M3A10/M4A10

Chapter One: The Derivation of the Governing Equations

The material that I will go through on transparencies in the lectures is available to download below.

Syllabus and Book List Important Principles Useful Formulae
Coordinate Transformations Important Theorems The Stress Tensor
 Stress-Rate of Strain Relation   Boundary Conditions   Flow Chart of Derivation 

The material that I go through on the board is not available online - you need to attend lectures for this!

Chapter Two: Exact Solutions of the Navier-Stokes Equations

Most of the material will be done on the board for this chapter:

Graphs for Rayleigh and Oscillating Plate problems    1 

Chapter Three: General Properties of Viscous Fluids

Chapter Four: Flow at Low Reynolds Number

Uniqueness of Stokes Flow     Flow Past a Sphere   

Chapter Five: Lubrication Theory

Chapter Six: Flow at High Reynolds Number - Boundary-layer Theory

Problem Sheets

These cover the entire course.

Sheet One (Fundamentals)  1  Sheet Two (Uni-Directional Flows)  1  Sheet Three (Exact Solutions)  1 
Sheet Four (Stokes Flow)  1  Sheet Five (Lubrication Theory)  1  Sheet Six (Boundary Layers)  1 

Problem Sheet Solutions

Sheet One (Fundamentals)   Sheet Two (Uni-Directional Flows)   Sheet Three (Exact Solutions)   
Sheet Four (Stokes Flow)    Sheet Five (Lubrication Theory)    Sheet Six (Boundary Layers)   

Assessed Coursework 2009 is . Deadline Friday 8th May.

Office Hours

You are welcome to discuss any aspect of the lectures or problem sheets with me at the following times: Tuesday 4pm (Room 539)