MATH3974 Fluid Mechanics (Advanced)

General Information

This page contains information on the Senior advanced Unit of Study MATH3974 Fluid Mechanics (Advanced).

• Taught in Semester 1.
• Credit point value: 6.
• Classes per week: Three lectures and one tutorial.
• Lecturer(s): Georg Gottwald .

Please refer to the Senior Mathematics and Statistics Handbook for all questions relating to Senior Mathematics and Statistics. In particular, see the MATH3974 handbook entry for further information relating to MATH3974.

You may also view the Faculty Handbook entry for MATH3974 in the central units of study database.

Online Resources

• Information Sheet
• Tutorial sheets and solutions are available here. Tutorials start in Week 2.
• Useful vector identities
• Lecture 1
• Lecture 2
• Lecture 3
• Lecture 4
• Lecture 5

• There are InternShips available for students for over $1092 to work on Mathematical Biology. I have a project available on networks and synchronization. Please ask Mary Myerscough for details on projects and how to apply. marym@maths.usyd.edu.au

• Chapter 1 from Barenblatt's book
• Terence Tao on dimensional analysis
• Lecture 6
• Lecture 7
• Excerpt from the book by Chorin & Marsden on the Helmholtz decomposition
• Wikipedia on the Helmholtz decomposition
• Lecture 8
• matlab program to plot contour lines of stream functions
• Letter from Prof Connell to the Vice Chancellor outlining reasons why people are on strike; explaining very well why I feel that I have to support the strike
• How to derive the gradient operator for cylindrical coordinates
• General framework on how to derive differential operators for curvilinear coordinates
• Lecture 9
• Assignment 1 (deadline Monday 15/04 at 5pm)
• Lecture 10
• Lecture 11
• Lecture 12
• Lecture 13
• Lecture 14
• Terence Tao on why finding global regular solutions for the Navier-Stokes equation in 3D is hard. This is a 1 Million Dollar question of the Millenium Prize Problem of the Clay Institute
• Lecture 15
• Lecture 16
• Beautiful pictures and videos of vortex motions from the Fluid Dynamics Group at the National University of Singapore.
• Lecture 17
• Lecture 18
• YouTube videos of Taylor-Couette instabilities: Taylor vortices, Wavy vortices and transition to turbulence.
• Assignment 2 (deadline Friday 10/05 at 6pm)
• Lecture 19
• YouTube video of Hele-Shaw flow
• Lecture 20
• Lecture 21
• Lecture 22
• Lecture 23
• Notes by Peter Olver on Complex Analysis
• Excerpt from "Theoretical Aerodynamics" by Milne-Thomson Complex Analysis
• Lecture 24
• Lecture 25
• Lecture 26
• Lecture 27
• Lecture 28
• Lecture 29

Timetable

Last revised 01/05/13

All rooms are in the Carslaw building unless otherwise indicated.