Next: MC240 Abstract Analysis
Up: Year 2
Previous: MC226 Numerical Linear Algebra
MC227 Fluids and Waves
| Credits: 10 |
Convenor: Dr. M. D. Dampier |
Semester: 1 |
| Prerequisites: |
essential: MC123, MC224 |
|
| Assessment: |
Regular coursework: 20% |
One and a half hour exam: 80% |
| Lectures: |
18 |
Classes: |
5 |
| Tutorials: |
none |
Private Study: |
52 |
| Labs: |
none |
Seminars: |
none |
| Project: |
none |
Other: |
none |
| Total: |
75 |
|
|
Course Description
This course develops the ideas of mechanics to a continuous medium using the mathematical tools learnt in the module Vector Analysis, MC224. It is strictly introductory although a focus on wave phen
Aims
The course aims to provide a mathematical introduction to the mechanics of inviscid fluids, and to apply the theory to wave phenomena. Waves in other media may also be considered
Objectives
To understand how to describe fluid flow.
To understand the role of contact forces, and to learn how to use the concept of pressure.
To be able to use the basic equations of inviscid fluid dynamics in a variety of simple situations.
To understand the basic concepts of wave motion - wave equation, frequency, wavelength.
Syllabus
1. Fluids, density, velocity field, conservation of mass.
2. Pressure, material derivative, Euler's equation.
3. Hydrostatics, liquids and gases, atmospheric equilibrium.
4. Steady flow, streamlines, Bernoulli's equation.
5. Streams of constant breadth.
6.Vorticity, irrotational motion.
7.Compressible flow, sound waves.
8.Other examples of wave motion.
Transferable Skills
Ability to apply the laws of classical dynamics to model a class of
physical phenomena.
Problem solving skills using mathematical tools.
Reading list
Recommended:
D.J.Acheson,
Elementary Fluid Dynamics,
Oxford.
This book contains considerably more material than is covered in this module,
but chapters 1 and 3 give a good coverage of most of the topics required..
Details of Assessment
The final assessment of this module will consist of 20% coursework
and 80% from a one and a half hour examination during the January exam
period. The 20% coursework contribution will be determined by students'
solutions to coursework problems. The examination paper will contain
4 questions with full marks on the paper obtainable from 3 complete answers.
Next: MC240 Abstract Analysis
Up: Year 2
Previous: MC226 Numerical Linear Algebra
S. J. Ambler
11/20/1999