wave Instability Verification of 1-D Computational Two-Fluid Model

10.1016/J.APT.2021.05.025

## In the framework of the Euler-Euler gas–solid two-fluid model, the particle population balance equation is solved by the direct quadrature method of moment.

Evaluation of direct quadrature method of moment for the internally circulating fluidized bed simulation with ultrafine particles

10.1016/j.ces.2020.116235

## Simulations of large-scale gas-particle flows using coarse meshes and the filtered two-fluid model approach depend critically on the constitutive model that accounts for the effects of sub-grid scale inhomogeneous structures.

Development of data-driven filtered drag model for industrial-scale fluidized beds

10.1016/j.petrol.2020.108003

## A two-fluid model and a temperature equation are used to describe the gas-slurry two-phase flow.

A new transient model for hydrate slurry flow in oil-dominated flowlines

10.1016/j.powtec.2020.10.041

## Compared with the traditional Eulerian-Eulerian two-fluid modeling (TFM) approach, dense discrete phase model (DDPM) is potentially promising for industrial-scale applications of fluidized bed reactors, due to its capability of tracking the trajectories of particle parcels and resolving the particle size distributions (PSD).

Verification and validation of the DDPM-EMMS model for numerical simulations of bubbling, turbulent and circulating fluidized beds

## Both shallow and deep slugging fluidized beds with and without an immersed tube were simulated using the two-fluid model.

Effects of an immersed tube in deep and shallow slugging fluidized beds

10.1007/S11082-020-02708-8

## The transmittance spectrum is theoretically investigated by the Transfer Matrix Method and the Gorter Casimir Two-fluid model.

Tunable properties of omnidirectional band gap based on photonic quasicrystals containing superconducting material

10.1016/J.POWTEC.2021.05.059

## In this study, a four-way coupled second-order method of Eulerian-Eulerian two-fluid model is proposed to numerically investigate the gas-particle flow, where exist particle-particle collisions, however, the particle turbulence is far from equilibrium to satisfy the Boussinesq approximation.

Four-way coupled second-order method of two-fluid model for gas-particle flow and the numerical simulation in horizontal channels

10.1016/j.ijmultiphaseflow.2020.103540

## The data obtained were analyzed in terms of momentum conservation according to the two-fluid model.

Measurement of the inner structure of turbidity currents by ultrasound velocity profiling

10.1016/j.ces.2020.116021

## In gas-solid fluidization highly resolved simulations (HRS) with microscopic two-fluid modeling (mTFM) are frequently employed for deriving sub-grid closures for filtered parameters that are required in filtered formulations useful in large scale simulations of real flows.

Improving the accuracy of two-fluid sub-grid modeling of dense gas-solid fluidized flows

10.1007/S11012-021-01314-6

## ], the $$\beta$$ - $$\sigma$$ two-fluid model is capable of accurately reproducing the main features of turbulent, fully-suspended slurry flows in horizontal pipes provided that suitable values of the two parameters $$\beta$$ and $$\sigma$$ are chosen.

Parametric study of the $${\beta }$$-$${\sigma }$$ two-fluid model for simulating fully suspended slurry flow: effect of flow conditions

## Contrastingly, continuum-based models such as the Two-Fluid Model (TFM) can be a computationally feasible and scalable alternative.

Continuum-Based Approach to Model Particulate Soil–Water Interaction: Model Validation and Insight into Internal Erosion