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1 Heat Release in the Reactor Core |
|
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1 | (14) |
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1.1 Thermal Power and Thermal Power Density |
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1 | (3) |
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1.2 Thermal Power Density and Fuel Material |
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|
4 | (1) |
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1.3 Thermal Power Density and Moderator Temperature |
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5 | (1) |
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1.4 Spatial Distribution of the Thermal Power Density |
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6 | (2) |
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1.5 Equalizing of the Spatial Distribution of the Thermal Power Density |
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8 | (5) |
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13 | (2) |
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14 | (1) |
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2 Temperature Inside the Fuel Elements |
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15 | (32) |
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2.1 Steady-State Temperature Field |
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17 | (12) |
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2.2 Transient Temperature Field |
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29 | (7) |
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2.3 Influence of the Cladding Oxidation, Hydrogen Diffusion, and Corrosion Product Deposition |
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36 | (6) |
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36 | (5) |
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41 | (1) |
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|
41 | (1) |
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42 | (5) |
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44 | (3) |
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3 The "Simple" Steady Boiling Flow in a Pipe |
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47 | (42) |
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49 | (1) |
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3.2 Mixture Momentum Equation |
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50 | (3) |
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53 | (2) |
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3.4 The Idea of Mechanical and Thermodynamic Equilibrium |
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55 | (1) |
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3.5 Relaxing the Assumption of Mechanical Equilibrium |
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56 | (1) |
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3.6 Relaxing the Assumption of Thermodynamic Equilibrium |
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57 | (2) |
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3.7 The Relaxation Method |
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59 | (4) |
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3.8 The Boundary Layer Treatment |
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63 | (2) |
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3.9 The Boundary Layer Treatment with Considered Variable Effective Bubble Size |
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65 | (4) |
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3.10 Saturated Flow Boiling Heat Transfer |
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69 | (4) |
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3.11 Combining the Asymptotic Method with Boundary Layer Treatment Allowed for Variable Effective Bubble Size |
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73 | (1) |
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3.12 Separated Momentum Equations and Bubble Dynamics |
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73 | (7) |
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80 | (9) |
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84 | (2) |
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Appendix A Sani's (1960) Data for Boiling Flow in a Pipe |
|
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86 | (3) |
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4 The "Simple" Steady Three-Fluid Boiling Flow in a Pipe |
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89 | (32) |
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4.1 Flow Regime Transition from Slug to Churn Turbulent Flow |
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90 | (1) |
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4.2 Instantaneous Liquid Redistribution in Film and Droplets |
|
|
91 | (2) |
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4.3 Relaxing the Assumption for Instantaneous Liquid Redistribution in Film and Droplets, Entrainment, and Deposition |
|
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93 | (3) |
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4.4 Drift Flux Correlations |
|
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96 | (2) |
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4.5 Separated Momentum Equation |
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98 | (3) |
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4.6 Dynamic Evolution of the Mean Droplet Size |
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101 | (4) |
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4.6.1 Droplet Size Stability Limit |
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101 | (1) |
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4.6.2 Droplet Production Rate Due to Fragmentation |
|
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102 | (1) |
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4.6.3 Duration of the Fragmentation |
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|
103 | (1) |
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4.6.4 Collision and Coalescence |
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104 | (1) |
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105 | (2) |
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|
107 | (3) |
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4.9 Comparison with Experiments |
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110 | (4) |
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114 | (7) |
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|
117 | (4) |
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5 Core Thermal Hydraulics |
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121 | (82) |
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5.1 Reactor Pressure Vessels |
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|
121 | (13) |
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5.2 Steady-State Flow in Heated Rod Bundles |
|
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134 | (26) |
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5.2.1 The NUPEC Experiment |
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134 | (18) |
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5.2.2 The SIEMENS Void Data for the ATRIUM 10 Fuel Bundle |
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152 | (1) |
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5.2.3 The FRIGG Experiments |
|
|
153 | (5) |
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5.2.4 The THTF Experiments: High Pressure and Low Mass Flow |
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158 | (2) |
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5.3 Pressure Drop for Boiling Flow in Bundles |
|
|
160 | (2) |
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162 | (5) |
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5.4.1 The NUPEC Transients in a Channel Simulating One Subchannel of a PWR Fuel Assembly |
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|
162 | (3) |
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5.4.2 The NUPEC Transients in PWR 5 × 5 Fuel Assembly |
|
|
165 | (2) |
|
5.5 Steady-State Critical Heat Flux |
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167 | (15) |
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5.5.1 Initial Zero-Dimensional Guess |
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|
169 | (4) |
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5.5.2 Three-Dimensional CHF Analysis |
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173 | (3) |
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176 | (6) |
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5.6 Outlook -- Toward Large-Scale Turbulence Modeling in Bundles |
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182 | (3) |
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5.7 Outlook -- Toward Fine-Resolution Analysis |
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185 | (1) |
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|
186 | (6) |
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192 | (11) |
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|
194 | (6) |
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Appendix A Some Relevant Constitutive Relationships Addressed in this Analysis |
|
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200 | (3) |
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6 Flow Boiling and Condensation Stability Analysis |
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203 | (18) |
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|
203 | (2) |
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6.2 AREVA Boiling Stability Data for the ATRIUM 10B Fuel Bundle |
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|
205 | (5) |
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6.3 Flow Condensation Stability |
|
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210 | (11) |
|
|
217 | (4) |
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7 Critical Multiphase Flow |
|
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221 | (90) |
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7.1 Definition of the Criticality Condition |
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221 | (3) |
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224 | (2) |
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226 | (1) |
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7.4 Single Phase Flow in Pipe |
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226 | (12) |
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7.4.1 No Friction Energy Dissipation, Constant Cross Section |
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|
226 | (10) |
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7.4.2 General Case, Perfect Gas |
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|
236 | (2) |
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7.5 Simple Two Phase Cases for Pipes and Nozzles |
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|
238 | (48) |
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7.5.1 Subcooled Critical Mass Flow Rate in Short Pipes, Orifices and Nozzles |
|
|
241 | (1) |
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7.5.2 Frozen Homogeneous Non-developed Flow |
|
|
242 | (3) |
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7.5.3 Non-homogeneous Developed Flow without Mass Exchange |
|
|
245 | (1) |
|
7.5.4 Equilibrium Homogeneous Flow |
|
|
246 | (19) |
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7.5.5 Equilibrium Non-homogeneous Flow |
|
|
265 | (13) |
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7.5.6 Inhomogeneous Developing Flow in Short Pipes and Nuzzles with Infinitely Fast Heat Exchange and with Limited Interfacial Mass Transfer |
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278 | (8) |
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7.6 Recent State of the Knowledge for Describing Critical Flow |
|
|
286 | (10) |
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7.6.1 Bubbles Origination |
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286 | (7) |
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7.6.2 Bubble Fragmentation |
|
|
293 | (2) |
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7.6.3 Bubble Coalescences |
|
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295 | (1) |
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7.6.4 Droplets Origination |
|
|
295 | (1) |
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7.7 Examples for Application of the Theory of the Critical Flow |
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296 | (6) |
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7.7.1 Blow Down from Initially Closed Pipe |
|
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296 | (4) |
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7.7.2 Blow Down from Initially Closed Vessel |
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300 | (2) |
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|
302 | (9) |
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|
306 | (5) |
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311 | (52) |
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|
311 | (1) |
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8.2 Some Popular Designs of Steam Generators |
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312 | (9) |
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|
312 | (8) |
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|
320 | (1) |
|
|
321 | (1) |
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8.3 Frequent Problems, Sound Design Practices |
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321 | (7) |
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|
328 | (6) |
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8.4.1 Some Preliminary Remarks on the Physical Problem to Be Solved |
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328 | (2) |
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8.4.2 Some Simple Conservation Principles |
|
|
330 | (2) |
|
8.4.3 Three-Dimensional Analysis |
|
|
332 | (2) |
|
|
334 | (14) |
|
8.5.1 Benchmark for Heat Exchanger Design with Complex Computer Codes |
|
|
334 | (6) |
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8.5.2 Benchmark for Once through Steam Generator Design with Complex Computer Codes |
|
|
340 | (1) |
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8.5.3 Three-Dimensional Benchmarks -- Comparison with Predictions of Older Computer Codes |
|
|
341 | (7) |
|
8.6 Primary Circuits of PWRs Up to 1976 |
|
|
348 | (1) |
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8.7 Primary Circuits of Modern PWRs |
|
|
348 | (15) |
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Appendix A Some Useful Geometrical Relations in Preparing Geometrical Data for U-Tube Steam Generator Analysis |
|
|
351 | (6) |
|
|
357 | (6) |
|
|
363 | (88) |
|
|
363 | (6) |
|
9.2 Moisture Characteristics |
|
|
369 | (4) |
|
9.3 Simple Engineering Methods for Computation of the Efficiency of the Separation |
|
|
373 | (25) |
|
|
373 | (16) |
|
|
389 | (9) |
|
9.4 Velocity Field Modeling in Separators |
|
|
398 | (8) |
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9.4.1 Kreith and Sonju Solution for the Decay of Turbulent Swirl in Pipes |
|
|
398 | (2) |
|
9.4.2 Potential Gas Flow in Vanes |
|
|
400 | (1) |
|
9.4.3 Trajectory of Particles in a Known Continuum Field |
|
|
400 | (3) |
|
9.4.4 Computational Fluid Dynamics Analyses of Cyclones |
|
|
403 | (1) |
|
9.4.5 Computational Fluid Dynamics Analyses of Vane Separators |
|
|
404 | (2) |
|
|
406 | (31) |
|
9.5.1 BWR Cyclones, PWR Steam Generator Cyclones |
|
|
406 | (12) |
|
9.5.2 Other Cyclone Types |
|
|
418 | (4) |
|
|
422 | (15) |
|
9.6 Moisture Separation in NPP with PWRs Analyzed by Three-Fluid Models |
|
|
437 | (6) |
|
9.6.1 Separation Efficiency of the Specific Cyclone Design |
|
|
439 | (1) |
|
9.6.2 Efficiency of the Specific Vane Separator Design |
|
|
440 | (1) |
|
9.6.3 Uniformity of the Flow Passing the Vane Separators |
|
|
441 | (1) |
|
9.6.4 Efficiency of the Condensate Removal Locally and Integrally |
|
|
442 | (1) |
|
|
443 | (8) |
|
|
447 | (4) |
|
|
451 | (54) |
|
10.1 Some Basic Definitions |
|
|
453 | (9) |
|
|
453 | (2) |
|
|
455 | (1) |
|
10.1.3 Diameters of Pipe Sections |
|
|
456 | (1) |
|
|
457 | (1) |
|
|
457 | (1) |
|
10.1.6 Creating a Library of Pipes |
|
|
458 | (1) |
|
|
458 | (1) |
|
10.1.8 Discretization of Pipes |
|
|
459 | (1) |
|
|
460 | (2) |
|
10.2 The 1983-Interatome Experiments |
|
|
462 | (14) |
|
|
463 | (1) |
|
|
464 | (3) |
|
|
467 | (1) |
|
|
468 | (2) |
|
|
470 | (2) |
|
|
472 | (2) |
|
|
474 | (2) |
|
10.3 Analysis of Several Pressure Transients in the Conventional Island of Pressurized Water Reactors |
|
|
476 | (29) |
|
|
503 | (2) |
|
11 Some Auxiliary Systems |
|
|
505 | (18) |
|
11.1 High Pressure Reduction Station |
|
|
505 | (3) |
|
11.2 Gas Release in Research Reactors Piping |
|
|
508 | (15) |
|
11.2.1 Solubility of O2, N2 and H2 under 1 Bar Pressure |
|
|
509 | (1) |
|
11.2.2 Some General Remarks on the Gas Release- and Absorption Dynamics |
|
|
510 | (1) |
|
11.2.3 Gas Release in the Siphon Safety Pipe |
|
|
511 | (1) |
|
11.2.4 Radiolysis Gases: Generation, Absorption and Release |
|
|
512 | (3) |
|
11.2.5 Mixing in the Water Pool |
|
|
515 | (1) |
|
11.2.6 Computational Analyses |
|
|
515 | (1) |
|
11.2.6.1 Case 1 and 2: 0% and 1% Gas Volume Fraction at the Entrance of the CCS |
|
|
516 | (1) |
|
11.2.6.2 Case 3: 2.6% Gas Volume Fraction at the Entrance of the CCS |
|
|
517 | (4) |
|
|
521 | (2) |
|
12 Emergency Condensers, Reheaters, Moisture Separators and Reheaters |
|
|
523 | (48) |
|
|
523 | (1) |
|
12.2 Simple Mathematical Illustration of the Operation of the System |
|
|
524 | (3) |
|
12.3 Performance of the Condenser as a Function of the Water Level and Pressure |
|
|
527 | (1) |
|
|
527 | (1) |
|
12.5 Air-Cooled Condenser, Steam Reheater |
|
|
528 | (18) |
|
12.5.1 Heat Exchanger Power |
|
|
528 | (4) |
|
12.5.2 Intensifying Heat Transfer by Fins |
|
|
532 | (2) |
|
12.5.3 Heat Transfer at Finned Tubes |
|
|
534 | (7) |
|
12.5.4 Heat Conduction through Finned Pipe |
|
|
541 | (1) |
|
12.5.5 Condensation Inside a Pipe |
|
|
542 | (1) |
|
12.5.6 Flow Induced Pipe Vibrations |
|
|
543 | (3) |
|
12.6 Engineering Process Analysis of Moisture Separators and Reheaters |
|
|
546 | (19) |
|
|
547 | (1) |
|
Mechanical Moisture Reduction |
|
|
547 | (6) |
|
Uniform Flow across the Bundles |
|
|
553 | (1) |
|
|
554 | (1) |
|
|
555 | (1) |
|
|
555 | (3) |
|
Vertical versus Horizontal |
|
|
558 | (3) |
|
|
561 | (2) |
|
|
563 | (2) |
|
|
565 | (6) |
|
|
568 | (3) |
|
|
571 | (4) |
|
13.1 Processes during the Core Degradation Depending on the Structure Temperature |
|
|
571 | (1) |
|
13.2 Analytical Tools for Estimation of the Core Degradation |
|
|
572 | (3) |
|
|
573 | (2) |
|
14 Melt-Coolant Interaction |
|
|
575 | (18) |
|
14.1 Melt-Coolant Interaction Analysis for the Boiling Water Reactor KARENA |
|
|
576 | (9) |
|
14.1.1 Interaction Inside the Guide Tubes |
|
|
582 | (2) |
|
14.1.2 Melt-Relocation through the Lower Core Grid |
|
|
584 | (1) |
|
14.1.3 Side Melt-Relocation through the Core Barrel |
|
|
585 | (1) |
|
14.1.4 Late Water Injection |
|
|
585 | (1) |
|
14.2 Pressure Increase due to the Vapor Generation at the Surface of the Melt Pool |
|
|
585 | (1) |
|
14.3 Conditions for Water Penetration into Melt |
|
|
586 | (1) |
|
14.4 Vessel Integrity during the Core Relocation Phase |
|
|
587 | (6) |
|
|
589 | (4) |
|
15 Coolability of Layers of Molten Reactor Material |
|
|
593 | (44) |
|
|
595 | (1) |
|
|
595 | (1) |
|
15.3 System of Differential Equations Describing the Process |
|
|
596 | (12) |
|
15.3.1 Simplifying Assumptions |
|
|
596 | (1) |
|
|
597 | (2) |
|
15.3.3 Gas Release and Gas Volume Faction |
|
|
599 | (1) |
|
|
600 | (2) |
|
|
602 | (2) |
|
15.3.6 Melt Energy Conservation |
|
|
604 | (2) |
|
15.3.7 Buoyancy Driven Convection |
|
|
606 | (1) |
|
|
607 | (1) |
|
15.4 Heat Conducting Structures |
|
|
608 | (5) |
|
15.4.1 Heat Conduction through the Structures |
|
|
608 | (1) |
|
15.4.2 Boundary Conditions |
|
|
609 | (1) |
|
15.4.3 Oxide Crust Formation on Colder Heat Conducting Structures |
|
|
610 | (3) |
|
|
613 | (1) |
|
|
614 | (5) |
|
|
614 | (3) |
|
15.6.2 Oxide besides Metal |
|
|
617 | (1) |
|
15.6.3 Practical Use of the Method |
|
|
618 | (1) |
|
15.7 Gravitational Flooding of Hot Solid Horizontal Surface by Water |
|
|
619 | (12) |
|
15.7.1 Simplifying Assumptions |
|
|
620 | (2) |
|
15.7.2 Conservation of Mass and Momentum, Scaling |
|
|
622 | (3) |
|
15.7.3 Eigen Values, Eigen Vectors and Canonical Forms |
|
|
625 | (4) |
|
|
629 | (2) |
|
|
631 | (2) |
|
15.9 Nomenclature to Sect. 15.7 |
|
|
633 | (4) |
|
|
635 | (2) |
|
16 External Cooling of Reactor Vessels during Severe Accident |
|
|
637 | (54) |
|
|
637 | (1) |
|
|
638 | (2) |
|
16.3 Dry Core Melting Scenario, Melt Relocation, Wall Attack, Focusing Effect |
|
|
640 | (1) |
|
16.4 Model Assumptions and Brief Model Description |
|
|
641 | (24) |
|
16.4.1 Molten Pool Behavior |
|
|
642 | (1) |
|
16.4.2 Two Dimensional Heat Conduction through the Vessel Wall |
|
|
643 | (1) |
|
16.4.3 Boundary Conditions |
|
|
644 | (2) |
|
16.4.4 Total Heat Flow from the Pools into the Vessel Wall |
|
|
646 | (1) |
|
16.4.5 Vessel Wall Ablation |
|
|
647 | (1) |
|
16.4.6 Heat Fluxes and Crust Formation |
|
|
648 | (1) |
|
16.4.7 Buoyancy Convection |
|
|
649 | (16) |
|
|
665 | (6) |
|
16.6 Application Examples of the Model |
|
|
671 | (8) |
|
16.6.1 The Effect of Vessel Diameter |
|
|
671 | (1) |
|
16.6.2 The Effect of the Lower Head Radius |
|
|
672 | (1) |
|
16.6.3 The Effect of the Relocation Time |
|
|
673 | (1) |
|
16.6.4 The Effect of the Mass of the Internal Structures |
|
|
674 | (1) |
|
16.6.5 Some Important Parameters Characterizing the Process |
|
|
674 | (4) |
|
16.6.6 Can External Cooling Be Used for Very High Powered PWRs? |
|
|
678 | (1) |
|
|
679 | (12) |
|
|
681 | (5) |
|
Appendix 1 Some Geometrical Relations |
|
|
686 | (5) |
|
17 Thermo-Physical Properties for Severe Accident Analysis |
|
|
691 | (176) |
|
|
693 | (7) |
|
17.1.1 Summary of the Properties at the Melting Line at Atmospheric Pressure |
|
|
693 | (2) |
|
17.1.2 Approximation of the Liquid State of Melts |
|
|
695 | (3) |
|
|
698 | (2) |
|
17.2 Uranium Dioxide Caloric and Transport Properties |
|
|
700 | (19) |
|
|
701 | (8) |
|
|
709 | (8) |
|
|
717 | (2) |
|
|
719 | (8) |
|
|
719 | (5) |
|
|
724 | (3) |
|
|
727 | (15) |
|
|
727 | (7) |
|
|
734 | (6) |
|
|
740 | (2) |
|
|
742 | (10) |
|
|
742 | (6) |
|
|
748 | (4) |
|
|
752 | (7) |
|
|
752 | (2) |
|
|
754 | (5) |
|
17.7 Aluminum Oxide, Al2O3 |
|
|
759 | (10) |
|
|
760 | (6) |
|
|
766 | (3) |
|
|
769 | (9) |
|
|
770 | (5) |
|
|
775 | (3) |
|
|
778 | (8) |
|
|
779 | (2) |
|
|
781 | (5) |
|
|
786 | (7) |
|
|
786 | (4) |
|
|
790 | (3) |
|
|
793 | (8) |
|
|
793 | (2) |
|
|
795 | (6) |
|
|
801 | (6) |
|
|
804 | (2) |
|
|
806 | (1) |
|
|
807 | (43) |
|
17.13.1 Some Basic Characteristics |
|
|
808 | (4) |
|
|
812 | (17) |
|
|
829 | (20) |
|
|
849 | (1) |
|
17.14 Lead, Bismuth and Lead-Bismuth Eutectic Alloy |
|
|
850 | (17) |
|
|
856 | (11) |
|
18 Containment Thermal-Hydraulics |
|
|
867 | |
|
18.1 Simple Lumped-Parameter Model |
|
|
868 | |
|
18.1.1 High Pressure Volume |
|
|
868 | (1) |
|
18.1.2 Discharge Mechanism |
|
|
869 | (1) |
|
|
869 | (6) |
|
|
875 | (1) |
|
|
876 | |
Subject Index |
|
379 | |