General description
This module continues the development of fluid mechanics, begun in MA25610, and deals in particular with the theory of two-dimensional motion and aerofoil theory.

Aims
To continue with the development of fluid mechanics, in particular the theory of two-dimensional motion and aerofoil theory, and to relate it to many natural and everyday events: why an aeroplane in flight is able to defy gravity, why the shower curtain always seems to envelope us like a tryphid. why we need to keep windows open in the typhoon season.

Learning outcomes
On completion of the module, a student should be able to:

• Determine the stream function for the flow of an inviscid fluid past body;
• Determine the velocity potential for an irrrotational flow;
• Establish Blasius's equation and apply it to the flow past various shapes, including aerofoils;
• Calculate image systems and apply them to the determination of flow past bodies;
• Determine complex potential functions of incompressible irrotational fluid flows.

Syllabus
1. Stream functions in three-dimensional hydrodynamics.
2. Complex variable techniques in two-dimensional hydrodynamics.
3. Blasius' theorems for the force and moment on a body in a stream.
4. Aerofoil theory.