Outline of the syllabus. First law of thermo. Types of thermodynamic processes.

2.

Entropy change in a perfect gas. Conservation of mass, momentum in quasi-1D flows.

3.

Conservation of energy in quasi-1D flows. Speed of sound, Mach number. Stagnation Pressure.

4.

Incompressible vs compressible stagnation pressure; stagnation temperature and density; subsonic and supersonic regimes in quasi-1D flow; choking at the throat.

5.

Force exerted by flow on structure due to change in momentum; Mach angle.

6.

Normal steady shock waves; Rankine-Hugoniot relations; perfect gas relations across a shock; shock tunnel; supersonic pitot tubes.

7.

Reflected unsteady shockwaves. Normal shocks standing in supersonic nozzles; change of critical area through a shock.

8.

Shock stability in converging and diverging ducts. Design of supersonic wind tunnels; choking of diffusers; shock swallowing.

9.

2D steady oblique shocks; derivation of oblique shock relations; weak and strong oblique shocks in supersonic inlets.

10.

Maximum flow turning angle in oblique shock. Pressure deflection diagram. Prandtl relation. Shock polar diagram.

11.

2D steady Prandtl-Meyer expansion and compression fans; airfoils in supersonic flow; Form drag of complex airfoils in supersonic flow; comparison with exact shock-expansion theory.

12.

Linearized theory to find pressure coefficient around airfoils.

13.

1D compressible frictional flow (Fanno line flow).

14.

Supersonic and subsonic compressible flow in pipes and constant-area ducts with friction; normal shockwaves in frictional flow;