Assessment of Safety and Risk with a Microscopic Model of Detonation

Leiber, C.-O.

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Table of contents
  • Cover
  • Assessment of Safety and Risk with a Microscopic Model of Detonationiii
  • Copyright Pageiv
  • Contentsvii
  • Prologue1
  • Classical Theories of Detonation, a Description of the State of the Art1
  • References5
  • Chapter I. Shortcomings in the Macroscopic Plane-Wave Model of Detonation7
  • Description of the Physics7
  • Plane-Wave Detonation7
  • Acoustics of a Piston9
  • Discussion11
  • References11
  • Chapter II. Impedance Mirror Photography of H. Dean Mallory13
  • Interpretation of Impedance Mirror Photographs13
  • Impedance Mirror Photographs of Detonating Nitromethane15
  • Solid Explosives21
  • Dark Waves21
  • Reaction and Pressure Centers23
  • Initiation Experiments on NG Films28
  • References31
  • Chapter III. Pressure Generating Mechanisms33
  • Generation of Pressure Waves in Gases and Condensed Systems34
  • Questions on Resonance36
  • Pressure-Wave Generation by Non-Thermal Means37
  • Acoustic Power38
  • The Radiating Single Pressure Source39
  • Auxiliary Branches of Science39
  • References40
  • Chapter IV. Equations41
  • A - Acoustic Quantities41
  • Equation of State41
  • Euler Equation42
  • Acoustic Energy Density42
  • Time Averages43
  • The Velocity Potential Φ43
  • Monopole Cosine Sources45
  • Impedances46
  • Radiation Impedance47
  • Power of Radiation47
  • B - Spherical Waves Equation47
  • Continuity of Mass, Pressure Wave Generation47
  • Central Symmetric Spherical Wave Equation48
  • Plane Waves49
  • C - Comparison of the Properties of Plane and Spherical Waves49
  • Plane Waves49
  • Spherical Waves50
  • The Scattering Cross Section Qs53
  • D - General Spherical Wave Equation54
  • Harmonic Solutions54
  • Time Solutions55
  • Radial Solutions55
  • Stokes-Rayleigh Radial Solution55
  • Bessel Solution of the Radial Equation58
  • E - Scattering of a Plane Wave at a Sphere64
  • Reflection of a Plane Wave at a Rigid Sphere65
  • Pressure on the Surface of a Rigid Sphere66
  • F – Cylindrical Waves69
  • G - Waves in Elastic Isotropic Media70
  • Longitudinal Sound Velocity Cl72
  • Transverse Sound Velocity Cs72
  • Bulk Sound Velocity Co72
  • Sound Velocities and Elastic Properties73
  • Qualitative Description of possible additional Wave Phenomena74
  • References77
  • Chapter V. Pressure Sources for Modeling79
  • Harmonic Pressure Sources79
  • Monopole Source79
  • Computer Calculations83
  • Point Sources84
  • Monopole Cosine Source86
  • Radiation of a Short Motion Source86
  • Temkin's Solution87
  • References91
  • Chapter VI. Rayleigh's Bubble Model93
  • Energy Consideration93
  • Deduction of Rayleigh's Equation95
  • Devin's Bubble97
  • Minnaert's Resonance Condition97
  • Comparison with Rayleigh's Model98
  • Bubble Response to a Velocity Shock99
  • Generalized Description of Devin‘s Bubble101
  • Relations of Energy and Power103
  • Energy of the Vibrating System103
  • References105
  • Chapter VII. Losses by Volume Variations107
  • Radiation Loss δrad of Bubbles107
  • Radiation Loss delta rad of Cracks109
  • Dissipative Bubble Losses110
  • Calculation of Some Losses119
  • References122
  • Chapter VIII. Variety of Initiation Modes by Bubbles123
  • Soft Excitations124
  • Parametric Amplifications (Spontaneous Explosions)124
  • Complicated Excitation Modes126
  • Dynamic Response of the System128
  • Frequency Excitation Modes130
  • Description of Bubble Dynamics by H( )131
  • Differences between Nitromethane (NM) and Nitroglycerine (NG)136
  • Hot Spots137
  • Velocity Shocked Bubble137
  • Hot Spots of Pressure Activated Bubbles138
  • Shape of Pressure Pulses140
  • Excitation by Different Pulse Shapes140
  • Description of Finite Pressure Rise141
  • References144
  • Chapter IX. Various Approaches to Describe Bubble Dynamic Phenomena145
  • Scattering Cross-Sections145
  • Quasicontinuum Approach to Slow- and Low-Velocity Detonation148
  • Propagation Velocity of Pressure Waves in Bubbly Liquids148
  • Pressure Propagation Velocity in Liquids with Dynamic Activated Bubbles151
  • Physical Significance of a Complex Compressibility151
  • First Order Thermoynamic Phase Transition153
  • Qualitative Approach to the EoS157
  • LVD Pressure157
  • Interpretation of Scattering Cross Sections159
  • References160
  • Chapter X. Sensitivity Testing161
  • Historical Note161
  • Development of Sensitivity Concern163
  • Safety Relevant Test Data164
  • Reliability of Test Results166
  • On Predictions Based on Go/No Go Tests170
  • Binomial Distribution170
  • Experiments on Mechanical Sensitivity174
  • Drop-Weight Tests175
  • Other initiation mechanisms178
  • LVD and HVD Sensitivities179
  • Influence of Static Pressure on Sensitivity180
  • NG181
  • PETN181
  • RDX181
  • References182
  • Chapter XI. Low-(LVD) And Slow-Velocity Detonation ( SVD ) of Liquid Explosives185
  • SVD and LVD in Liquid Explosives189
  • LVD => HVD => LVD Transitions191
  • Observations of LVD in Liquids192
  • Frozen Shocks and Phase Transitions196
  • Stable and Unstable LVD196
  • LVD Sensitivity199
  • Critical Diameters201
  • The LVD Velocity/Diameter Relationship202
  • LVD of Liquids under static Pressure203
  • Spin Detonation – Jumping Detonation204
  • GENERAL RESULTS206
  • Explosion Tests of the US Bureau of Mines207
  • Instrumented Gap Test207
  • Physical Explosion209
  • Cavitation in Large Hydraulic Structures210
  • Conclusion214
  • References215
  • Chapter XII. Low Velocity Detonation of Solid Explosives219
  • LVD of Porous Crystalline Explosives219
  • LVD of High-Density Solid Explosives221
  • Classical Aspects226
  • Explanation of Double Explosions226
  • Proper Reaction Stimulus228
  • LVD of Pyrotechnics and Propellants230
  • Primary Explosives231
  • LVD of Black Powder231
  • Other Examples of LVD232
  • Propellants232
  • Testing for LVD Risks233
  • LVD Tube Test233
  • Gap Tests236
  • Type 1 Impact Test240
  • Set-Back Tests240
  • Testing of Initiators241
  • Technical Applications244
  • Practical Examples of Irregularities244
  • Dangerous UN Recommendations248
  • References249
  • Chapter XIII. Case Histories253
  • Frequencies and Types of Explosion Accidents253
  • Double Explosions255
  • Explosions of Pure Chlorates258
  • Cases wth Ammonium Nitrate (AN)261
  • Thermal decomposition261
  • Cases of Thermal Decomposition and Environmental Pollution of AN and Fertilizers without Explosions263
  • Explosions of Ammonium Nitrate and Fertilizers266
  • Accident Histories270
  • Ammonium Nitrate (AN) Explosions270
  • Explosions of AN-based Class 1.5 and 1.6 Explosives and Articles274
  • Accidents and Non-Accidents with Liquid Nitromethane274
  • Explosion of other than 1. 1 Solutions278
  • Concerns with ‘empty’ Tubes and Films279
  • Discussion of Safe Distances282
  • Case Histories of Non-Chemical Based Explosions (Physical Explosions)284
  • Nature285
  • Physical Explosions in the Kitchen and Daily Life290
  • Safety and Industrial Physical Explosions293
  • Hydraulic Transients296
  • Evaporations – ‘Flash’-Evaporations299
  • Degassing, Foaming up309
  • Summary View311
  • Progress in Safety by Accidents312
  • References314
  • Chapter XIV. Dipole Scattering321
  • Historical Development321
  • Pressure Waves in an Inhomogeneous Medium322
  • Critical Conditions for the Onset of Dynamic Void Mobilities330
  • Onset of Dynamic Particle Mobilities331
  • On the So Called Non-Ideal Explosives335
  • Dynamic Voids Behavior336
  • Dynamic Dense Particle Behavior336
  • German Permitted Class III Explosives, Ahrens and Kuhn-Käufer Selectivity337
  • Experimental Demonstration of a Selective Detonation338
  • Effects of Surface Coatings339
  • New Aspects340
  • Cascaded Collisions340
  • Central Elastic Impacts341
  • Reference340
  • Chapter XV. Finite Shock Rise345
  • Plane-Wave "Exact" Shock Relations345
  • Description of a Finite Pressure Rise346
  • Shock-Activated Particle Mobilities347
  • Experiments on Dynamic Particle Mobility347
  • The Shock Rise350
  • Hydrodynamic Pair Formation352
  • Memory Effect - (Materials Never Forget Shocked States)353
  • Different Dynamic Fracture Modes355
  • References357
  • Chapter XVI. Void Precursors359
  • Precursors in Detonation359
  • Luminosity ahead of the Detonation Front360
  • Pressure Precursors360
  • HVD Initiation of Liquid Explosives361
  • Problems with the proper Hugoniots365
  • Stability of the Precursor Mechanism367
  • Sensitization by dense Inerts, Hydrodynamic Pair Formation367
  • References368
  • Chapter XVII. Alterations of Hugoniots by Bubble Flow371
  • Hugoniots of Liquids372
  • Energy Barriers377
  • Model of a Shock-Pressure Barrier378
  • Hugoniots of Porous Solid Media and Foams380
  • Pressure Determination by X-Ray Flush Techniques383
  • Comparison with Classical Calculations384
  • Appendix: Summary of Experimental Hugoniots385
  • Referenccs390
  • Chapter XVIII. Critical Dimensions393
  • Classical Aspects of Critical Phenomena394
  • Facts and Problems about Critical Diameters394
  • Microscopic Detonation Model396
  • Coupling of Geometric Quantities with Dynamics397
  • Harmonic Pressure Source397
  • Linear Arrays of Harmonic Pressure Sources398
  • Asymptotic Considerations399
  • Infinitely Dense Linear Arrays of Harmonic Pressure Sources401
  • The Minimum Number of Pressure Sources401
  • Lobe Formation in other Geometric Configurations401
  • Critical Dimension Phenomena Near Sources in a Linear Array405
  • Acoustic Quantities for a Single Source409
  • Stenzel/Brosze Problem (Two Sources)410
  • Many Synchronous Sources of Equal Strength and Phase412
  • Mallory's Postage Stump Test417
  • Critical Diameter and Confinement417
  • On the Synchronism of the Phases of the Pressure Sources417
  • References422
  • Chapter XIX. Critical Diameter(S) of Nitromethane (NM)425
  • Methods for Determination of the Critical Diameter425
  • Tests with Cones426
  • On the Nature of the Critical Diameter428
  • Corresponding Cap Tests on Technical Grade NM429
  • Sensitization and Desensitization (Phlegmatization)433
  • Variation of the Critical Diameter(s) of NM by Additives434
  • Critical Diameters of Sensitized NM434
  • Critical Diameters of UV Illuminated NM435
  • Critical Diameter of Desensitized NM435
  • Effects of Water on the Critical Diameter437
  • Effects of EDA on the Critical Diameter of NM437
  • Critical Diameter of the NM/Methanol System439
  • Critical Diameter of the NM/i-Propyl Nitrate System440
  • Critical Diameters of NM as Function of its Dilution and Confinement441
  • The aci-Form of NM441
  • Application of Detonation Traps443
  • References445
  • Chapter XX. Smooth and Rough Pressure Fronts, Dark Waves and DDT447
  • Introduction447
  • Modeling of Pressure Fronts447
  • Application to a Linear Array449
  • Deflagration Detonation Transition Approach452
  • Impedances of Source Arrays453
  • Discussion of Impedance Results457
  • Cell and Herringbone Structures in Detonation458
  • Introduction458
  • Cell Patterns458
  • Modeling of Cell and Herring-Bone Patterns462
  • Propagation of Detonation467
  • References470
  • Chapter XXI. Shock Tubes473
  • Initiation of Shocks473
  • Extrapolation to Larger Dimensions474
  • On the Mechanism of Shock Tubes475
  • Experiments on Shock Tubes483
  • Initiation of NM by Explosive Blasts485
  • Surface Detonations485
  • Wick Detonation485
  • Detonation on a Porous Surface485
  • Detonation on the Surface486
  • References486
  • Chapter XXII. Detonation Phenomena in Charges with an Axial Cavity487
  • Experiments487
  • Precursors491
  • Reference492
  • Chapter XXIII. Microscopic and Macroscopic Properties of Solids493
  • A: Properties of Single Crystals495
  • Introduction495
  • On Directional Properties495
  • Orientations, Choice of Axes496
  • Thermal Expansion497
  • Generalized Hooke’s Law498
  • Elastic Constants of the different Crystal Classes502
  • Lame' Constants of the Isotropic Body505
  • Rotated Elastic Constants of Single Crystals506
  • Anisotropy of Young's Modulus507
  • Anisotropy of Axial Compression507
  • Anisotropy of the General (Shear) Modulus509
  • Irrotational Properties509
  • Treatment of the Elastic Tensor509
  • Elastic Properties of the Polycrystalline Aggregate511
  • Solid Isotropic Body - Comparison of the Voigt and Reuss Procedures511
  • Peculiarities of Elastic Constants513
  • Ideal Gases, Liquids, Hydrodynamic States in Shock Physics514
  • Interconversion of the Technical Elastic Constants514
  • Evaluation and Comparison of Elastic Properties, Mixing Properties515
  • Chemical Structure - Elasticity Relationship515
  • Characterization of the Anisotropy in Polycvstalline Media516
  • Appendix: Analytical Formula of Interconversions Crk <=> Sik for Some Cases517
  • Elastic Data of PETN, RDX, B-HMX and AP519
  • PETN Single Crystal520
  • RDX Single Crystal (20°C)524
  • B-HMX Single Crystal, 26°C527
  • B-HM Single Crystal, 107°C531
  • Ammonium perchlorate (AP) Single Crystal534
  • Ammonium perchlorate (AP) Single Crystal537
  • Macroscopic Appearance of the Mesoscale Character539
  • Estimates of Polycrystalline Properties539
  • Sound Velocities539
  • Polycrystalline Hugoniot Estimates539
  • Ductility and Pressability of Explosive Powders541
  • Thermoshock Resistance of the Matrix542
  • Hugoniot Elastic Limit (HEL)543
  • Dimensional Instabilities of a Matrix543
  • Structural Compatibilities544
  • Aging and Detonic Sensitivity Properties545
  • Catastrophes for the Polycrystalline Matrix546
  • On Mock Explosives546
  • Textures547
  • Conclusions From Single Crystal Data548
  • Polymorphs548
  • Volume Variations by Phase Transitions548
  • Anisotropy of Elasticity, Thermal Expansion, Thermal Conductivity and other Transport Properties549
  • On the Grüneisen Tensor550
  • Microscopic versus Macroscopic Views - Conclusion551
  • References552
  • Chapter XXIV. Fracture Dynamics of Initiation555
  • A Novel Idea on Crack Development555
  • Pressure Waves in Polycrystalline Materials555
  • Basic Fracture Dynamics556
  • Application to Initiation557
  • Fracture and Chemical Decomposition559
  • Estimation of the Impedance of a Crack561
  • Some Different Mechanisms of HVD Sensitivities562
  • Test of this Idea on Initiation Experiments563
  • Properties of Single Crystals565
  • References565
  • Authors569
  • Subject Index579
Book details
  • Vendor Elsevier S & T
  • SKU 9780444513328
  • ISBN-13 9780080527628
  • Author Leiber, C.-O.
  • Category Science
  • Subject Waves & Wave Mechanics

Do you have questions about this book?

Ask an expert!

This unique book is a store of less well-known explosion and
detonation phenomena, including also data and experiences related to
safety risks. It highlights the shortcomings of the current
engineering codes based on a classical plane wave model of the
phenomenon, and why these tools must fail.

For the first time all the explosion phenomena are described in terms
of proper assemblages of hot spots, which emit pressure waves and
associated near field terms in flow. Not all of the approaches are
new. Some even date back to the 19th century or earlier.. What is new
is the application of these approaches to explosion phenomena. In
order to make these tools easily available to the current detonation
physicist, basic acoustics is therefore also addressed.

Whereas the current plane wave, homogeneous flow detonation physics
is an excellent engineering tool for numerical predictions under
given conditions, the multi-hot-spot-model is an additional tool for
analyzing phenomena that cannot be explained by classical
calculations. The real benefit comes from being able to understand,
without any artificial assumptions, the whole phenomenology of
detonations and explosions. By specifying pressure generating
mechanisms, one is able to see that the current treatment of the
detonics of energetic materials is only a very special - but powerful
- case of explosion events and hazards. It becomes clear that
physical explosions must be taken into account in any safety
considerations. In these terms it is easy to understand why even
liquid carbon dioxide and inert silo materials can explode.

A unique collection of unexpected events, which might surprise even
specialists, has resulted from the evaluation of the model. Therefore
this book is valuable for each explosion and safety scientist for the
understanding and forecasting of unwanted events. The text mainly
addresses the next generation of explosion and detonation scientists,
with the goal of promoting the science of detonation on a new
physical basis. For this reason gaps in current knowledge are also
addressed. The science of explosions is not fully mature, but is
still in its beginning - and the tools necessary for furthering the
understanding of these phenomena have been with us for centuries.