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# Modeling And Numerical Simulation Of Particulate Flows By The Eulerian–Lagrangian Approach

N. Patankar, D. Joseph

Published 2001 · Physics

Abstract In this paper we present an Eulerian–Lagrangian numerical simulation (LNS) scheme for particulate flows. The overall algorithm in the present approach is a variation of the scheme presented earlier. In this numerical scheme we solve the fluid phase continuity and momentum equations on an Eulerian grid. The particle motion is governed by Newton's law thus following the Lagrangian approach. Momentum exchange from the particle to fluid is modeled in the fluid phase momentum equation. Forces acting on the particles include drag from the fluid, body force and the interparticle force that prevents the particle volume fraction from exceeding the close-packing limit. There is freedom to use different models for these forces and to introduce other forces. In this paper we have used two types of interparticle forces. The effect of viscous stresses are included in the fluid phase equations. The volume fraction of the particles appear in the fluid phase continuity and momentum equations. The fluid and particle momentum equations are coupled in the solution procedure unlike an earlier approach. A finite volume method is used to solve these equations on an Eulerian grid. Particle positions are updated explicitly. This numerical scheme can handle a range of particle loadings and particle types. We solve the fluid phase continuity and momentum equations using a Chorin-type fractional-step method. The numerical scheme is verified by comparing results with test cases and experiments.

This paper references

10.1007/BF00717645

Direct simulation of fluid particle motions

H. Hu (1992)

10.2514/6.1982-998

A numerical study of the turbulent flow past an isolated airfoil with trailing edge separation

C. Rhie (1982)

Aggregate behavior of liquid fluidized beds

L G Gibilaro (1986)

10.1016/0095-8522(65)90016-4

Transport characteristics of suspension: VIII. A note on the viscosity of Newtonian suspensions of uniform spherical particles

D. Thomas (1965)

10.1016/0009-2509(95)00271-5

Discrete particle simulation of bubble and slug formation in a two-dimensional gas-fluidised bed: A hard-sphere approach.

B.P.B. Hoomans (1996)

10.2514/3.8284

Numerical study of the turbulent flow past an airfoil with trailing edge separation

C. M. Rhie (1983)

10.1090/S0025-5718-1968-0242392-2

Numerical solution of the Navier-Stokes equations

A. Chorin (1968)

10.1017/S0022112095004290

Instabilities and the formation of bubbles in fluidized beds

K. G. Anderson (1995)

Multiphase Flow and Fluidization: Continuum and Kinetic Theory Descriptions

D. Gidaspow (1994)

Direct numerical simulations of fluidsolid systems using the Arbitrary-Lagrangian-Eulerian technique, submitted to the

H H Hu (2000)

10.2307/3612749

An Introduction to Fluid Dynamics

G. Batchelor (1967)

10.1016/S0307-904X(98)10043-4

A numerical model for predicting bubble formation in a 3D fluidized bed

P. Witt (1998)

10.1006/JCPH.1994.1146

A non-staggered grid, fractional step method for time-dependent incompressible Navier-Stokes equations in curvilinear coordinates

Y. Zang (1994)

10.1002/(SICI)1097-0363(19960530)22:10<987::AID-FLD394>3.0.CO;2-7

a Comparative Study of Time-Stepping Techniques for the Incompressible Navier-Stokes Equations: from Fully Implicit Non-Linear Schemes to Semi-Implicit Projection Methods

S. Turek (1996)

10.1016/0301-9322(82)90064-7

The sedimentation of polydisperse suspensions in vessels having inclined walls

R. Davis (1982)

1994 Solitons, solitary waves and voidage disturbances in gas-fluidized beds

S E Harris

10.1017/S0022112096004351

Fully developed travelling wave solutions and bubble formation in fluidized beds

B. J. Glasser (1997)

Direct numerical simulation of fluid particle motions

H H Hu (1992)

Simulation of particulate flows in Newtonian and viscoelastic fluids, to appear in the

H H Hu (2000)

10.1080/10407799408955926

BLOCK-CORRECTION-BASED MULTIGRID METHOD FOR FLUID FLOW PROBLEMS

P. Sathyamurthy (1994)

10.1016/S0301-9322(01)00025-8

Lagrangian numerical simulation of particulate flows

N. Patankar (2001)

10.1002/AIC.690360404

A bubbling fluidization model using kinetic theory of granular flow

Jianmin Ding (1990)

10.1002/CJCE.5450640607

Aggregate behaviour of liquid fluidised beds

L. Gibilaro (1986)

10.1016/0045-7825(79)90034-3

A stable and accurate convective modelling procedure based on quadratic upstream interpolation

B. Leonard (1990)

Continuum theories for suspensions

J. Nunziato (1986)

10.1016/S0301-9322(99)00100-7

A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows

N. Patankar (2000)

Direct numerical simulations of fluid - solid systems using the Arbitrary - Lagrangian - Eulerian technique , submitted to the Journal of Computational Physics

H. H. Hu (2000)

10.1038/189997A0

Flow Patterns in Particle Beds

N. J. Hassett (1961)

10.1016/0045-7930(88)90024-2

Comparison of finite-volume numerical methods with staggered and colocated grids

M. Pericc (1988)

10.1006/JCPH.2000.6592

Direct numerical simulations of fluid-solid systems using the arbitrary Langrangian-Eulerian technique

H. Hu (2001)

10.1680/GEOT.1979.29.1.47

A discrete numerical model for granular assemblies

P. Cundall (1979)

10.1016/S0301-9322(98)00030-5

Sediment flow in inclined vessels calculated using a multiphase particle-in-cell model for dense particle flows

D. M. Snider (1998)

Aggregate behavior of liquid fluidized

L. G. Gibilaro (1986)

10.1016/0009-2509(90)87026-O

Generalization of the Foscolo—Gibilaro analysis of dynamic waves

D. Joseph (1990)

10.1016/0021-9991(80)90087-X

A particle-fluid numerical model for liquid sprays

J. Dukowicz (1980)

A stable and accurate convective modeling procedure based on

B P. (1979)

One and two-dimensional traveling wave solutions in gas-fluidized beds

B J Glasser (1996)

10.1016/0032-5910(93)85010-7

Discrete particle simulation of two-dimensional fluidized bed

Yutaka Tsuji (1993)

10.1016/0301-9322(95)00072-0

The multiphase particle-in-cell (MP-PIC) method for dense particulate flows

M. J. Andrews (1996)

10.1017/S002211208800206X

A new theory of the instability of a uniform fluidized bed

G. Batchelor (1988)

10.1016/0301-9322(75)90036-1

Drop trajectory predictions and their importance in the design of spray dryers

W. Gauvin (1975)

10.1017/S0022112079000720

Enhanced sedimentation in settling tanks with inclined walls

A. Acrivos (1979)

10.1016/0301-9322(95)00068-2

Direct simulation of flows of solid-liquid mixtures

H. Hu (1996)

Fluid-particle simulations reaching 100 particles

Andrew Johnson (1997)

10.1016/0009-2509(85)80116-0

Generalized friction factor and drag coefficient correlations for fluid-particle interactions

L. Gibilaro (1985)

10.1063/1.864408

Stability of the flow during sedimentation in inclined channels

E. Herbolzheimer (1983)

10.1002/AIC.690060410

Macroscopic mixing in fluidization

E. Cairns (1960)

10.1017/S0022112096001280

One- and two-dimensional travelling wave solutions in gas-fluidized beds

B. J. Glasser (1996)

10.1016/0301-9322(90)90035-H

ENSEMBLE AVERAGED AND MIXTURE THEORY EQUATIONS FOR INCOMPRESSIBLE FLUID-PARTICLE SUSPENSIONS

D. Joseph (1990)

Enhanced sedimentation in settling tanks

A. Acrivos (1979)

10.1016/S0301-9322(96)00080-8

Momentum and energy equations for disperse two-phase flows and their closure for dilute suspensions

D. Z. Zhang (1997)

10.1115/1.3448756

The Particle-Source-In Cell (PSI-CELL) Model for Gas-Droplet Flows

C. Crowe (1977)

Simulation of particulate flows in Newtonian and viscoelastic fluids , to appear in the International Journal of Multiphase Flow

H. H. Hu (2000)

10.1016/S0045-7825(96)01223-6

3D Simulation of fluid-particle interactions with the number of particles reaching 100

A. Johnson (1997)

10.1017/S0022112094000996

Solitons, solitary waves, and voidage disturbances in gas-fluidized beds

S. E. Harris (1994)

10.1016/0009-2509(84)80100-1

A fully predictive criterion for the transition between particulate and aggregate fluidization

P. Foscolo (1984)

10.1016/S0301-9322(98)00048-2

A distributed Lagrange multiplier/fictitious domain method for particulate flows

R. Glowinski (1999)

10.1016/0021-9991(85)90148-2

Application of a Fractional-Step Method to Incompressible Navier-Stokes Equations

J. Kim (1984)

This paper is referenced by

10.4028/www.scientific.net/AMR.807-809.653

Wall-Attachment Fan Drum Enclosed Dust Removal Theory and Technology of Mechanized Working Face

Wei Min Cheng (2013)

FEDSM 2012-72355 RELATIVE PERFORMANCE OF BODY-FITTED AND FICTITIOUS DOMAIN SIMULATIONS OF FLOW THROUGH POROUS MEDIA

Justin R. Finn (2012)

LARGE EDDY SIMULATION OF A SOLID-LIQUID FLUIDIZED BED USING THE LATTICE-BOLTZMANN METHOD AND A SOFT-SPHERE COLLISION MODEL

J.-S. KROLL-RABOTIN (2012)

10.7936/K7X63MBR

CFD Simulations of Chemical Looping Combustion in a Packed Bed and a Bubbling Bed Fuel Reactor

Guanglei Ma (2017)

10.1080/15502280500387971

Numerical Study of Air-Particle Two-Phase Flows Inside a Powder Coating Booth

ZhenAn Li (2006)

10.1016/J.JCLEPRO.2018.02.230

Diffuse pollution characteristics of respirable dust in fully-mechanized mining face under various velocities based on CFD investigation

Q. Zhang (2018)

10.4028/www.scientific.net/AMM.336-338.873

Numerical Simulation Research on Gas-Dust Flow Field of Forced-Exhausted Hybrid Ventilation in Whole Rock Mechanized Heading Face

G. Zhou (2013)

10.1556/606.2018.13.2.10

Effect of aeration on residence time in biological wastewater treatment

Tamás Karches (2018)

10.1007/978-981-13-3275-3_11

Transient Reacting Flow Simulations of Chemical-Looping Combustion Reactors

Guanglei Ma (2019)

Coarse-Grid Simulations Using Parcels: An Advanced Drag Model based on Filtered CFD-DEM Data

S. Radl (2013)

10.1016/J.APM.2006.03.007

Computational modelling of bubbles, droplets and particles in metals reduction and refining

M. Cross (2006)

Peristaltic flow with application to ureteral biomechanics

J. Lozano (2009)

10.1016/J.POWTEC.2018.08.075

Numerical study of diesel particulate matter distribution in an underground mine isolated zone

Guang Xu (2018)

10.1137/120861515

A Fluid-Kinetic Model for Particulate Flows with Coagulation and Breakup: Stationary Solutions, Stability, and Hydrodynamic Regimes

Thierry Goudon (2013)

10.1016/J.FUEL.2018.03.086

A three-dimensional hot flow model for simulating the alumina encapsulated NI-NIO methane-air CLC system based on the computational fluid dynamics-discrete element method

Caimao Luo (2018)

10.1016/J.JCP.2019.05.025

Application of CE/SE method to gas-particle two-phase detonations under an Eulerian-Lagrangian framework

Z. Zhang (2019)

10.1115/1.1794164

Numerical Prediction of Cavitating MHD Flow of Electrically Conducting Magnetic Fluid in a Converging-Diverging Nozzle

J. Ishimoto (2004)

10.1016/J.CES.2014.06.038

Three-dimensional modeling of fuel flow with a holistic circulating fluidized bed furnace model

M. Nikku (2014)

10.1002/CEAT.200600102

Numerical Simulation of the Separating Performance of Hydrocyclones

Z.-S. Ba (2006)

10.2514/6.2010-770

Study of Interaction of Dilute or Dense Cloud of Inert and/or Reactive Particles with Cellular Detonation Structures

Kalyana C. Gottiparthi (2010)

10.1007/S10494-011-9349-9

Characterization of the Mixing Layer Resulting from the Detonation of Heterogeneous Explosive Charges

Kaushik Balakrishnan (2011)

10.1021/ACS.IECR.7B03773

Numerical Investigation of the Ability of Salt Tracers to Represent the Residence Time Distribution of Fluidized Catalytic Cracking Particles

Liqiang Lu (2017)

A study of dispersion and combustion of particle clouds in post-detonation flows

Kalyana C. Gottiparthi (2015)

10.1016/J.APT.2019.05.019

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Yingping Wang (2019)

DEVELOPMENT OF A NUMERICAL APPROACH FOR SIMULATION OF SAND BLOWING AND CORE FORMATION

G. Yao (2006)

10.1517/17425247.2013.753053

The use of computational fluid dynamics in inhaler design

Conor A Ruzycki (2013)

10.1088/1757-899X/72/4/042048

Research on wear properties of centrifugal dredge pump based on liquid-solid two-phase fluid simulations

Guangjie Peng (2015)

10.1016/J.POWTEC.2017.07.094

Three-dimensional full-loop simulation of a high-density CFB with standpipe aeration experiments

Qiao Ma (2017)

10.5445/IR/1000096827

Stochastische Euler-Euler-PDF-Methodik für das Zwei-Fluid-Modell und Anwendung auf kavitierende Strömungen der Automobilindustrie

Martin Raquet (2019)

Modeling Dust Formation in Lime Kilns

Malahat Fardadi (2012)

10.1088/1873-7005/AA871F

Accurate signal reconstruction for higher order Lagrangian-Eulerian back-coupling in multiphase turbulence

D. Zwick (2017)

10.1007/S10404-006-0131-6

Bioparticle separation in non-Newtonian fluid using pulsed flow in micro-channels

Surendra Balaji Devarakonda (2007)

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