# here. 2301 (Fluid Mechanics)

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```							                          2301 (Fluid Mechanics)
Year:                    2009–2010
Code:                    MATH2301
Old Code:                MATHM231
Value:                   Half unit (= 7.5 ECTS credits)
Term:                    1
Structure:               3 hour lectures and 1 hour problem class per week.
Assessed weekly coursework
Assessment:              90% examination, 10% coursework
Normal Pre-requisites:   1301/1302, 1401/1402 (it is helpful to be taking 2101 and
2401 concurrently)
Lecturer:                Prof E R Johnson
Problem class teacher:   Dr MK Davey

Course Description and Objectives

How do airborne vehicles and birds ﬂy? How fast do waves move on the surface of water?
With applied mathematics it is possible to give quantitative answers to such questions: this
course deals with the simplest cases of ﬂuid motion and is the foundation of more advanced
study.

Recommended Texts

A recommended book is A R Paterson, A ﬁrst course in ﬂuid dynamics (CUP). Another book
is M E O’Neill & F Chorlton, Ideal and Incompressible Fluid Dynamics (Ellis Horwood).

Detailed Syllabus

1. Streamlines and particle paths. Motions which conserve mass. Irrotationality.

2. Equation of motion for inviscid ﬂuids.

3. Bernoulli’s equation. Channel ﬂow. Hydraulic jumps.

4. Waves on the surface of water.

5. Vorticity and circulation. Irrotational ﬂow past bodies. Forces.

6. Use of complex variable and conformal mapping. Lift on an aerofoil.

May 2008 2301

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