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Explosive Boiling of Superheated Cryogenic Liquids

Explosive Boiling of Superheated Cryogenic Liquids

Vladimir G. Baidakov

ISBN: 978-3-527-61065-5

Jun 2007

352 pages



The monograph is devoted to the description of the kinetics of spontaneous boiling of superheated liquefied gases and their solutions. Experimental results are given on the temperature of accessible superheating, the limits of tensile strength of liquids due to processes of cavitation and the rates of nucleation of classical and quantum liquids. The kinetics of evolution of the gas phase is studied in detail for solutions of cryogenic liquids and gas-saturated fluids. The properties of the critical clusters (bubbles of critical sizes) of the newly evolving gas phase are analyzed for initial states near the equilibrium coexistence curves of liquid and gas, for states near the limits of accessible superheating and for initial states near the respective spinodal curves. Finally, processes of explosive boiling of cryogenic liquids are considered occurring as the result of outflow processes and intensive interactions with high-temperature liquid samples.

Foreword V

Preface XI

1 Introduction 1

2 Equilibrium, Stability, and Metastability 7

2.1 Types of Equilibria: Stability Criteria 7

2.2 Boundary of Essential Instability 13

2.3 Elements of Statistical Theory 16

2.4 Phase Stability Against Finite Perturbations 19

2.5 Critical Heterophase Fluctuations 23

2.6 Relaxation Processes in Metastable Phases 26

2.7 Dynamics of Heterophase Fluctuations 30

2.8 Kinetic Nucleation Theory (Multiparameter Version) 35

2.9 Approximations and Limitations of Classical Nucleation Theory 41

2.10 Nucleation at a High Degree of Metastability 47

2.11 Nucleation Bypassing the Saddle Point 51

2.12 Some Comments on Nucleation Theory 57

3 Attainable Superheating of One-Component Liquids 61

3.1 Two Approaches to the Determination of theWork of Formation of a Critical Bubble 61

3.2 Boiling-Up Kinetics of Superheated Liquids 65

3.3 Elements of the Stochastic Theory of Nucleation 74

3.4 Experimental Procedures in the Analysis of Boiling in Superheated Liquids 78

3.5 Quasistatic Methods of Investigating Limiting Superheatings of Liquids 82

3.6 Dynamic Methods of Investigating Explosive Boiling-Up of Liquids 88

3.7 Results of Experiments on Classical Liquids 91

3.8 Superheating of Quantum Liquids 107

3.9 Surface Tension of Vapor Nuclei 116

3.10 Cavitation Strength of Cryogenic Liquids 123

3.11 Attainable Superheating of Liquid Argon at Negative Pressures 138

3.12 Initiated Nucleation 145

3.13 Heterogeneous Nucleation 151

4 Nucleation in Solutions of Liquefied Gases 159

4.1 Critical Nucleus and the Work of its Formation 159

4.2 Theory of Nucleation in Binary Solutions 165

4.3 Attainable Superheating of Solutions of Hydrocarbons 172

4.4 Methods of Experimentation on Solutions of Cryogenic Liquids 174

4.5 Solutions with Complete Solubility of the Components 177

4.6 Solutions with Partial Solubility of the Components 182

4.7 Equation of State and Boundaries of Thermodynamic Stability of Solutions 190

4.8 Properties of Critical Bubbles in Binary Solutions 195

4.9 Comparison of Theory and Experiment for Binary Solutions 204

4.10 Kinetics and Thermodynamics of Nucleation in Three-Component Solutions 209

4.11 Attainable Superheatings of Ternary Solutions of Cryogenic Liquids 213

5 Nucleation in Highly Correlated Systems 219

5.1 Introduction 219

5.2 Critical Configuration and its Stability 222

5.3 Steady-State Nucleation 228

5.4 Peculiarities of New Phase Formation in the Critical Region 232

5.5 Experimental Investigations of Nucleation in the Vicinity of Critical and Tricritical Points 240

5.6 Comparison of Theory and Experiment 245

5.7 Nucleation in the Vicinity of a Spinodal Curve 253

5.8 Theory of Spinodal Decomposition 259

5.9 Experimental Studies of Spinodal Decomposition 266

6 Nucleation Kinetics Near the Absolute Zero of Temperature 273

6.1 Quantum Tunneling of Nuclei 273

6.2 Limiting Supersaturations of 4He-3He-Solutions 278

6.3 Formation of Quantum Vortices in Superfluid Helium 284

6.4 Quantum Nucleation Near the Boundary of Essential Instability 289

6.5 Quantum Cavitation in Helium 294

6.6 Some Other Problems of Phase Metastability 299

7 Explosive Boiling-Up of Cryogenic Liquids 309

7.1 Superheating in Outflow Processes 309

7.2 Vapor Explosion at the Interface of Two Different Liquids 314

List of Symbols 321

References 323

Index 337