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Validation of Multiphase Flow Modeling in ANSYS CFD Validation of Multiphase Flow Modeling in ANSYS CFD ANSYS CFD ANSYS CFD Th. Frank, C. Lifante, A.D. Burns Head Funded CFD Development ANSYS Germany Th F k@ Th. Frank, C. Lifante, A.D. Burns Head Funded CFD Development ANSYS Germany Th F k@ © 2009 ANSYS, Inc. All rights reserved. 1 ANSYS, Inc. Proprietary © 2009 ANSYS, Inc. All rights reserved. 1 ANSYS, Inc. Proprietary Thomas.Frank@ansys.com Thomas.Frank@ansys.com

Validation of Multiphase Flow Modeling in ANSYS CFD · CFX Model Validation ... St dl 05 1.0 1.5 normalize 2.0 Sato model t=0.002s 2400 Iterations 0.0 0.5 ... into CFXinto CFX-Post

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Page 1: Validation of Multiphase Flow Modeling in ANSYS CFD · CFX Model Validation ... St dl 05 1.0 1.5 normalize 2.0 Sato model t=0.002s 2400 Iterations 0.0 0.5 ... into CFXinto CFX-Post

Validation of Multiphase Flow Modeling in

ANSYS CFD

Validation of Multiphase Flow Modeling in

ANSYS CFDANSYS CFDANSYS CFD

Th. Frank, C. Lifante, A.D. BurnsHead Funded CFD DevelopmentANSYS GermanyTh F k@

Th. Frank, C. Lifante, A.D. BurnsHead Funded CFD DevelopmentANSYS GermanyTh F k@

© 2009 ANSYS, Inc. All rights reserved. 1 ANSYS, Inc. Proprietary© 2009 ANSYS, Inc. All rights reserved. 1 ANSYS, Inc. Proprietary

[email protected]@ansys.com

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Outline

• IntroductionMPF d l lid ti f• MPF model validation for adiabatic air-water flows

• Polydisperse MPF model• Polydisperse MPF model validation – MUSIG model

• Bartolomej testcase (PWR)• Bartolomej testcase (PWR)• Lee testcase (BWR)• Wall boiling with conjugate• Wall boiling with conjugate

heat transfer (CHT)• Summary & Outlook

© 2009 ANSYS, Inc. All rights reserved. 2 ANSYS, Inc. Proprietary

• Summary & OutlookCourtesy by E. Krepper (FZD)

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ANSYS as Part of the German CFD Network in Nuclear Reactor Safety

FZ Dresden- ANSYS FZ KarlsruheRossendorf Germany

GRS

Becker Technologies International Guest

AREVA Univ. Applied Sciences

gThAI test facility Visitors

AREVA

TU München:TD N l E

Univ. Applied SciencesZittau-Görlitz: IPM

Univ. Stuttgart: N l E

© 2009 ANSYS, Inc. All rights reserved. 3 ANSYS, Inc. Proprietary

TD, Nucl. Energy Nuclear Energy

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Methodology of CFD Model Development & Validation

ExperimentExperiment

phys.phys.--math.math.ModelModel

Complex Complex GeometryGeometry

3d CFD Model3d CFD Model Complex Flow Complex Flow ConditionsConditions

ValidationValidationCombination with Combination with other Modelsother Models

© 2009 ANSYS, Inc. All rights reserved. 4 ANSYS, Inc. Proprietary

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Eulerian MPF Modeling- The Particle ModelMass weighted averaged conservation equations• Mass, momentum, energy transport equations for each phase

1

N

k k k k k klll k

r rt

Ul k

kk k k k k k k k k k kr r r P r

t

U U U F I

secondary drag lift turbulentwall virtual mass

mom. transfer dispersionlubrication

L WL TD Mk D V FF F FI F F

• turbulence models for each phase (e.g. k- / k- SST model, 0-eq. disp. phase turb. Model)

• heat transfer equations for each phase with interfacial transfer closurei t f i l f d i i l l

© 2009 ANSYS, Inc. All rights reserved. 5 ANSYS, Inc. Proprietary

• interfacial forces need empirical closure• high void fraction effects, bubble induced turbulence, etc.

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Lift force, Wall lubrication force & turbulent dispersion

Lift force:• due to asymmetric wake and deformed asymmetric particle shapeTomiyama CL correlation

( )L G L LL G LrC F U U U (Re ,Re , )L L PC C EoWall lubrication force:• surface tension prevents bubbles from approaching solid wallsAntal, Tomiyama & Frank W.L.F. modelsAntal, Tomiyama & Frank W.L.F. models

T b l t di i f

2

WL G L rel rel W W WwallC r F U U n n n P(Eo, y/d )wall WC C

Turbulent dispersion force:• turbulent dispersion = action of turb. eddies via interphase drag

3 tFD P FC r rU U F FAD model by

© 2009 ANSYS, Inc. All rights reserved. 6 ANSYS, Inc. Proprietary

34

tFD P FTD F F P P

P rF P F

C r rU U rd r r

F FAD model by

Burns et al. (ICMF’04)

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Bubbly Flow Model Validation FZR MT-Loop and TOPFLOW Database

TOPFLOW

MT Loop

© 2009 ANSYS, Inc. All rights reserved. 7 ANSYS, Inc. Proprietary

MT-Loop

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CFX Model Validation MT-Loop & TOPFLOW Test Matrix

• M01 experimental test series on MT-Loop• evaluation based on air volume fraction profiles at

L/D=59 2 (z=3 03m) from the sparger systemL/D=59,2 (z=3.03m) from the sparger system• - numerically investigated test case conditions

finely disperse bubbly flow

y J_

L [m

/s]

bubbly flow with near wallvoid fraction maximum

bubbly flow in the transition

wat

er v

eloc

ity regime

bubbly flow with void fraction maximum at pipe center

b bbl flo ith oid

supe

rfici

al bubbly flow with void

fraction maximum at pipe center, bimodal

slug flow

© 2009 ANSYS, Inc. All rights reserved. 8 ANSYS, Inc. Proprietary

superficial air velocity J_G [m/s]

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Validation: Bubbly FlowsTurbulent Dispersion Forcep

3 00

k-eps + RPI TD (0.5)

3,00

e Fr

actio

n

k-eps + FAD TD

SST + RPI TD (0.5)

SST + FAD TDModel improvement

2,00

. Air

Volu

me

Data

1,00

Nor

m.

0,000 5 10 15 20 25

Radius, mm

© 2009 ANSYS, Inc. All rights reserved. 9 ANSYS, Inc. Proprietary

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Monodispersed Bubbly Flow MT-Loop Test Case FZR-019

3 5FZD 019

2.5

3.0

3.5

n [-

]Experiment FZR-019

Antal W.L.F., Grid 2

Tomiyama W.L.F., Grid 2

FZD-019:

JL=1.017 m/sJG=0.004 m/s

1.5

2.0

d vo

lum

e fr

actio

y ,

Frank W.L.F., Grid 2

JG 0.004 m/sdP=4.8 mm

Grace dragTomiyama lift

0.5

1.0

norm

aliz

eTomiyama liftT./A./F. Wall L. ForceFAD Turb. Disp.SST turb. modelS t d l

0.00.00 5.00 10.00 15.00 20.00 25.00

Radius [mm]

Sato modelt=0.002s2210 Iterations

© 2009 ANSYS, Inc. All rights reserved. 10 ANSYS, Inc. Proprietary

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Monodispersed Bubbly Flow MT-Loop Test Case FZR-052

FZD 052 5 5FZD-052:

JL=1.017 m/sJG=0.0151 m/s 4.0

4.5

5.0

5.5n

[-]

Experiment FZR-052

Antal W.L.F., Grid 2

Tomiyama W.L.F., Grid 2JG 0.0151 m/sdP=4.4 mm

Grace dragTomiyama lift

2.5

3.0

3.5

d vo

lum

e fr

actio

n Tomiyama W.L.F., Grid 2

Frank W.L.F., Grid 2

Tomiyama liftT./A./F. Wall L. ForceFAD Turb. Disp.SST turb. modelS t d l 0 5

1.0

1.5

2.0

norm

aliz

ed

Sato modelt=0.002s2400 Iterations

0.0

0.5

0.00 5.00 10.00 15.00 20.00 25.00Radius [mm]

© 2009 ANSYS, Inc. All rights reserved. 11 ANSYS, Inc. Proprietary

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TOPFLOW Test Facility @ FZDTOPFLOW Test Facility @ FZD

wire-mesh sensormovable diaphragm

movable diaphragm

gas injection

© 2009 ANSYS, Inc. All rights reserved. 12 ANSYS, Inc. Proprietary

gas injection

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TOPFLOW-074 Test Case Conditions from Test Matrix• Selection of test case conditions:

• TOPFLOW-074 test case was subject of validation in the past• TOPFLOW-074 test case was subject of validation in the past• Superficial velocities: JG=0.0368 m/s

JL=1.017 m/sWi h t t l ti

© 2009 ANSYS, Inc. All rights reserved. 13 ANSYS, Inc. Proprietary

• Wire-mesh sensor measurements at locations:z=10, 15, 20, 40, 80, 160, 250, 520mm

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3d Bubbly Flow Around ObstacleWater Velocity Comparisony

• ComparisonCFD Experiment

CFD Exp.CFD Experiment

• Absolute water velocity distribution in symmetry plane

• Import of exp. data into CFX Postinto CFX-Post

• Pre-interpolation of exp. data to pz=0.01m

© 2009 ANSYS, Inc. All rights reserved. 14 ANSYS, Inc. Proprietary

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3d Bubbly Flow Around ObstacleAir Void Fraction Comparison

• ComparisonCFD Experiment

CFD Exp.CFD Experiment

• Air void fraction distribution in symmetry plane

© 2009 ANSYS, Inc. All rights reserved. 15 ANSYS, Inc. Proprietary

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3d Bubbly Flow Around ObstacleAir Void Fraction Comparison

4) z=40mm 8) z=520mm

7)

8)

3) z=20mm 7) z=250mm

6)

5)

2)

3)

4)

2) z=15mm 6) z=160mm1)

2)

1) z=10mm 5) z=80mm

© 2009 ANSYS, Inc. All rights reserved. 16 ANSYS, Inc. Proprietary

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3d Bubbly Flow Around ObstacleCross-Sectional Air Void Fraction

5) z=80mm TOPFLOW ExperimentCFX Simulation

© 2009 ANSYS, Inc. All rights reserved. 17 ANSYS, Inc. Proprietary

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ANSYS CFX Experimental Data Quantitative Comparison

• Quantitative data comparison @ cross sectionsz=±10, ±15, ±20, ±40, ±80, ±160, ±250, ±520mm:z ±10, ±15, ±20, ±40, ±80, ±160, ±250, ±520mm:– absolute water velocity– air volume fraction

z=520mm

x=-35mm x=+35mm

obstacle

© 2009 ANSYS, Inc. All rights reserved. 18 ANSYS, Inc. Proprietary

y=0mm z=-520mm

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ANSYS CFX Experimental Data Quantitative Comparison

z=-80mmy=0mm

2.0

2.5

actio

n [-]

Experiment (z=-80mm)

CFX Simulation (z=-80mm)y=0mm

1.0

1.5A

ir Vo

lum

e Fr

a

0.0

0.5

-100 -75 -50 -25 0 25 50 75 100

[ ]

Nor

m. A

x [mm]

1.0

1.5

eloc

ity [m

/s]

0.5

olut

e W

ater

Ve

Experiment (z=-80mm)

CFX Simulation (z=-80mm)

© 2009 ANSYS, Inc. All rights reserved. 19 ANSYS, Inc. Proprietary

0.0-100 -75 -50 -25 0 25 50 75 100

x [mm]

Abs

o ( )

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ANSYS CFX Experimental Data Quantitative Comparison

z=-20mmy=0mm

2.0

2.5

actio

n [-]

Experiment (z=-20mm)

CFX Simulation (z=-20mm)y=0mm

1.0

1.5A

ir Vo

lum

e Fr

a

0.0

0.5

-100 -75 -50 -25 0 25 50 75 100

[ ]

Nor

m. A

x [mm]

1.5

2.0

eloc

ity [m

/s]

0.5

1.0

olut

e W

ater

Ve

Experiment (z=-20mm)

© 2009 ANSYS, Inc. All rights reserved. 20 ANSYS, Inc. Proprietary

0.0-100 -75 -50 -25 0 25 50 75 100

x [mm]

Abs

o

CFX Simulation (z=-20mm)

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ANSYS CFX Experimental Data Quantitative Comparison

z=20mmy=0mm

2.0

2.5

actio

n [-]

Experiment (z=20mm)

CFX Simulation (z=20mm)

y=0mm

1.0

1.5A

ir Vo

lum

e Fr

a

0.0

0.5

-100 -75 -50 -25 0 25 50 75 100

[ ]

Nor

m. A

x [mm]

1 5

2.0

2.5

eloc

ity [m

/s]

Experiment (z=20mm)

CFX Simulation (z=20mm)

0.5

1.0

1.5

olut

e W

ater

Ve

© 2009 ANSYS, Inc. All rights reserved. 21 ANSYS, Inc. Proprietary

0.0-100 -75 -50 -25 0 25 50 75 100

x [mm]

Abs

o

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ANSYS CFX Experimental Data Quantitative Comparison

z=80mmy=0mm 2.5

3.0

3.5

actio

n [-]

y=0mm

1.0

1.5

2.0

2.5

Air

Volu

me

Fra

0.0

0.5

0

-100 -75 -50 -25 0 25 50 75 100

[ ]

Nor

m. A Experiment (z=80mm)

CFX Simulation (z=80mm)

x [mm]

1 5

2.0

2.5

eloc

ity [m

/s]

Experiment (z=80mm)

CFX Simulation (z=80mm)

0.5

1.0

1.5

olut

e W

ater

Ve

© 2009 ANSYS, Inc. All rights reserved. 22 ANSYS, Inc. Proprietary

0.0-100 -75 -50 -25 0 25 50 75 100

x [mm]

Abs

o

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ANSYS CFX Experimental Data Quantitative Comparison

z=250mmy=0mm

2.0

2.5

actio

n [-]

y=0mm

1.0

1.5A

ir Vo

lum

e Fr

a

0.0

0.5

-100 -75 -50 -25 0 25 50 75 100

[ ]

Nor

m. A Experiment (z=250mm)

CFX Simulation (z=250mm)

x [mm]

1 5

2.0

2.5

eloc

ity [m

/s]

Experiment (z=250mm)

CFX Simulation (z=250mm)

0.5

1.0

1.5

olut

e W

ater

Ve

© 2009 ANSYS, Inc. All rights reserved. 23 ANSYS, Inc. Proprietary

0.0-100 -75 -50 -25 0 25 50 75 100

x [mm]

Abs

o

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Polydispersed Bubbly Flow Caused by Breakup & Coalescence

Transition from disperse bubbly flow to slug flow:

Balance between:• coalescence of bubbles• turbulent bubble breakup• turbulent bubble breakup

bubble size distribution;l di b bbl flpolydisperse bubbly flow

counter-current radial motion of small and large bubbles;

th l it fi ldmore than one velocity field

new population balance model (i h MUSIG)

© 2009 ANSYS, Inc. All rights reserved. 24 ANSYS, Inc. Proprietary

(inhomogeneous MUSIG)

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Inhomogeneous MUSIG Model

• momentum equations are solved for N gas phases (vel. groups)• size fraction equations for Mi bubble size classes in each vel. group

bubble coalescence and break up over all M MUSIG groups• bubble coalescence and break-up over all Mi MUSIG groups

N(dP)breakup/

coalescence/evaporation d

1

d3

d4

d5

d6

d7

d8

d2

breakup/conden-sation

v1 v2 v3

Velocity group mass transfer

© 2009 ANSYS, Inc. All rights reserved. 25 ANSYS, Inc. Proprietary

dPdP,krit Break up Coalescence

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Validation of 3x7 Inhomogeneous MUSIG Model on TOPFLOW-074

• good agreement at levels A, L through R• too fast spreading of the bubble plume from inlet due to too

intensive turbulent dispersionintensive turbulent dispersion

20 0

25.0Exp. FZR-074, level AExp. FZR-074, level CExp. FZR-074, level FE FZR 074 l l I

15.0

20.0

fract

ion

[-]

Exp. FZR-074, level IExp. FZR-074, level LExp. FZR-074, level OExp. FZR-074, level RCFX 074-A, Inlet level (z=0.0m)CFX 074-A, level C

10.0

Air

volu

me

,CFX 074-A, level FCFX 074-A, level ICFX 074-A, level LCFX 074-A, level OCFX 074-A, level R

0.0

5.0

0 0 25 0 50 0 75 0 100 0

A

© 2009 ANSYS, Inc. All rights reserved. 26 ANSYS, Inc. Proprietary

0.0 25.0 50.0 75.0 100.0

x [mm]

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MUSIG Model Extension

• Basic population balance equations New terms

dn(m, r, t) n(m, r, t) U(m, r, t)n(m, n(m, r, t) m(r, t)dt

r, t)m tt r

B D B D

• Size fraction equations

B B C CB D B D Bubble number density

Breakup/Coalescence terms

B B C C

ji d i i d i i B D B Dj i( r f ) ( r U f ) S S S S

t xS

i ii i 1

i i 1 i 1 i

m mm m m m

Si=

for evaporation

≈≈© 2009 ANSYS, Inc. All rights reserved. 27 ANSYS, Inc. Proprietary

i ii 1 i

i i 1 i 1 i

m mm m m m

Si

for condensation iii

i

ii ≈≈

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TOPFLOW Test Facility @ FZD8m

L~ 8

D=195mm

© 2009 ANSYS, Inc. All rights reserved. 28 ANSYS, Inc. Proprietary

Courtesy of FZD

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Condensation Test Case

• P=2 [MPa]• Jw=1.0 [m/s]• Js=0.54 [m/s]• Ts=214.4 [C]• Tw=210.5 [C] ∆Tw=3.9 [K]• Dinj = 1 [mm]• Detailed experimental data:

– Bubble size distribution– Radial steam volume fraction distribution

© 2009 ANSYS, Inc. All rights reserved. 29 ANSYS, Inc. Proprietary

Dirk Lucas, Horst-Michael Prasser: “Steam bubble condensation in sub-cooled water in case of co-current vertical pipe flow”,Nuclear Engineering and Design, Volume 237, Issue 5, March 2007, Pages 497-508

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Physical Model Setup

• Standard MUSIG & Extended MUSIG– 25 bubble size classes– 3 velocity groups: y g p

03 [mm],36 [mm], 630 [mm]– Arranged in accordance with critical Tomiyama

bubble diameter for bubble size dependent lift force

– Break up model: Luo & Svendsen (FB=0.025)– Coalescence model: Prince & Blanch (FC=0.05)

© 2009 ANSYS, Inc. All rights reserved. 30 ANSYS, Inc. Proprietary

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TOPFLOW Condensation Testcase

Inlet BC Inlet Position WLF TD Force Heat Transfer

Config 1 Dinj = 4mm Source point @ Wall - - -

Config 2 Dinj= 4 mm Source point @ 75 mm FWLF CTD=1.5 Nu=2+0.15Rep

0.8Pr0.5

C fi 3 D 1 Source point @ F CTD 1 N 2 0 1 R 0 8P 0 5Config 3 Dinj= 1 mm Source point @ 75 mm FWLF CTD=1.5 Nu=2+0.15Rep

0.8Pr0.5

© 2009 ANSYS, Inc. All rights reserved. 31 ANSYS, Inc. Proprietary

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Results: Vapor Volume Fraction

© 2009 ANSYS, Inc. All rights reserved. 32 ANSYS, Inc. ProprietaryConfig 2 Config 3Config 1

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Results: Vertical Averaged Steam Distribution

© 2009 ANSYS, Inc. All rights reserved. 33 ANSYS, Inc. Proprietary

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Results: Radial Steam Distribution

© 2009 ANSYS, Inc. All rights reserved. 34 ANSYS, Inc. Proprietary

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Results: Radial Steam Distribution

© 2009 ANSYS, Inc. All rights reserved. 35 ANSYS, Inc. Proprietary

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Results: Bubble Size Distribution

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Results: Bubble Size Distribution

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CFD Simulation for Fuel Assemblies in Nuclear Reactors

Material PropertiesMaterial Properties Wall Boiling Wall Boiling & & Bulk CondensationBulk Condensationpp Bulk CondensationBulk Condensation

Conjugate Heat Conjugate Heat Transfer (CHT)Transfer (CHT)TurbulenceTurbulence

Multiphase FlowMultiphase Flow FSI: Stresses &FSI: Stresses &Multiphase Flow Multiphase Flow ModelingModeling

FSI: Stresses & FSI: Stresses & DeformationsDeformations

© 2009 ANSYS, Inc. All rights reserved. 38 ANSYS, Inc. Proprietary

Validation againstValidation againstExperimentsExperiments

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CFD Simulation for Fuel Assemblies in Nuclear Reactors

Material PropertiesMaterial Properties Wall Boiling Wall Boiling & & Bulk CondensationBulk Condensationpp Bulk CondensationBulk Condensation

Conjugate Heat Conjugate Heat Transfer (CHT)Transfer (CHT)TurbulenceTurbulence

Multiphase FlowMultiphase Flow FSI: Stresses &FSI: Stresses &Multiphase Flow Multiphase Flow ModelingModeling

FSI: Stresses & FSI: Stresses & DeformationsDeformations

© 2009 ANSYS, Inc. All rights reserved. 39 ANSYS, Inc. Proprietary

Validation againstValidation againstExperimentsExperiments

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Multiphase Flow Regimes for Boiling Water Flowg

subcooled flow

bubbly flow slug flow

annular flow

spray flow

ONB OSB

Tsat

T wall temperature

mean fluid temperature

x

temperature

subcooled nucleate boiling

© 2009 ANSYS, Inc. All rights reserved. 40 ANSYS, Inc. Proprietary

boiling (saturated boiling)

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Flows with Subcooled Boiling (DNB) –RPI-Wall Boiling Model

qqqq Mechanistic wall heat partioning model:

EQFWall qqqq

convective heat flux1 ( )F F W Lq A h T T

evaporation heat fluxE G Lq m (h h )

quenching heat flux2 ( )Q Q W Lq A h T T

y

1A 2A2A

uQuenching heat

flux

Convective heat

flux

© 2009 ANSYS, Inc. All rights reserved. 41 ANSYS, Inc. Proprietary

t*m *m *m

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RPI-Wall Boiling Model –Submodels for Model Closure

Submodels for closure of RPI wall boiling model:– Nucleation site density: Lemmert & Chawla , User Defined– Bubble departure diameter:

Tolubinski & Kostanchuk, Unal, Fritz, User Defined– Bubble detachment frequency:q y

Terminal rise velocity over Departure Diameter, User Defined– Bubble waiting time:

Proportional to Detachment Period, User Definedp– Quenching heat transfer: Del Valle & Kenning, User Defined– Turbulent Wall Function for liquid convective heat transfer coefficient

• Correlation for bulk flow mean bubble diameter required:• Correlation for bulk flow mean bubble diameter required: e.g. Kurul & Podowski correlation via CCL

• Supported combination of wall boiling & CHT in the solid

© 2009 ANSYS, Inc. All rights reserved. 42 ANSYS, Inc. Proprietary

pp g– GGI & 1:1 solid-fluid interfaces

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RPI Wall Boiling Model in the ANSYS CFX-Pre 12.0 GUI

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The Bartolomej et al. The Bartolomej et al. The Bartolomej et al. Testcase (1967,1982)The Bartolomej et al. Testcase (1967,1982)

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The Bartolomej Test Case

R = 7.7 mm

Variable Value

P 4.5MPa

R 7.7 mm

2 m

57M

W/m

2

Gin 900 kg/(s m2)

0.57MW/m2 q

Z= 2

q=0.

5

Subcooling 58.2 K

q

© 2009 ANSYS, Inc. All rights reserved. 45 ANSYS, Inc. ProprietaryGin=900 kg/(s m2)

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Multiphase Flow Model

• Steam-Water 2-phase flow:W t ti h– Water: continuous phase

– Water Steam: disperse bubbles (particle model)

• Material properties (EOS):Material properties (EOS):– IAPWS-IF97 water - water steam property tables

• Modified law for interfacial area– Kurul & Podowski type bulk bubble diameter: dB=f(Tsub)– Accounting for higher volume fraction of the steam phase

Turbulence Model• Turbulence Model– SST turbulence model for continuous phase– 0-eq. disperse phase turb. model + Sato bubble induced turbulence

© 2009 ANSYS, Inc. All rights reserved. 46 ANSYS, Inc. Proprietary

q p p

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Inter-Phase Mass, Momentum and Energy Transfergy

• Mass transfer modelTh l Ph Ch M d l (b lk b ili / d ti d l)– Thermal Phase Change Model (bulk boiling/condensation model)

– RPI wall boiling model

• Momentum transfer modelsMomentum transfer models– Grace drag– FAD turbulent dispersion force

T i lift f– Tomiyama lift force– Wall lubrication force (none, Antal, Tomiyama)

• Heat transfer modelsHeat transfer models– Water: Thermal Energy– Water Steam: Saturation temperature

T i t d l

© 2009 ANSYS, Inc. All rights reserved. 47 ANSYS, Inc. Proprietary

– Two resistance model– Ranz Marshall correlation for bubble heat transfer

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Numerical Grids

• Validation on mesh hierarchy with regular refinement factor of 4 (2d meshes)

Grid Grid1 Grid2 Grid3

refinement factor of 4 (2d meshes)

Grid Grid1 Grid2 Grid3

# Nodes20 150 40 300 80 600

(uniform)20x150 40x300 80x600

Max y+ 264 133 69Max y 264 133 69

Δt [s] 10-2 10-3 5x10-4

© 2009 ANSYS, Inc. All rights reserved. 48 ANSYS, Inc. Proprietary

[ ]

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Grid1

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Grid 2

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Grid 3

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Comparison to Experimental Data

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Comparison to Experimental Data- Parameter & Model Variation

Influence of wall heat flux: Influence of wall lubrication force model:

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The Lee et al. Testcase The Lee et al. Testcase The Lee et al. Testcase (ICONE-16, 2008)

The Lee et al. Testcase (ICONE-16, 2008)

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Lee et al. (2008) Testcase

• Axially symmetric circular annulus

Radial dimensionsOutlet

RC

RR0

Measuring

r

• Radial dimensions– Inner radius of outer tube: R = 18.75 mm– Outer radius of inner tube: R0 = 9.5 mm– Core radius: RC = 3/4 R0

gPlane(for experimentaland numericalResults)

Core radius: RC 3/4 R0

– Annulus width: 9.25 mm

• Axial dimensionsT t l h ti ti h i ht L 1670

Adiabatic WallHeated Wall

– Total heating section height: LT = 1670 mm– Distance between inlet and measuring plane:

LM = 1610 mm

R di l P iti R

LM LT

• Radial Position: RP– Dimensionless, radial distance from inner tube

(RP = 0) to outer tube (RP = 1) across the annulus:

Annulus

Inner Tube(Heating Rod) z

© 2009 ANSYS, Inc. All rights reserved. 55 ANSYS, Inc. Proprietary

Inlet

0

0

RRRrRP

Outer Tube

Annulus

Axis

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Geometry and Mesh

Geometry & Mesh generation: Figure 4: Generated one layer mesh

Figure 1: 25° segment of the geometry

Annulus

CoreShell

Figure 2: 1° simulated segment of the geometry

Figure 3: 1° segment with one-layer mesh example

symmetrysymmetry

© 2009 ANSYS, Inc. All rights reserved. 56 ANSYS, Inc. Proprietary

symmetrysymmetry

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Mesh Hierarchy

Mesh Name Grid 01(coarse)

Grid 02(medium)

Grid 03(fine)

Domains ( 1 = HFO, 2 = CHT ) * 1 2 1 2 1 2

No of Nodes 1: 6342 1: 24682 1: 97362No. of Nodes 1: 63422: 12684

1: 246822: 49364

1: 973622: 194724

No of Elements 1: 20x150 1: 40x300 1: 80x600No. of Elements(hexahedra) 2: 40x150 2: 80x300 2: 160x600

y+max

Set16 ~84 ~41 ~24y max(at 1st node near wall)

Set25 ~88 ~45 ~25

Tstep Δt [s] Set16 0.001 0.002 0.0002

© 2009 ANSYS, Inc. All rights reserved. 57 ANSYS, Inc. Proprietary

Tstep Δt [s] Set16 0.001 0.002 0.0002

Set25 0.1 0.0125 0.0002

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Selection of Extreme/Limiting Testcase Conditions

• Concentrating on 2 (out of 12) datasets:

Set 25(least of all steam)

Set 16(most of all steam)

• Parameter comparisonSet No.* q’’ [kW m^-2] G [kg m^-2s] Tin [°C] Pin [kPa]

16 320.4 718.8 83.8 121.1

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25 220.0 1057.2 90.1 134.4

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Required Parameter Modifications in Comparison to PWR Conditions

Found that submodels need modifications for BWR conditionsconditions (see also Tu&Yeoh, Anglart et al., Krepper, Koncar):

1. Bulk bubble diameter (BBD)Kurul & Podowski dB,max~1.5mm @ wallmodified d law d ~4 0mm @ wallmodified dB law dB,max~4.0mm @ wall

2. Bubble departure diameter (BDD)Tolubinski & Kostanchuk dW ~0.5mm max.const. bubble dept. diam. dW =1mm - 3mm

3. A2 - Wall area fraction influenced by steam bubblesdefault 0 5

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default 0.5increased up to 2.0

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BBD & BDD Modifications Test Matrix Overview• Trying to systematically increase Bubble Departure

Diameter to investigate its influence on Heat Flux to V (Q ) filVapor (QV) profile

→ Test series with increasing BDD starting from dW.max ≈ 0.5 mm→ 1 mm; 2 mm; 3 mm; ;→ T&K * 4.0

BDD BDD User definedTolubinsky & Kostanchuk dW [mm]

K&P yes -

bbdmod01 - 1 = const.

bbdmod02 - 2 = const.

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bbdmod02 2 const.

bbdmod03 - 3 = const.

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BBD Modification / Set 25: Gas Volume Fraction @ z = 1610 [mm]

Set25 : Bulk Diameter Modification Comparison: Gas Volume Fraction (rG)

0.25

0.30

Gas Volume Fraction (rG)

0 10

0.15

0.20

r G[ ]

0.00

0.05

0.10

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

Radial Position (Rp) [ ]

G3 K&P G3 dbmod01 G3 dbmod02

© 2009 ANSYS, Inc. All rights reserved. 61 ANSYS, Inc. Proprietary

G3_K&P G3_dbmod01 G3_dbmod02

G3_dbmod03 Experimental Data

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BDD Modification / Set 25:Gas Volume Fraction @ z = 1610 [mm]

Set25 Bubble Departure Diameter Modification Comparison: Gas Volume Fraction (r )

0.30

0.35

Gas Volume Fraction (rG)

0.15

0.20

0.25

r G[ ]

0.00

0.05

0.10

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

Radial Position (Rp) [ ]

G3 K&P G3 dbmod02 bddmod01 G3 dbmod02 bddmod02

© 2009 ANSYS, Inc. All rights reserved. 62 ANSYS, Inc. Proprietary

G3_K&P G3_dbmod02_bddmod01 G3_dbmod02_bddmod02

G3_dbmod02_bddmod03 Experimental Data

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A2F Limiter Modification: Results Set 25,Gas Volume Fraction @ z=1610[mm]

Set25 A2F Mod Comparison: Gas Volume Fraction (rG)

0 350,400,45

0 150,200,250,300,35

r G [

]

0,000,050,100,15

0 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1

Radial Position (Rp) [ ]G3_K&P G3_dbmod02_bddmod01_A2F02

© 2009 ANSYS, Inc. All rights reserved. 63 ANSYS, Inc. Proprietary

G3_dbmod02_bddmod02_A2F02 G3_dbmod02_bddmod03_A2F02Experimental Data

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Grid Independency: Results Set 25, Gas Volume Fraction @ z = 1610 [mm]

Set25 New Grid Comparison: Gas Volume Fraction (rG)Gas Volume Fraction (rG)

0 300,350,40

0,150,200,250,30

r G [

]

0,000,050,10

0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1Radial Position (Rp) [ ]

G1_dbmod02_bddmod02_A2F02 G2_dbmod02_bddmod02_A2F02

© 2009 ANSYS, Inc. All rights reserved. 64 ANSYS, Inc. Proprietary

G3_dbmod02_bddmod02_A2F02 G4_dbmod02_bddmod02_A2F02Experimental Data

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The Lee et al. Testcase The Lee et al. Testcase The Lee et al. Testcase (ICONE-16, 2008)- Conjugate Heat

T f

The Lee et al. Testcase (ICONE-16, 2008)- Conjugate Heat

T f Transfer -Transfer -

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Heat Source in Solid Material & Conjugate Heat Transfer Prediction

HFO (Heat Flux Only): Fluid Domain (Annulus) → area specific heat flux boundary condition #

Fluid Domain

Outlet

Inlet

CHT (Conjugated Heat Transfer): Fluid Domain (Annulus) + Solid Domain (Non-Heated Rod Shell) + + Solid Domain (Heated Rod Core) → volume specific heat source #

Fluid Domain

Outlet

SolidD iSolid Domain #

© 2009 ANSYS, Inc. All rights reserved. 66 ANSYS, Inc. Proprietary

InletDomainSolid Domain #

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The RPI Wall Boiling Model:Lee et al. Testcase with CHT

• Specific energy source in solid material, Set25(equiv. to qWall):

ECore=8.23107 [W/m3]

• Temperature and Steam VF distribution indistribution in vertical plane

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The RPI Wall Boiling Model:Lee et al. Testcase with CHTSet25 & CHT: Water temperature monitors xW=1.5mm, z=83.5mm,

TL|OutletTL|z=835mm

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Iterations Iterations

TL|Intlet

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The RPI Wall Boiling Model:Lee et al. Testcase with CHT

Set25 & CHT: Grid independence for temperature distribution @ z=1610[mm]distribution @ z=1610[mm]

Heated Core Fluid Domain

Unheated “Cladding”

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The RPI Wall Boiling Model:Lee et al. Testcase with CHT

Set25 & CHT: Vapour VF distribution @ z=1610[mm]

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New R&D Consortium

ANSYS Germany

R&D Initiative:“Modeling Simulation & Germany

TUD, Dept. Fluid

Mechanics

Karlsruhe Inst. of

Technology (KIT)

Modeling, Simulation & Experiments for Boiling Processes in Fuel Assemblies of PWR”

FZ Dresden/ TUD, Dept.TUM, Dept.

Th

Assemblies of PWR

Dresden/Rossen-

dorf

TUD, Dept. Nucl. Eng.Thermo-

dynamics

TUD Medical Faculty

Univ. Appl.

Univ.Bochum,

Dept. Energy

Systems

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Univ. Appl. Sciences

Zittau/ Görlitz

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Modeling, Simulation & Experiments for Boiling Processes in Fuel Assemblies of PWR

• Ultrafast electron beam X-ray CT of fuel rod bundle in titanium pipe on TOPFLOW @ FZD:

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Images by courtesy of U. Hampel, FZD

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Modeling, Simulation & Experiments for Boiling Processes in Fuel Assemblies of PWR

Wall boiling simulation insimulation in a 3x3 rod bundle with

idspacer grid:

WallWall superheat TW-TSat

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Summary & Outlook

• Overview on ANSYS CFD multiphase flow model development and validation

• Continuous effort in model improvement, R&D• Emphasis in validation on BPG, comparison to

data, geometry & grid independent modeling• High interoperability of physical models

O tl k• Outlook:– Ongoing & customer driven CFD model development– Research cooperation with Industry & AcademiaResearch cooperation with Industry & Academia– More & more complex MPF phenomena– Coupling of wall boiling model to inhomogeneous MUSIG

© 2009 ANSYS, Inc. All rights reserved. 74 ANSYS, Inc. Proprietary

p g g g– Extension of the wall heat partitioning in wall boiling model

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Th k Y !Thank You!© 2009 ANSYS, Inc. All rights reserved. 75 ANSYS, Inc. Proprietary