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Title page 1

Contents 5

ABSTRACT 4

EXECUTIVE SUMMARY 9

ACKNOWLEDGMENTS 10

ABBREVIATIONS 11

1. BACKGROUND AND INTRODUCTION 12

2. ANALYSIS CASES 14

2.1. Case 1: Shock Tube Problem with Ideal Gas 14

2.1.1. Case 1 - Description 14

2.1.2. Case 1 - Model 14

2.1.3. Case 1 - Results 15

2.2. Case 2: Safety Valve Steam Discharge 23

2.2.1. Case 2 - Description 23

2.2.2. Case 2 - Model 24

2.2.3. Case 2 - Results 25

2.3. Case 3: Safety Valve Discharge with Saturated Liquid 32

2.3.1. Case 3 - Description 32

2.3.2. Case 3 - Model 32

2.3.3. Case 3 - Results 33

3. CONCLUSIONS 39

4. REFERENCES 41

Tables 8

Table 1. Case 1 Time Step for Courant Number C=1 and C=0.1 15

Figures 6

Figure 1. Case 1 Shock Tube with Gas 14

Figure 2. Case 1 (Shock Tube) TRACE Model 15

Figure 3. Case 1 (Shock Tube): Pressure Profile at 2, 4, 6 and 8 ms 16

Figure 4. Case 1 (Shock Tube): Pressure Profile at 8 ms 17

Figure 5. Case 1 (Shock Tube): Density Profile at 8 ms 17

Figure 6. Case 1 (Shock Tube): Temperature Profile at 8 ms 18

Figure 7. Case 1 (Shock Tube): Velocity Profile at 8 ms 18

Figure 8. Case 1 (Shock Tube): Pressure Profile From 8 to 10 m at 8 m 19

Figure 9. Case 1 (Shock Tube): Hypothetical Pipe Segment for Fluid Force Calculation 20

Figure 10. Case 1 Shock Tube Problem: Wave Force on Pipe Segment with a Time Step of 100 μs (Δt = 10-4 Seconds) 21

Figure 11. Case 1 Shock Tube Problem: Wave Force on Pipe Segment with a Time Step of 10 μs (Δt = 10-5 Seconds) 21

Figure 12. Case 1 Shock Tube Problem: Wave Force on Pipe Segment with a Time Step of 1 μs (Δt = 10-6 Seconds) 22

Figure 13. Schematic of the Effects of an SRV Steam Discharge 23

Figure 14. Case 2 (SRV Steam Discharge) TRACE Model 24

Figure 15. Case 2 (SRV Steam Discharge): Flowrate Ramp Through SRV for Run No. 2 25

Figure 16. Case 2 (SRV Steam Discharge) Run No. 1 (Instantaneous Opening): Pressure Profile at 30 ms 25

Figure 17. Case 2 (SRV Steam Discharge) Run No. 1 (Instantaneous Opening): Density Profile at 30 ms 26

Figure 18. Case 2 (SRV Steam Discharge) Run No. 1 (Instantaneous Opening): Temperature Profile at 30 ms 26

Figure 19. Case 2 (SRV Steam Discharge) Run No. 1 (Instantaneous Opening): Gas Velocity Profile at 30 ms 27

Figure 20. Case 2 (SRV Steam Discharge) Run No. 1 (Instantaneous Valve Opening): Pipe Loads (TRACE Versus Exact Solution) 28

Figure 21. Case 2 (SRV Steam Discharge) Run No. 1 (Instantaneous Valve Opening): Pipe Loads with Two Different Nodalizations 29

Figure 22. Case 2 (SRV Steam Discharge) Run No. 2 (Non-instantaneous Valve Opening): Shock Wave Development 30

Figure 23. Case 2 (SRV Steam Discharge) Run No. 2 (Non-instantaneous Opening): Pressure Profile at 30 ms 30

Figure 24. Case 2 (SRV Steam Discharge) Run No. 2 (Non-Instantaneous Opening): Density Profile at 30 ms 31

Figure 25. Case 2 (SRV Steam Discharge) Run No. 2 (Non-Instantaneous Opening): Temperature Profile at 30 ms 31

Figure 26. Case 2 (SRV Steam Discharge) Run No. 2 (Non-Instantaneous Opening): Gas Velocity Profile at 30 ms 32

Figure 27. Case 3 (SRV Saturated Water Discharge) Run No. 1 (with Default HTC): Temperature Profile at 30 ms 33

Figure 28. Case 3 (SRV Saturated Water Discharge) Run No. 1 (with Default HTC): Density Profile at 30 ms 34

Figure 29. Case 3 (SRV Saturated Water Discharge) Run No. 2 (with HTC=10⁷W/m²K): Pressure Profile at 30 ms 35

Figure 30. Case 3 (SRV Saturated Water Discharge) Run No. 2 (with HTC=10⁷W/m²K): Density Profile at Time 30 ms 35

Figure 31. Case 3 (SRV Saturated Water Discharge) Run No. 2 (with HTC=10⁷W/m²K): Temperature Profile at 30 ms 36

Figure 32. Case 3 (SRV Saturated Water Discharge) Run No. 2 (with HTC=10⁷W/m²K): Gas Velocity Profile at 30 ms 37

Figure 33. Case 3 (SRV Saturated Water Discharge) Run No. 2 (with HTC=10⁷W/m²K): Pipe Loads 38

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