CFD-Modeling of Turbulent Flows in a 3x3 Rod Bundle and Comparison to Experiments

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CFD-Modeling of Turbulent Flows in a 3x3 Rod Bundle and Comparison to Experiments C. Lifante 1, B. Krull 1, Th. Frank 1, R. Franz 2, U. Hampel 2 1 PBU, ANSYS Germany, Otterfing 2 Institute of Safety Research, HZDR, Germany 1 Conxita.Lifante@ansys.com

Content Objective of the investigation CFD Approach Case Description Experiments Geometry Setup Meshes Material properties Boundary conditions Convergence Qualitative Analysis: Flow Field Characteristics Velocity fields and streamlines Turbulence models Asymmetry Mirrored case Quantitative Analysis: Comparison to Experimental Data Velocity v 2

Objective of the Investigation Investigation of flow conditions in HZDR ROFEX test section for boiling flow tomography measurements 3

Texas A&M University PIV Experiments Laser Camera 4

Objective of the Investigation Answering the Questions: How the HZDR test facility can be used for CFD boiling model validation? Where CFD results can be reasonably well compared to measurements? starting with single phase 5

Objective of the Investigation Validation of single-phase flow conditions using p-cymene in a pyrexglass rod bundle Comparison to PIV measurements (Texas A&M University & HZDR) Isothermal, single-phase flow Expected to be transient because of previous refrigerant flow calculations Main pipe: Ø 54.0 mm Rods: Ø 10.2 mm Inlet: Ø 29.7 mm 6

CFD Approach Geometry Fluid Domain Meshes CFD Investigations Comparison to Experimental Data High Quality Mesh Generation Capturing Flow Phenomena Mesh Independency Convergence Investigation of Flow Field Characteristics Parameters steady state / transient isotropic / anisotropic turbulence model mass flow rate variation influence of fully developed turbulent inlet flow field convergence criteria time step efficiency Focus on Velocity Field as target value streamlines velocity profiles in measurement planes secondary flows 7

PIV Experiments in Transparent Test Section 2-dimensional velocity data from PIV measurements (HZDR, A&M Texas University) 6 % error in both directions 5 4 3 2 1 Camera Measurement Area Several inlet flow rates: Y=0 8

Geometry: Grid Spacers Thin metal sheet material & short length initially considered as negligible erroneous assumption One spacer in measurement area Experimental data spacer acts more like a flow straightener + Derived from HZDR drawing 6.024:07(3) GGI connection 9

Geometry Model Configurations Case I Case II Case III Case IV 10

Computational Mesh Hierarchy Case I Mesh01 Coarse Mesh02 Medium Elements (Hex) 1.0 10 6 8.0 10 6 Min. Determinant 0.5 Min. Grid Angle 36 Max. Aspect Ratio 98 Max. Vol. Change 25 11

Computational Mesh Hierarchy Case II Mesh01 Coarse Mesh02 Medium main 1.0 10 6 main 8.0 10 6 Elements (Hex) seg1 0.4 10 6 seg1 3.2 10 6 main 1.4 10 6 11.2 10 6 seg1 main seg1 Min. Determinant 0.5 0.6 Min. Grid Angle 34 35 Max. Aspect Ratio 120 94 Max. Vol. Change 30 10 12

Computational Mesh Hierarchy Case III Mesh02 (slice) Min. Determinant 0.7 Min. Grid Angle 38 Max. Aspect Ratio 1 Max. Vol. Change 5 13

Computational Mesh Hierarchy Case IV Mesh01 Coarse Mesh02 Medium main 0.6 10 6 main 4.8 10 6 Elements (Hex) seg1 0.4 10 6 seg1 3.2 10 6 1.0 10 6 8 10 6 main seg1 Min. Determinant 0.6 0.6 Min. Grid Angle 36 35 Max. Aspect Ratio 120 94 Max. Vol. Change 7 10 14

Computational Mesh 15 Mesh02

Computational Mesh - Mesh02 16 Mesh02

Computational Mesh Case II and IV 17 Mesh01

Boiling Model Demands Domain is subdivided in three parts for further investigations considering heat Constant cell thickness around rods 18

Boundary Conditions & Material Properties B Inlet: Normal Speed u 1, u 2, u 3 Turbulence Intensity 5% Domain: Reference Pressure 1 bar Isothermal 28 C Turbulence: SST, BSL RSM A Walls: Outlet: No Slip Wall, Smooth Wall for pipes, rods & dividers Average Static Pressure Relative Pressure 0 bar 19 Material: P-cymene Dynamic Viscosity 0.761 10-3 kg m -1 s -1 Density 850.79 kg m -3

Convergence Imbalances < 1% Residuals (MAX, Localization) Max. Res. Criterion 10-4 / 10-2 Stability of Monitored Quantities U, V, W, P (inst. / transient avg.) Isovolume, absolute value of U, V, W Mom. Residuals above 10-4 u 3 @Mesh01, SST, steady Residuals above 10-4 and also above 10-3 concentrated in outlet vessel 20

Qualitative Analysis: Flow Field Characteristics 21

Streamlines Inlet Vessel Splitter Plate 22 Streamline Color: Unique u 3 @Mesh01, SST, steady

Streamlines Inlet Vessel Bottom View 23 Streamline Color: Unique u 3 @Mesh01, SST, steady

Secondary Flows w/o Spacer Case I u 1 SST BSL RSM 24 Mesh01, transient

Secondary Flows with Spacer Case II u 1 Grid Spacer Effect SST BSL RSM 25 Mesh01, transient

Secondary Flows w/o Inlet Plenum Case IV Recirculation / Wake induced by spacer u 1 SST BSL RSM 26 Mesh01, transient

Secondary Flow SST Mesh Refinement Transient Average, SST, Mesh01 similar to Steady State Results, SST Transient Average, SST, Mesh02 similar to Steady State Results, BSL RSM 27 u 3

Mirrored Case Appearance Comparing Average Velocity Profiles Plane 2 and 4 Different Convergence Criteria, Velocity Range [1.0; 1.8] Plane 4 Plane 2 28 Mirrored case established? averaging started at 1.6s, u 3 @Mesh01

Mirrored Case Appearance Comparing Average Velocity Profiles Plane 2 and 4 switched in the 10-4 case Plane 4 (10-4 ) Plane 2 (10-2 ) Plane 2 (10-4 ) Plane 4 (10-2 ) 29 Mirrored case established averaging started at 1.6s, u 3 @Mesh01

Quantitative Analysis: Comparison to Experimental Data 30

Experimental Comparison Location of profile lines for data comparison Plane 4 Plane 2 Plane 4 Plane 2 Camera H3 Measurement Area H2b H2 H1b 31

Experimental Comparison Symbols u 1 u 2 u 3 Case I Case II Case III Case IV Legend instantaneous values considered average values considered transient SST results mirrored, velocity information changed below 32

Experimental Velocity v (defect) Grid Spacer (defect) BC1 BC2 33 Plane 2 Plane 4 Plane 2 Plane 4

Experimental Velocity v Plane 2 Plane 4 u 1 H3 H2b Plane 4 Plane 2 H2 34 H1b Ccvcbvcbvcb cvbvcb (defect)

Velocity Field Plane 2 SST BSL RSM Experiment Case I u 1 Spacer influence not negligible 35 Plane 2, Mesh01, transient

Velocity Field Plane 4 SST BSL RSM Experiment Case I u 1 36 Plane 4, Mesh01, transient

Velocity Field Plane 2 SST BSL RSM Experiment Case II u 1 37 Plane 2, Mesh01, transient

Grid Spacer Influence, SST Case I Case II u 1 No Grid Spacer, Plane 2 Grid Spacer, Plane 4 Experiment, Plane 4 38 Spacer influence not negligible Flow straightener would be required to get determined flow conditions SST

Grid Spacer Influence, BSLRSM Case I Case II u 1 No Grid Spacer, Plane 4 Grid Spacer, Plane 4 Experiment, Plane 4 39 Spacer influence not negligible Flow straightener would be required to get determined flow conditions BSL RSM

Grid Spacer Influence Plane 2 Plane 4 u 1 Case I Case II 40

Turbulence Model Comparison SST vs. BSL RSM Case II u 1 Plane 2 Plane 4 41

Turbulence Model Comparison for Fully Developed Flow SST vs. BSL RSM Plane 2 Plane 4 Case III u 1 Scaling of CFD results based on comparison of fully developed flows: 42

Velocity Field SST BSL RSM Experiment Case IV u 1 Fully developed rod bundle flow conditions are not a perfect match for the inlet cross section without the inlet plenum 43 Mesh01, transient, Plane 2 and 4

Grid Independency, SST Model Mesh01 vs. Mesh02, SST Plane 2 Plane 4 Case IV u 1 44

Turbulence Model: SST vs. BSLRSM Case IV u 1 Plane 2 Plane 4 45

Conclusions Flow in inlet plenum very unsteady, causes asymmetry and swirl, inflow conditions not well controlled in experiments Non negligible impact of the spacer grid swirl reduction like for a flow straightener despite the short length and thin sheet metal material Uncertainties in experiment and measurements: Flow inlet into inlet plenum with riffle hose of unclear position Mass flow rates not accurately specified or controlled Distance between camera position and measurement plane not accurately measured scaling effect on velocities 46 Geometry models IIV: from qualitative to quantitative agreement Finally the Case IV results are grid independent and show reasonably good comparison to experiments, at least for higher elevation For boiling flow experiments more effort for reliable inflow conditions to the test section is required Otherwise the use for CFD model validation would be questionable

Acknowledgements This research has been supported by the German Ministry of Education and Research (BMBF, Grant No. 02NUK010G) in the framework of the R&D funding concept of BMBF "Basic Research Energy 2020+", the German CFD Network on Nuclear Reactor Safety Research and the Alliance for Competence in Nuclear Technology, Germany. 47

Questions? 48