Introduction
• Review of 1D gasdynamics and basic concept from thermodynamics
Two-dimensional gas dynamics
• Oblique shock waves; shock reflections (regular and Mach); shock/shock interactions; Prandtl-Meyer expansion waves; shock/expansion method for airfoils; under/over-expanded flow; supersonic wind tunnel.
Conservation laws and simplifications
• Conservation of mass, momentum and energy leading to the compressible Navier-Stokes equations, Crocco equation. Rotational and potential flows. Euler and potential flow equations.
Method of characteristics
• Derivation of method of charactersitsics (MoC). 2-D supersonic nozzle design using MoC.
External aerodynamics
• Flow patterns in transonic and supersonic airfoil flow; critical Mach number; thin airfoils in compressible flow; velocity potential and pressure coefficient; Prandtl-Glauert transformation; Ackeret
theory for supersonic airfoil flow; minimum wave drag; effect of sweepback; sub- and supersonic leading edges.
Heat transfer
• Elements of conduction, convection and radiation heat transfer. Laminar and turbulent boundary layers. Finite difference solution of heat equation. Heat exchangers. Application to heat transfer on high speed vehicles.
Revision
Coursework (e.g. MoC exercise) and examples sheets