Foreword |
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ix | |
Introduction |
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xi | |
Nomenclature |
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xv | |
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1 Two-Phase Flow Oscillatory Thermal-Hydraulic Instability |
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1 | (50) |
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1.1 Classification of Types of Thermal-Hydraulic Instability and Typical Thermal and Hydrodynamic Boundary Conditions |
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1 | (4) |
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1.2 Two-Phase Flow Instability at Low Exit Qualities |
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5 | (17) |
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1.2.1 Effect of the Individual Upflow Section Height |
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12 | (3) |
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1.2.1.1 Throttling Effect |
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15 | (2) |
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1.2.1.2 Effect of Exit Quality Increase |
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17 | (1) |
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1.2.1.3 Effect of Coolant Flow Rate and Pressure in the System |
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18 | (1) |
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1.2.1.4 Effect of Heat Flux Surface Density |
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18 | (1) |
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1.2.1.5 Effect of Power Distribution along the Height |
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19 | (1) |
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1.2.1.6 Effect of Coolant Flashing in Individual Riser Section |
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20 | (1) |
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1.2.1.7 Effect of Nonidentical Parallel Channels |
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21 | (1) |
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1.3 Two-Phase Flow Oscillatory Instability at High Exit Qualities (Density-Wave Instability) |
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22 | (21) |
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1.3.1 Instability Mechanism |
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24 | (8) |
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32 | (1) |
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1.3.3 Effect of Local and Distributed Hydraulic Resistance |
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32 | (3) |
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1.3.4 Effect of Nonheated Inlet and Exit Sections |
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35 | (1) |
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1.3.5 Effect of Inlet Coolant Subcooling |
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36 | (2) |
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1.3.6 Effect of Specific Heat Flux, Mass Velocity, Channel Length, and Equivalent Diameter |
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38 | (2) |
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1.3.7 Effect of Kind and Height Distribution of Heating |
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40 | (2) |
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1.3.8 Effect of Channel Orientation |
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42 | (1) |
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1.4 Simplifying Assumptions Underlying Mathematical Model and Their Effect on Accuracy of Thermal-Hydraulic Stability Boundary Prediction |
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43 | (8) |
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2 Oscillatory Stability Boundary in Hydrodynamic Interaction of Parallel Channels and Requirements to Simulate Unstable Processes on Test Facilities |
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51 | (22) |
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2.1 Qualitative Effect of Hydrodynamic Interaction of Parallel Channels on Oscillatory Stability Boundary |
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51 | (11) |
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2.1.1 Use of Compressible Volumes |
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52 | (3) |
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55 | (2) |
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2.1.3 Use of a System of Two Parallel Heated Channels |
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57 | (3) |
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2.1.4 Use of Two Hydraulically Identical Parallel Channels with Nonheated Bypass |
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60 | (1) |
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2.1.5 Use of Test Facilities with Multichannel Systems |
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61 | (1) |
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2.2 Simulation of Thermal-Hydraulic Instability in Complex Systems |
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62 | (11) |
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3 Simplified Correlations for Determining the Two-Phase Flow Thermal-Hydraulic Oscillatory Stability Boundary |
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73 | (26) |
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73 | (1) |
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74 | (2) |
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3.3 The Saha-Zuber Method |
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76 | (6) |
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3.4 The Method of the Institute for Physics and Energetics (IPE) |
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82 | (7) |
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3.5 Determination of Oscillatory Stability Boundary at Supercritical Pressures |
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89 | (10) |
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94 | (2) |
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3.5.2 The Saha-Zuber Method |
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96 | (3) |
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4 Some Notes on the Oscillatory Flow Stability Boundary |
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99 | (46) |
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99 | (1) |
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4.2 Experimental Determination of the Stability Boundary |
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100 | (8) |
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4.3 Experimental Determination of Thermal-Hydraulic Stability Boundaries of a Flow Using Operating Parameter Noise |
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108 | (7) |
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4.4 The First Approximation Stability Investigation |
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115 | (7) |
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4.5 Stability Investigations Based on Direct Numerical Solution of the Unsteady System of Nonlinear Equations |
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122 | (22) |
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4.5.1 Construction of the Discrete Analog of the Initial System of Differential Equations |
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131 | (13) |
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144 | (1) |
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145 | (84) |
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145 | (8) |
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5.2 Ambiguity of Hydraulic Curve due to Appearance of a Boiling Section at the Heated Channel Exit |
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153 | (8) |
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5.2.1 Effect of Local Hydraulic Resistance |
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155 | (2) |
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157 | (1) |
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5.2.3 Effect of Channel Inlet Coolant Subcooling |
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157 | (1) |
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5.2.4 Effect of Heat Flux Density, Channel Length, and Equivalent Diameter |
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158 | (2) |
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5.2.5 Effect of Heating Distribution and Kind |
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160 | (1) |
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5.2.6 Effect of the Pressure Drop Gravity Component and Steam Slip Coefficient |
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160 | (1) |
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5.3 Hydraulic Characteristic Ambiguity in the Presence of a Superheating Section |
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161 | (21) |
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5.3.1 Specifics of the Ambiguity Region Formation |
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161 | (2) |
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5.3.2 Effect of the Kind of Heating |
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163 | (9) |
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5.3.3 Influence of Parallel-Channel Operation and Means of Controlling Parameters |
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172 | (5) |
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177 | (5) |
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5.4 Hydraulic Characteristic Ambiguity in Cases of Coolant Downflow and Upflow-Downflow |
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182 | (29) |
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5.4.1 Two-Phase Coolant Flow Static Instability |
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184 | (2) |
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5.4.1.1 Effect of the Channel Heated Height |
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186 | (1) |
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5.4.1.2 Effect of Channel Equivalent Diameter |
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187 | (1) |
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5.4.1.3 Effect of Pressure |
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188 | (1) |
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5.4.1.4 Effect of Heat Flux Surface Density |
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188 | (2) |
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5.4.1.5 Effect of Heat Flux Nonuniformity along the Height |
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190 | (1) |
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5.4.1.6 Effect of Heating Surfaces' Arrangement in Channels with Coolant Upflow-Downflow |
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191 | (2) |
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5.4.1.7 Effect of Throttling |
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193 | (1) |
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5.4.1.8 Effect of Steam Slip |
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194 | (1) |
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5.4.1.9 Effect of Channel Inlet Coolant Subcooling |
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194 | (7) |
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5.4.2 Single-Phase Coolant Flow Static Instability |
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201 | (10) |
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5.5 Pressure Drop Oscillations |
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211 | (15) |
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5.6 Some Other Mechanisms Inducing Static Instability |
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226 | (3) |
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6 Thermal-Acoustic Oscillations in Heated Channels |
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229 | (42) |
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6.1 Thermal-Acoustic Oscillations at Subcritical Pressures |
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229 | (22) |
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6.1.1 Oscillations' Development Pattern and Initiation Mechanism |
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229 | (10) |
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6.1.2 Effect of Flow Parameters on Oscillation Characteristics |
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239 | (12) |
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6.2 TAOs at Supercritical Pressures |
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251 | (20) |
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6.2.1 Oscillations' Development Pattern: A Concept of Oscillations' Initiation Mechanism |
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251 | (6) |
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6.2.2 Effect of Flow Parameters on Oscillation Characteristics at Supercritical Pressures |
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257 | (3) |
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6.2.3 Effect of Channel Design Specifics on Heat Removal and TAOs' Characteristics |
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260 | (6) |
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6.2.4 Effect of Dissolved Gas on TAOs' Characteristics |
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266 | (5) |
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7 Instability of Condensing Flows |
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271 | (20) |
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271 | (3) |
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7.2 Instability of Condenser Tube and Hotwell System |
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274 | (3) |
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7.3 Interchannel Instability in System of Parallel-Connected Condensing Tubes |
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277 | (11) |
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7.4 Water Hammers in Horizontal and Almost Horizontal Steam and Subcooled Water Tubes |
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288 | (1) |
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7.5 Instability of Bubbling Condensers |
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289 | (2) |
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8 Some Cases of Flow Instability in Pipelines |
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291 | (50) |
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8.1 Self-Oscillations in Inlet Line-Pump System |
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291 | (14) |
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8.2 Instability of Condensate Line-Deaerator System |
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305 | (9) |
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8.3 Vibration of Pipelines with Two-Phase Adiabatic Flows |
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314 | (17) |
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8.3.1 Examples of Vibration of Industrial Pipelines with Two-Phase Flows |
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314 | (5) |
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8.3.2 Vibration of Gas-Liquid Pipelines |
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319 | (1) |
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8.3.2.1 Pulsations of the Adiabatic Two-Phase Flow Pressure in Pipelines |
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319 | (7) |
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8.3.2.2 Transport Delay-Based Instability Mechanism |
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326 | (3) |
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8.3.2.3 Hysteresis of the Hydraulic Discriminant in Pipelines |
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329 | (1) |
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8.3.2.4 Slug and Plug Regimes of the Two-Phase Flow in Pipelines |
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330 | (1) |
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8.3.2.5 Oscillatory Processes in the Two-Phase Flow in the Externally Controlled Pipelines |
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330 | (1) |
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8.4 Two-Phase Flow Instabilities and Bubbling |
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331 | (10) |
References |
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341 | (12) |
Index |
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353 | |