1. Propagation of pressure waves
1.1 Propagation of sound wave
1.2 Sound waves from free flight body
1.3 Motion of beads system and wave propagation
1.3.1 Piston-bead collision
1.3.2 Bead-bead collision
1.3.3 Motions of piston and beads
1.3.4 Characteristic velocities
1.3.5 Averaged particle velocity
1.3.6 Kinetic energies
1.3.7 Compression ratio
1.3.8 Force on piston
1.4 Pressure wave propagation in collision between solids
2. Motions of gas particles related to thermodynamics
2,1 Fundamentals of thermodynamics
2.2 Thermal speed and flow velocity
2.3 Pressure
2.4 Energy and temperature
2.5 Ideal gas and its equation of state
2.6 Entropy
2.7 Enthalpy, total temperature and total pressure
2.8 Multi-component gas
3. Basic equations for flow
3.1 Conservation equations
3.1.1 Conservation of mass
3.1.2 Conservation of momentum
3.1.3 Conservation of energy
3.1.4 Other relations
3.1.5 Similarity in inviscid flow
3.2 Galilean transformation
3.2.1 Inertial frame of reference
3.2.2 Galilean transformation
3.2.3 Application to flow conservation equations
4. Discontinuity
4.1 Conditions and categories
4.1.1 Rankine-Hugoniot relations
4.1.2 Categories
4.2 Normal shock wave
4.2.1 General relations
4.2.2 Relations for thermally perfect gas
4.2.3 Glancing incidence
4.2.4 Stability of shock wave
4.2.5 Shock propagation with boundary layer
4.3 Oblique shock wave
4.3.1 Relations for oblique shock wave
4.3.2 Mach wave
4.3.3 Dual solutions
4.3.4 Attached and detached shock waves
4.4 Instability of discontinuities
4.4.1 Rayleigh-Taylor instability
4.4.2 Richtmyer-Meshkov instability
4.4.3 Kelvin-Helmholtz instability
5. Quasi-one-dimensional flows
5.1 Control volume and basic equations
5.1.1 Control volume
5.1.2 Conservation of mass
5.1.3 Conservation of momentum
5.1.4 Conservation of energy
5.1.5 Equation of state
5.1.6 Speed of sound
5.1.7 Flow Mach number
5.1.8 Relation among derivatives
5.2 Flow characteristics
5.2.1 Influence coefficients
5.2.2 Effects of duct cross-sectional area
5.2.3 Effects of heating/cooling
5.2.4 Effects of friction
5.2.5 Effects of volume force
5.2.6 Choking condition
5.3 Duct flow with friction
6. System with source terms
6.1 Generalized Rankine-Hugoniot relations
6.2 Detonation/deflagration
6.2.1 Regime of solution
6.2.2 Detonation
6.2.3 Deflagration
6.2.4 Variation in entropy
6.2.5 Variation in energy
6.2.6 ZDN model
6.2.7 Cellular structure in detonation
6.3 Ram accelerator
6.3.1 Operation principle and performance
6.3.2 Derivation of thrust
6.3.3 Thermally choking
6.3.4 Experiments
6.4 General form for jet propulsion
6.5 Air-breathing engine
7. Two-dimensional flows
7.1 Compression/expansion waves and Prandtl-Meyer function
7.2 Prandtl-Meyer expansion
7.3 Supersonic flow over a cone
7.4 Shock wave reflection
7.4.1 Reflection patterns in steady flows
7.4.2 Shock polar
7.4.3 Two-shock theory
7.4.4 Three-shock theory
7.4.5 Transition criteria
7.4.6 Exercise: Supersonic flow over triangle wing
8. Unsteady, one-dimensional flows
8.1 Sound wave
8.2 Characteristics and invariants
8.3 Compression waves
8.4 Expansion waves
8.5 Pressure wave propagation over normal shock wave
8.6 Shock propagation in variable-area duct
8.7 Blast waves
9. Riemann problem
9.1 Definition and solution of the problem
9.2 Shock tube
9.3 Reflection of normal shock wave
9.4 Reflection of expansion fan
9.5 Interaction between normal shocks
9.5.1 Head-on collision
9.5.2 Catching up with another normal shock
9.6 Interaction between shock wave and contact surface
10. Method of characteristics
10.1 Design of supersonic nozzle
10.1.1 Treatments for characteristic and flow
10.1.2 Design procedures of Laval nozzle
10.2 Wave diagram of shock tube operation
11. Generation and applications of compressible flows
11.1 Nozzle and orifice
11.1.1 Isentropic relations withr duct cross-sectional area
11.1.2 Flow rate
11.1.3 Thrust
11.1.4 Nozzle pressure ratio and its effects on flow/wave pattern
11.2 Supersonic diffuser
11.2.1 One-dimensional treatments
11.2.2 Multi-dimensional effects
11.2.3 Pseudo shock wave
11.3 Test methods of supersonic flow
11.3.1 Supersonic wind tunnel
11.3.2 Supersonic free flight
11.4 Unsteady drive
11.5 Shock tunnel
11.6 Expansion tube
11.7 Ballistic range
12. Shock-like phenomena
12.1 Shallow water flows
12.2 Traffic flows
12.2.1 Equilibrium model
12.2.2 Equation of motion and characteristics
12.2.3 Particle model
Appendix
A1. Derivative operator in various coordinates
A2. Conservation equations on curvilinear frames
A3. Stress tensor in compressible fluids
A4. Isentropic compressibility
A5. Derivation of characteristics and invariants in ageneral form