Module Identifier | MA34610 | ||

Module Title | HYDRODYNAMICS II | ||

Academic Year | 2001/2002 | ||

Co-ordinator | Dr David Binding | ||

Semester | Semester 1 | ||

Pre-Requisite | MA25610 | ||

Course delivery | Lecture | 19 x 1 hour lectures | |

Seminars / Tutorials | 3 x 1 hour example classes | ||

Assessment | Exam | 2 hour written examination | 100% |

Resit assessment | 2 hour written examination | 100% |

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.

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.

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.

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.

D E Rutherford. (1966)

A R Paterson. (1983)

A S Ramsey. (1960)

G Sutton. (1965)