Module Identifier MA25610  
Module Title HYDRODYNAMICS 1  
Academic Year 2006/2007  
Co-ordinator Dr David M Binding  
Semester Semester 2  
Other staff Dr David M Binding  
Pre-Requisite MP26020  
Mutually Exclusive MX35610  
Course delivery Lecture   19 Hours. (19 x 1 hour lectures)  
  Seminars / Tutorials   3 Hours. (3 x 1 hour example classes)  
Assessment
Assessment TypeAssessment Length/DetailsProportion
Semester Exam2 Hours (written examination)  100%
Supplementary Assessment2 Hours (written examination)  100%

Learning outcomes

On completion of this module, a student should be able to:
1. explain the notions of local and convected rates of change;
2. derive the equations governing the flow of an ideal fluid;
3. apply and solve the governing equations in specific situations.

Brief description

This module introduces and develops the basic concepts of Classical Hydrodynamics and provides a framework for a modern appreciation of Fluid Mechanics.

Aims

To provide the basic framework for a modern appreciation of Fluid Dynamics. To introduce the basic concepts of Classical Hydrodynamics. To explain how mathematical modelling of fluid motion can help in the understanding of certain real world phenomena in applications such as meteorology and aerodynamics.

Content

1. Basic concepts: Velocity, acceleration, pressure, density.
2. Review of vector calculus and coordinate systems.
3. Eulerian and Lagrangian reference systems.   
4. Kinematics of fluid motion: Pathlines, streamlines, streaklines, vorticity, etc.
5. Basic equations governing fluid motion.
6. Applications of Bernoulli's equation.
7. Foundations of classical hydrodynamics: Kelvin's theorems; Irrotational flow.
8. Incompressibility: Potential flow.
9. Simple hydrodynamic structures in 3D: Sources, sinks, doublets etc.
10. Introduction to the concept of image systems.
11. Some classical problems.

Reading Lists

Books
** Recommended Text
A R Paterson (1983) A first course in fluid dynamics Cambridge 0521274249
D E Rutherford (1983) Fluid Dynamics Oliver and Boyd X27011380X
** Supplementary Text
A S Ramsey (1960) A Treatise on Hydromechanics Part II: Hydrodynamics Bell X240524070

Notes

This module is at CQFW Level 5