The Inhomogeneous MUSIG Model: Validation And
The Inhomogeneous MUSIG Model:Validation and Comparison with TOPFLOWexperimentsTh. Frank1, J. Shi2, M.-H. Prasser2, E. Krepper21ANSYS Germany, Otterfing2Inst. of Safety Research, FZR, DresdenThomas.Frank@ansys.com 2005 ANSYS, Inc.1ANSYS, Inc. Proprietary
Contents Introduction The testcase TOPFLOW-074 Validation tests and comparison withexperimental results Summary & Conclusions02. June, 20053rd Joint FZR & ANSYS Workshop on Multiphase Flows: Simulation, Experiment and Application, Rossendorf, GermanySlide 2 2005 ANSYS Germany
Modeling StrategiesMultiphaseMultiphaseFlowFlow mogeneousgeneousVOF)VOF(U(Ul Ul moInhomogeneousgeneousVOFVOF(U(Ul l sperse(length(lengthscalescaleddPP))02. June, se(Population(Populationbalance)balance)3rd Joint FZR & ANSYS Workshop on Multiphase Flows: Simulation, Experiment and Application, Rossendorf, GermanySlide 3 2005 ANSYS Germany
Polydispersed bubbly flow causedby breakup & coalescenceTransition from dispersebubbly flow to slug flow: coalescence of bubbles turbulent bubble breakupbubble size distribution;polydisperse bubbly flowcounter-current radial motionof small and large bubbles;more than one velocity fieldnew population balancemodel (inhomogeneousMUSIG)02. June, 20053rd Joint FZR & ANSYS Workshop on Multiphase Flows: Simulation, Experiment and Application, Rossendorf, GermanySlide 4 2005 ANSYS Germany
The inhomogeneous MUSIG model momentum equations are solved for N gas phases (vel. groups)size fraction equations for M bubble size classes in each vel. groupbubble coalescence and break-up over all NxM MUSIG groupsN(dP)size classes (M)breakupdP1dPa dPa 1dPbdPx 1dPMcoalescenceV1V2VNvelocity groups (N)dP,krit02. June, 2005dP3rd Joint FZR & ANSYS Workshop on Multiphase Flows: Simulation, Experiment and Application, Rossendorf, GermanySlide 5 2005 ANSYS Germany
The inhomogeneous MUSIG modelInhomogeneous MUSIG model solves for: Nvolume fraction equations N 1momentum equations ( ) 2turbulence model equations NxMsize fraction equations iρr ρru Sg(d dg )i ( d dg g , j ) t xN iMrd rdgg 102. June, 2005,f dg rdgrdg 1, , N i Mj 1, , NN iM, N iMf dg 1 ,g 13rd Joint FZR & ANSYS Workshop on Multiphase Flows: Simulation, Experiment and Application, Rossendorf, Germany Sg 0g 1Slide 6 2005 ANSYS Germany
The inhomogeneous MUSIG modelN iMS g ρ d Bgh rdhh g 1 breakup birthgg 1 ρ d rdg Bghh 1 breakup deathgggmh mi1 ρ d Chi rdh rdi X g hi2 h 1 i 1mh mi coalescence birthgN iMrdh ρ d rdg Cghmhh 1 coalescence death02. June, 2005g3rd Joint FZR & ANSYS Workshop on Multiphase Flows: Simulation, Experiment and Application, Rossendorf, GermanySlide 7 2005 ANSYS Germany
The TOPFLOW test facility at FZR FZR TOPFLOW testfacility with DN200 gas injection through72 x 1mm Øwall injection holes JW 1.017 m/sJG 0.0368 m/srG 3.49%(mean gas volumefraction)02. June, 20053rd Joint FZR & ANSYS Workshop on Multiphase Flows: Simulation, Experiment and Application, Rossendorf, GermanySlide 8 2005 ANSYS Germany
3x7 inhomogeneous MUSIGsimulations for TOPFLOW-074 3x7 MUSIG model applied to TOPFLOW-074 testcase with :N 3 velocity groups andM 21 size classes (7 in each group)– overall bubble diameter range dP 0, ,13mm– equal diameter discretization ( dP 0.619mm)– Air1 vel. group :– Air2 vel. group :– Air3 vel. group :02. June, 2005dP,min 0.31 mm ; dP,max 4.02mmdP,min 4.64 mm ; dP,max 8.36mmdP,min 8.98 mm ; dP,max 12.69mm3rd Joint FZR & ANSYS Workshop on Multiphase Flows: Simulation, Experiment and Application, Rossendorf, GermanySlide 9 2005 ANSYS Germany
3x7 inhomogeneous MUSIGsimulations for TOPFLOW-0745 different simulations with 3x7 MUSIG model:No.GridlevelNo. ofelementsCTD1232.0001.0reference case24 (mod.)260.4421.0grid refinement above thepoint of gas injection (z 0.0z 8.0m; expanding mesh)34 (mod.)260.4421.0inlet BC initialization with u, v,w, k, ω from fully developedsingle-phase flow44 (mod.)260.4421.0changed gas inlet bubble sizedistribution54 (mod.)260.4420.5reduced turbulent dispersion02. June, 2005comment3rd Joint FZR & ANSYS Workshop on Multiphase Flows: Simulation, Experiment and Application, Rossendorf, GermanySlide 10 2005 ANSYS Germany
Gas Inlet Bubble Size DistributionCases 1-3 and 5:Case 4: inlet nozzle injection inlet nozzle injection– Air1 VF 0.844% of VF– Air2 VF 88.72% of VF– Air3 VF 10.93% of VF– 80% of VF in class 7 (Air1)– 20% VF in Air1, Air2, Air3equally distributed overall remaining size classes3000Number Density [-]TOPFLOW-074, Level .5722.511.500.50Bubble diameter02. June, 20053rd Joint FZR & ANSYS Workshop on Multiphase Flows: Simulation, Experiment and Application, Rossendorf, GermanySlide 11 2005 ANSYS Germany
Case 4: 3x7 inhomogeneous MUSIGsimulations for TOPFLOW-074Inlet levellevel Flevel R TOPFLOW-074best resultsobtained inCase 4 near wall gasinjection atz 0.0m level R resultsshow corepeak in air VFprofiles02. June, 20053rd Joint FZR & ANSYS Workshop on Multiphase Flows: Simulation, Experiment and Application, Rossendorf, GermanySlide 12 2005 ANSYS Germany
Case 4: 3x7 inhomogeneous MUSIGsimulations for TOPFLOW-074 good agreement at levels L through R too fast spreading of the bubble plume from inletAir volume fraction [-]25.0Exp. FZR-074, level CExp. FZR-074, level FExp. FZR-074, level IExp. FZR-074, level LExp. FZR-074, level OExp. FZR-074, level RCFX, Inlet level (z 0.0m)CFX, level CCFX, level FCFX, level ICFX, level LCFX, level OCFX, level R20.015.010.05.00.00.025.050.075.0100.0x [mm]02. June, 20053rd Joint FZR & ANSYS Workshop on Multiphase Flows: Simulation, Experiment and Application, Rossendorf, GermanySlide 13 2005 ANSYS Germany
Case 4: 3x7 inhomogeneous MUSIGsimulations for TOPFLOW-074level C (z 0.335m) to level L (z 2.595m)14.0Exp. FZR-074, level CCFX, level C: Air VFCFX, level C: Air1 VFCFX, level C: Air2 VFCFX, level C: Air3 VFExp. FZR-074, level FCFX, level F: Air VFCFX, level F: Air1 VFCFX, level F: Air2 VFCFX, level F: Air3 VF12.0Air volume fraction [-]Air volume fraction 25.050.075.0100.00.025.0x [mm]75.0100.075.0100.0x [mm]8.06.0Exp. FZR-074, level ICFX, level I: Air VFCFX, level I: Air1 VFCFX, level I: Air2 VFCFX, level I: Air3 VF6.0Air volume fraction [-]Air volume fraction [-]50.04.02.00.0Exp. FZR-074, level LCFX, level L: Air VFCFX, level L: Air1 VFCFX, level L: Air2 VFCFX, level L: Air3 VF4.0turbulent dispersion2.00.00.025.050.0x [mm]02. June, 200575.0100.00.025.050.0x [mm]3rd Joint FZR & ANSYS Workshop on Multiphase Flows: Simulation, Experiment and Application, Rossendorf, GermanySlide 14 2005 ANSYS Germany
Case 4: 3x7 inhomogeneous MUSIGsimulations for TOPFLOW-074 Air VF at level L (z 2.595m),Air volume fraction [-]6.0Exp. FZR-074, level LCFX, level L: Air VFCFX, level L: Air1 VFCFX, level L: Air2 VFCFX, level L: Air3 VF4.02.00.00.025.050.075.0100.0x [mm]level O (z 4.531m) and level R(z 7.802m) agreement with experimentsimproves with increasing height good prediction of radialdemixing processes for differentbubble size classes5.0Exp. FZR-074, level OCFX, level O: Air VFCFX, level O: Air1 VFCFX, level O: Air2 VFCFX, level O: Air3 VF4.0Air volume fraction [-]Air volume fraction [-]5.03.02.01.0Exp. FZR-074, level RCFX, level R: Air VFCFX, level R: Air1 VFCFX, level R: Air2 VFCFX, level R: Air3 VF4.03.02.01.00.00.00.025.050.0x [mm]02. June, 200575.0100.00.025.050.075.0100.0x [mm]3rd Joint FZR & ANSYS Workshop on Multiphase Flows: Simulation, Experiment and Application, Rossendorf, GermanySlide 15 2005 ANSYS Germany
Overall Comparison of differentValidation Tests C and R level results for Cases 1- 5Exp. FZR-074, level CCFX, level C, grid 2, TD 1.0CFX, level C, grid 4, TD 1.0CFX, level C, grid 4, TD 1.0,CFX, level C, grid 4, TD 1.0,CFX, level C, grid 4, TD 0.5Exp. FZR-074, level RCFX, level R, grid 2, TD 1.0CFX, level R, grid 4, TD 1.0CFX, level R, grid 4, TD 1.0,CFX, level R, grid 4, TD 1.0,CFX, level R, grid 4, TD 0.5Air volume fraction [-]15.010.0init.init., BCinit.init., BC5.00.00.025.050.075.0100.0x [mm]02. June, 20053rd Joint FZR & ANSYS Workshop on Multiphase Flows: Simulation, Experiment and Application, Rossendorf, GermanySlide 16 2005 ANSYS Germany
Overall Comparison of differentValidation Tests C and R level results for Cases 1, 3 and 4Exp. FZR-074, level CCFX, level C, grid 2, TD 1.0CFX, level C, grid 4, TD 1.0,CFX, level C, grid 4, TD 1.0,Exp. FZR-074, level RCFX, level R, grid 2, TD 1.0CFX, level R, grid 4, TD 1.0,CFX, level R, grid 4, TD 1.0,Air volume fraction [-]15.010.0init.init., BCinit.init., BC5.00.00.025.050.075.0100.0x [mm]02. June, 20053rd Joint FZR & ANSYS Workshop on Multiphase Flows: Simulation, Experiment and Application, Rossendorf, GermanySlide 17 2005 ANSYS Germany
Case 4: Velocity ProfilesIR Level Comparison with Exp.1.5Air velocity [m/s]Air velocity [m/s]1.51.0Exp. FZR-074, level I0.5CFX, level I, Air11.0Exp. FZR-074, level L0.5CFX, level L, Air1CFX, level I, Air2CFX, level L, Air2CFX, level I, Air3CFX, level L, x [mm]x [mm]1.5Air velocity [m/s]Air velocity [m/s]1.51.0Exp. FZR-074, level O0.5CFX, level O, Air11.0Exp. FZR-074, level RCFX, level R, Air10.5CFX, level O, Air2CFX, level R, Air2CFX, level O, Air3CFX, level R, Air30.00.00.025.050.0x [mm]02. June, 200575.0100.00.025.050.075.0100.0x [mm]3rd Joint FZR & ANSYS Workshop on Multiphase Flows: Simulation, Experiment and Application, Rossendorf, GermanySlide 18 2005 ANSYS Germany
Case 4: Evolution of Bubble SizeDistribution – Level R4000MUSIG Air1 VF, level RMUSIG-Group 1 VFMUSIG-Group 2 VFMUSIG-Group 3 VF1.0TOPFLOW-074, Level ANumber Density [-]Air volume fraction [-]1.5MUSIG-Group 4 VFMUSIG-Group 5 VFMUSIG-Group 6 VFMUSIG-Group 7 VF0.53000TOPFLOW-074, Level 75.05.0750.04.2625.033.570.01.500.00.50Bubble diameterx [mm]1.5MUSIG Air3 VF, level R3.51.0MUSIG-Group 8 VFMUSIG-Group 9 VFMUSIG-Group 10 VFMUSIG-Group 11 VFMUSIG-Group 12 VFMUSIG-Group 13 VFMUSIG-Group 14 VFMUSIG-Group 16 VF3.0Air volume fraction [-]Air volume fraction [-]MUSIG-Group 15 VFMUSIG Air2 VF, level R0.5MUSIG-Group 17 VFMUSIG-Group 18 VF2.5MUSIG-Group 19 VFtoo strongcoalescence2.01.5MUSIG-Group 20 VFMUSIG-Group 21 VF1.00.50.00.00.025.050.0x [mm]02. June, 200575.0100.00.025.050.075.0100.0x [mm]3rd Joint FZR & ANSYS Workshop on Multiphase Flows: Simulation, Experiment and Application, Rossendorf, GermanySlide 19 2005 ANSYS Germany
Summary & Conclusions New population balance model in CFX-5:inhomogeneous NxM MUSIG model Validation on TOPFLOW-074:– radial demixing of differently sized bubbles– good agreement for air void fraction and velocityprofiles at higher pipe elevations– too fast spreading of near wall bubble plume– too strong coalescence (imbalance with breakup) Validation for broader range of flow conditionsnecessaryTOPFLOW test matrix Revision of breakup & coalescence models Future extension of inhomogeneous MUSIG modelto condensation & boiling02. June, 20053rd Joint FZR & ANSYS Workshop on Multiphase Flows: Simulation, Experiment and Application, Rossendorf, GermanySlide 20 2005 ANSYS Germany
Air volume fraction [-] Exp. FZR-074, level L CFX, level L: Air VF CFX, level L: Air1 VF CFX, level L: Air2 VF CFX, level L: Air3 VF Case 4: 3x7 inhomogeneous MUSIG simulations for TOPFLOW-074 turbulent dispersion level C (z 0.335m) to level L (z 2.595m) 0.0 5.0 10.0 15.0 0.0 25.0 50.0 75.0 100.0 x [mm] Air volume fra
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