16.120 | Spring 2003 | Graduate

Compressible Flow


  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

Course Info

As Taught In
Spring 2003
Learning Resource Types
Problem Sets