Autumn semester

Unit(s) of Assessment	Weighting Towards Module Mark( %)
Coursework: 2 written assignments	25%
Examination: Written examination	75%
Qualifying Condition(s)

MS106 Classical Dynamics

This module introduces students to a wide variety of fluid flows.

By the end of the module, students should be able to recognise dominant features of fluid motion, and to derive some simple solutions of the equations of motion. Students should also have an appreciation of the force balances that produce various classes of flows.

Equations of fluid motion. Particle motion, mass conservation, simple derivation of the Navier-Stokes equations, boundary conditions, Reynolds number. [2 weeks]

Inviscid flow Bernoulli’s Theorem, channel flows (including the Severn bore), stagnation-point flow, inviscid flow past a sphere, spherical bubbles. [5 weeks]

Unidirectional viscous flow Poiseuille flow in channel and cylindrical pipe, Couette flow, Taylor-Couette flow, demonstration of instability. [1.5 weeks]

Stokes flow. Equations of motion, Stokes flow past a sphere. [1 week]

Introduction to the boundary layer. Explanation of the occurrence of the boundary layer, demonstration showing boundary layers and separation (include flow past a sphere. [0.5 weeks]

Teaching will be by lectures and problem classes. In addition to reading the lecture notes, students will learn by tackling a wide range of assessed and unassessed problems.

Three hours per week (lectures and problem classes).

D. J. Acheson, Elementary Fluid Dynamics, Oxford University Press, 1990.

31 July 2007