Module Identifier MA34610  
Academic Year 2006/2007  
Co-ordinator Dr David M Binding  
Semester Intended for use in future years  
Next year offered N/A  
Next semester offered N/A  
Pre-Requisite MA25610  
Course delivery Lecture   19 Hours. (19 x 1 hour lectures)  
  Seminars / Tutorials   3 Hours. (3 x 1 hour example classes)  
Assessment TypeAssessment Length/DetailsProportion
Semester Exam2 Hours (written examination)  100%
Supplementary Assessment2 Hours (written examination)  100%

Learning outcomes

On completion of the module, a student should be able to:
1. determine the stream function for the flow of an inviscid fluid past body;
2. determine the velocity potential for an irrrotational flow;
3. establish Blasius's equation and apply it to the flow past various shapes, including aerofoils;
4. calculate image systems and apply them to the determination of flow past bodies;
5. determine complex potential functions of incompressible irrotational fluid flows.

Brief 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.


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 triffid, why we need to keep windows open in the typhoon season.


1. Stream functions in two- and three-dimensional hydrodynamics.
2. Complex variable techniques in two-dimensional hydrodynamics: method of images.
3. Conformal transformations; Joukowski transformation; Schwarz-Christoffel transformation.
4. Blasius's theorems for the force and moment on a body in a stream.   
5. Applications to aerofoil theory.

Reading Lists

** Essential Reading
A R Paterson (1983) A first course in fluid dynamics Cambridge 0521274249
D E Rutherford (1966) Fluid Dynamics Oliver and Boyd X27011380X
** Supplementary Text
A S Ramsey (1960) A Treatise on Hydrodynamics Part II: Hydrodynamics Bell X240524076
G Sutton (1965) Mastery of the air: an account of the science of flight Hodder and Stoughton 0006516618


This module is at CQFW Level 6