Compressible Flow

Calendar

LEC #	TOPICS
	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