Introduction to Detonation Theory |
Contents
Fig 1A1 Shock driven by a constantvelocity piston | 5 |
equations of motion for compressible flow with chemical reaction with | 13 |
NONREACTIVE FLOW | 16 |
Fig 2B1 Initial data and the solution region determined by it | 21 |
Fig | 27 |
Fig | 33 |
Fig 2E1 Shockchange relation | 41 |
REACTIVE FLOW | 46 |
Fig | 142 |
Role of the W separatrix | 148 |
Fig | 154 |
Fig | 160 |
Fig 6G1 Phase transition with viscosity | 164 |
Fig 6H2 Phase plane | 171 |
STABILITY OF THE REACTION ZONE | 176 |
1 | 180 |
Fig 3B1 Fixed and equilibriumcomposition curves | 50 |
EQUILIBRIUM INITIAL STATE | 81 |
1 Frozen and equilibrium curves | 82 |
Fig | 88 |
THE SIMPLEST DETONATION | 94 |
1 Steady detonation ZND model and nonreactive | 95 |
Fig 5A2 Overdriven detonation | 101 |
Fig | 107 |
Fig 5B4 Steady solution characteristics in the shocktime | 112 |
STEADY SOLUTIONS | 115 |
Fig | 121 |
Fig | 127 |
Fig 6C3 Rayleigh line WS for the following shock | 133 |
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Common terms and phrases
analog axis boundary condition boundary problem centered rarefaction wave Chapter characteristic CJ detonation CJ point coefficient consider constant contour critical point D₁ decay decreases deflagration density dx/dt eigenvalue detonation eigenvalue solution eigenvector endothermic equation of motion equilibrium curve equilibrium sound speed example exothermic final finite following flow frozen sound speed given gives governing equations Hugoniot I₁(s integral curve intersection isentrope Laplace transform lead shock linear moves negative Neumann point obtain one-way reaction ordinary differential equation overdriven detonation p_(s p₁ particle perturbation phase plane physical system propagation velocity r₁ rate equation rate function Rayleigh line reaction rate result separatrix shock velocity shock-time frame shown in Fig slope sonic locus sonic point standard equation steady reaction zone steady solution strong branch subsonic supersonic tangent term thermicity transformation vanishes variable velocity problem viscosity W₁ x₁ zero λ₁ λε


