MA34610 - HYDRODYNAMICS II

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%

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.

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