Modeling Approaches and Computational Methods for Particle-laden Turbulent Flows

588 Pages·2022·17.495 MB·English

by  Shankar Subramaniam, S. Balachandar

Modeling Approaches and
Computational Methods for
Particle-laden Turbulent Flows
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Computation and Analysis of Turbulent Flows
Modeling Approaches
and Computational
Methods for
Particle-laden Turbulent
Flows
Edited by
Shankar Subramaniam
Iowa State University
Department of Mechanical Engineering
Ames, IA, United States
S. Balachandar
University of Florida
Department of Mechanical and Aerospace
Engineering
Gainesville, FL, United States
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Contents
Contributors xi
Abouttheeditors xv
Preface xvii
References xvii
Acknowledgment xix
1 Introduction 1
ShankarSubramaniamandS.Balachandar
1.1 Physicaldescription 1
1.2 Scope 5
1.3 Deterministicdescriptions 7
1.4 Statisticaldescriptions 12
1.5 Importantnon-dimensionalquantities 20
1.6 Multiscalenatureofturbulentparticle-ladenflows 25
1.7 Outlineofthebook 31
Nomenclature 36
References 38
2 Particledispersionandpreferentialconcentrationinparticle-laden
turbulence 43
AndrewJ.BankoandJohnK.Eaton
2.1 Introduction 43
2.2 Particledispersion 44
2.3 Preferentialconcentrationofparticlesbyturbulence 51
2.4 Turbophoresis 72
References 75
3 Physicsoftwo-waycouplinginparticle-ladenhomogeneousisotropic
turbulence 81
AntoninoFerranteandSaidElghobashi
3.1 Introduction 81
3.2 Particle-ladenflowswithd <η 84
p
3.3 Particle-ladenflowswithd >η 93
p
Appendix3.A Governingequations 103
Appendix3.B Equationsofconservationoflinearandangularmomenta
forasolidparticlemovinginanincompressiblefluid 106
References 108
vi Contents
4 Coagulationinturbulentparticle-ladenflows 111
Lian-PingWang
4.1 Introduction 111
4.2 Geometriccollisionkernel 114
4.3 Collisionefficiency 128
4.4 Modelingtheevolutionofparticlesizedistribution 131
4.5 Aspecificapplication:turbulentcollisioncoalescenceofcloud
dropletsanditsimpactonwarmrainprecipitation 135
4.6 Summaryandoutlook 138
Acknowledgments 140
References 140
5 Efficientmethodsforparticle-resolveddirectnumericalsimulation 147
MarkusUhlmann,JosDerksen,AnthonyWachs,Lian-PingWang,and
ManuelMoriche
5.1 Introduction 147
5.2 TheimmersedboundarymethodinNavier–Stokes-basedsolvers 149
5.3 DistributedLagrangemultipliermethods 157
5.4 Boltzmannequation-basedmesoscopicmethods 160
5.5 Referencedatasets 174
5.6 ComparingPR-DNSmethods:adifficultexercise 176
5.7 Conclusionandoutlook 177
Acknowledgment 178
References 178
6 Resultsfromparticle-resolvedsimulations 185
AgatheChouippe,AmanG.Kidanemariam,JosDerksen,
AnthonyWachs,andMarkusUhlmann
6.1 Introduction 185
6.2 PR-DNSofdensefluidizedsystemsfordragforce
parameterizationsbasedondynamicsimulations 186
6.3 PR-DNSofunboundedflowsinthediluteregime 192
6.4 PR-DNSofwall-boundedshearflows 199
6.5 Conclusionsandoutlook 208
References 209
7 Modelingofshort-rangeinteractionsbetweenbothsphericaland
non-sphericalrigidparticles 217
AnthonyWachs,MarkusUhlmann,JosDerksen,andDamienP.Huet
7.1 Introduction 218
7.2 Motionofanon-sphericalrigidbody 220
7.3 Geometricdescriptionofanon-sphericalrigidbodyandthe
problemofcollisiondetectionofnon-sphericalrigidbodies 223
7.4 Non-collisionalshort-rangehydrodynamicinteractions:lubrication
indiluteregime 229
Contents vii
7.5 MethodsforLagrangiantrackingofnon-sphericalrigidbodieswith
collisions 231
7.6 Efficientandparallelimplementationofgranulardynamicssolvers
andtheirparallelcouplingtothefluidsolver 246
7.7 Testcases 250
7.8 Outlook 254
References 255
8 ImprovedforcemodelsforEuler–Lagrangecomputations 265
JeremyA.K.Horwitz
8.1 Introduction 265
8.2 Undisturbedquantities 268
8.3 StochasticeffectsinEuler–Lagrangesimulationforunresolved
fields 271
8.4 FluidequationsfordiluteflowsmodeledwiththeEuler–Lagrange
method 273
8.5 Particleequationofmotion 273
8.6 Eulerian–Lagrangiandatatransfer 282
8.7 Correctionschemesfortheundisturbedquantities 284
8.8 Summaryandfuturedirections 292
8.9 Discussionquestions 292
Acknowledgments 293
References 293
9 Deterministicextendedpoint-particlemodels 299
S.BalachandarandMartinR.Maxey
9.1 Motivationtogobeyondthepoint-particlemodel 299
9.2 Neighborinfluence 301
9.3 Undisturbedflowprediction 303
9.4 DeterministicparticleforcepredictionusingthePIEPmodel 307
9.5 Beyondpairwiseapproximationusingmachinelearning 312
9.6 Conceptandstatementoftheforcecouplingmethod 315
9.7 FCMresultsforindividualparticles 318
9.8 ExamplesofFCMapplications 324
9.9 Comments 325
References 327
10 Stochasticmodels 331
AaronM.LattanziandShankarSubramaniam
10.1 Motivationforstochasticmodels 332
10.2 Dispersionofinertialparticlesfromapointsource 334
10.3 Lagrangianparticledescription 341
10.4 Challengesinmodelingturbulentparticle-ladenflow 354
10.5 Modelsforinertialparticlesinturbulence 355
viii Contents
10.6 Numericalconsiderations 368
10.7 Summaryandextensions 372
Appendix10.A DetailsofnumericalintegrationofSDEs 373
Appendix10.B Fastandslowvariables 375
References 377
11 Volume-filteredEuler–Lagrangemethodforstronglycoupled
fluid–particleflows 383
JesseCapecelatroandOlivierDesjardins
11.1 Stronglycoupledfluid–particleflows 383
11.2 Microscaledescription 385
11.3 Volume-filtering 387
11.4 Closuremodeling 394
11.5 Numericalimplementation 397
11.6 Applicationtothestudyofstronglycoupledparticle-ladenflows 403
11.7 Extensions 408
11.8 Concludingremarks 413
References 414
12 Quadrature-basedmomentmethodsforparticle-ladenflows 419
AlbertoPassalacquaandRodneyO.Fox
12.1 Introduction 419
12.2 Thekineticequationanditsgeneralization 422
12.3 Generalitiesonmomentmethods 427
12.4 Quadrature-basedmomentclosures 431
12.5 AnisotropicGaussianclosureformonodisperseflows 437
12.6 AnisotropicGaussianclosureforpolydisperseflows 442
12.7 Closure 444
References 444
13 Eulerian–Eulerianmodelingapproachforturbulentparticle-laden
flows 449
BerendvanWachem
13.1 Introduction 449
13.2 DerivationoftheEulerian–Eulerianmodelforfluid–solidflows 452
13.3 Probabilitydensityfunction 457
13.4 Closurerelations 467
13.5 Outlookandconclusions 479
References 480
14 Multiscalemodelingofgas-fluidizedbeds 483
YaliTangandJ.A.M.(Hans)Kuipers
14.1 Introduction 483
14.2 Multiscalemodeling 492
Contents ix
14.3 Outlook 519
Acknowledgment 522
References 522
15 Futuredirections 537
ShankarSubramaniamandS.Balachandar
15.1 Futuredirections 537
15.2 Mappingthehigh-dimensionalparameterspace 538
15.3 Discoveryandquantificationofflowphysics 540
15.4 Theoreticalchallenges 541
15.5 Modelingneeds 542
15.6 Needforcollaborativeefforts 546
References 546
Index 549