Aerodynamic forces and moments – centre of pressure – non-dimensional analysis – flow similarity, buoyancy forces, types of flows – substantial derivative – conservation of mass, momentum and energy equations.

Velocity potential and stream function – angular velocity, vorticity and strain, Elementary flows – uniform, source and sink – doublets and vortex flows. Superposition of elementary flows – pressure and velocity distributions on bodies with and without circulation in ideal fluid flow – Bernoulli's equation, Pitot tube.

Airfoil and wing geometry parameters – Wing of finite span, lift, drag – Lift/drag ratio – circulation and generation of lift – thin airfoil theory (Kutta-Joukowski's theorem) – Kutta condition, high lift airfoil section.

Prandtl equation and Rankine Hugoniot relation – Normal shock equations – Pitot static tube, corrections for subsonic and supersonic flows – Oblique shocks and corresponding equations – Hodograph and pressure turning angle – shock polars – Rayleigh and Fanno Flow – Flow past convex corners – Expansion hodograph – Reflection and interaction of shocks and expansion waves – Methods of Characteristics – Two-dimensional supersonic nozzle contours.

Viscous flows – Navier-Stokes equations – boundary layer properties – boundary layer, displacement, momentum thickness – the boundary layer equations, boundary conditions – incompressible boundary layer flow over a flat plate – Blasius solution.