Unit name | Advanced Fluid Dynamics |
---|---|
Unit code | MATHM0600 |
Credit points | 20 |
Level of study | M/7 |
Teaching block(s) |
Teaching Block 1 (weeks 1 - 12) |
Unit director | Professor. Hogg |
Open unit status | Not open |
Pre-requisites | |
Co-requisites |
None |
School/department | School of Mathematics |
Faculty | Faculty of Science |
The behaviour of ordinary fluids like oil, water, or air can be understood on the basis of a single equation, due to Navier and Stokes. The description of fluid motion thus amounts to finding solutions to the Navier-Stokes equation, a mathematical problem of almost infinite variability and often staggering complexity. Fluid mechanics has broken up into a great number of subfields, this course will try to give a more unified view by emphasizing mathematical structures that reappear in different guises in almost all those sub-specialties.
Aims
Understanding the principles governing fluid flow snd the mathematical models used to investigate them.
Syllabus
Relation to Other Units
This unit is a continuation of the Level 3 Fluid Dynamics unit and an investiagtion of more advanced topics. This unit is self-contained and it is not necessary to have previously attended Level 3 Fluid Dynamics. However familarity with the key themes and ideas of Level 3 Fluid Dynamics would be advantageous.
After taking this unit, students should:
Transferable Skills:
Ability to transfer physical questions into well-defined mathematical problems. Understanding the critical parameters of a problem and developing intuition for the behaviour of a system as a function of these parameters.
A unit of 30 lectures spread over 12 weeks. Regular homework assignments are set.
The assessment mark for Advanced Fluid Dynamics is calculated from a 3-hour written examination in April consisting of FIVE questions. A candidate's best FOUR answers will be used for assessment.
Calculators are NOT permitted, but candidates may bring in to the examination material distributed during the course (printed or handwritten) but may not bring in textbooks.