Module Identifier MA34610  
Module Title HYDRODYNAMICS II  
Academic Year 2003/2004  
Co-ordinator Dr David M Binding  
Semester Semester 1  
Pre-Requisite MA25610  
Course delivery Lecture   19 x 1 hour lectures  
  Seminars / Tutorials   3 x 1 hour example classes  
Assessment
Assessment TypeAssessment Length/DetailsProportion
Semester Exam2 Hours  100%
Supplementary Assessment2 Hours  100%

Learning outcomes

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

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.

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

Content

  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

Books
** Essential Reading
D E Rutherford (1966) Fluid Dynamics Oliver and Boyd X27011380X
A R Paterson (1983) A first course in fluid dynamics Cambridge 0521274249
** 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 B6516618

Notes

This module is at CQFW Level 6