|| MA34610 |
|| HYDRODYNAMICS II |
|| 2007/2008 |
|| Dr David M Binding |
|| Intended for use in future years |
|Next year offered
|| N/A |
|Next semester offered
|| N/A |
|| MA25610 |
| Course delivery
|| Lecture || 19 Hours. (19 x 1 hour lectures) |
|| Seminars / Tutorials || 3 Hours. (3 x 1 hour example classes) |
|Assessment Type||Assessment Length/Details||Proportion|
|Semester Exam||2 Hours (written examination) ||100%|
|Supplementary Assessment||2 Hours (written examination) ||100%|
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.
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.
** Essential Reading
A R Paterson (1983) A first course in fluid dynamics
D E Rutherford (1966) Fluid Dynamics
Oliver and Boyd X27011380X
** Supplementary Text
A S Ramsey (1960) A Treatise on Hydrodynamics Part II: Hydrodynamics
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