| **Basics** (3 Lectures by Prof. Zoltan Spakovszky) |

1 | Continuity and Momentum Equations (Seen Before so no Detailed Derivation) Derivation of Energy Equation for a Compressible, Viscous, Heat Conducting Fluid |

2 | Thermo - and Mechanical Processes, Splitting the Energy Equation Entropy Changes and Thermodynamic Context Physical Meaning of the Terms, 2nd Law Exact Solution of the Navier-Stokes Equations for a One-Dimensional Flow Physical Insight into Shock Thickness and the "Origin" of Losses for a Shock Wave |

3 | Integral Forms of Equations of Motion Non-dimensional Parameters Characterizing Compressible Flow "Appropriate" Scaling-what are the Relevant Nondimensional Parameters? When is a Flow Compressible [For Both Steady and Unsteady Flow]? |

| **Quasi 1-D Compressible Flow and Extensions** (8 Lectures by Prof. Zoltan Spakovszky) |

4 | Physical Basis for the 1-D Flow Assumption, Role of 1-D Flow Descriptions (Insight, Overall Flow Characterization), Regimes of Relevance 1-D Isentropic Flow and Choking, Maximum Flow Per Unit Area "Corrected Flow" and Flow Functions |

5 | 1-D Flow in Converging-diverging Nozzles Shock Waves, Behavior of Nozzles (Brief Description) Starting of Supersonic Flows Transitions from Supersonic to Subsonic Flow in Constant Area Ducts |

6-7 | Generalized One-dimensional Flow With Mass, Momentum, and Energy Interchange Effect of Friction (Movement of Choke Point, Reduction in Max Flow) Effect of Heat Addition Analogies Between Mass, Momentum, and Heat Addition |

8 | General Compressible Flow Processes in Propulsion Systems Representation of Flow Processes in H-K Diagrams Applications to Ramjets and Scramjets |

9-10 | Axisymmetric Compressible Swirling Flow Derivation of Equations Examples: (i) Behavior of Static Pressure, (ii) Effects of Swirl on Maximum Mass Flow, (iii) Effect of Mass Addition on Total Pressure |

11 | Compound-compressible Flow (Combined Subsonic and Supersonic Streams) Compound Flow Regimes and the Compound Mach Number Compound Choking and Effect on Mass Flow Examples: Nozzles, Mixing Ducts |

| **Disturbance Behavior in a Compressible Flow** (2 Lectures by Prof. Zoltan Spakovszky) |

12 | Types of Perturbations in Compressible Flow: Entropy, Vorticity and Pressure Disturbances Coupling of Disturbance Types in Compressible Flow |

13 | Characteristic Disturbance Velocities and Behavior Unsteady Flow and Upstream Influence in Compressible Flow |

| **Gas Dynamic Discontinuities** (4 Lectures by Prof. Wesley Harris) |

14 | Shock Waves |

15 | Deflagrations |

16 | Detonations |

17 | Crocco's Theorem |

| **Two-Dimensional, Compressible, Linear Flows** (4 Lectures by Prof. Wesley Harris) |

18-20 | Constant Entropy Flows |

21-22 | Slender, Axially Symmetric Flows |

| **Two-Dimensional, Compressible, Non-Linear Flows** (4 Lectures by Prof. Wesley Harris) |

23-24 | Inviscid, Unsteady Transonic Flows |

25-26 | Inviscid Hypersonic Flows |