- Department: Mathematics
- Module co-ordinator: Prof. Martin Bees
- Credit value: 10 credits
- Credit level: H
- Academic year of delivery: 2022-23
- See module specification for other years: 2021-22
Pre-requisite modules
Co-requisite modules
- None
Prohibited combinations
Pre-requisite modules for Natural Sciences students: Fundamentals of Fluid Dynamics (MAT00012H).
Occurrence | Teaching period |
---|---|
A | Spring Term 2022-23 |
To develop further the theoretical understanding and mathematical techniques necessary for analysing fluid flows.
At the end of the module you should be able to:
Analyse and understand different flow regimes
Understand theories underlying fluid flow dynamics
Syllabus
Two dimensional inviscid flows and the complex variables formalism.
Very viscous (Stokes) flows: basic equations and boundary conditions. Reversibility.
The Stokes drag for a sphere and its generalisations to bodies of complex shapes.
Thin film flows.
Academic and graduate skills
Academic skills: The skills taught are used in many areas of applied mathematics and mathematical physics and are essential for modern applications of fluid dynamics.
Graduate skills: students will develop their ability to assimilate, process and engage with new material quickly and efficiently. They will develop problem-solving skills and learn to analyse critically different approaches.
Task | Length | % of module mark |
---|---|---|
Closed/in-person Exam (Centrally scheduled) Classical & Biological Fluid Dynamics |
2 hours | 100 |
None
Task | Length | % of module mark |
---|---|---|
Closed/in-person Exam (Centrally scheduled) Classical & Biological Fluid Dynamics |
2 hours | 100 |
Current Department policy on feedback is available in the undergraduate student handbook. Coursework and examinations will be marked and returned in accordance with this policy.
D J Acheson. Elementary Fluid Dynamics, OUP.
L. M. Milne-Thompson, Theoretical Hydrodynamics, Dover.
G K Batchelor, An Introduction to Fluid Dynamics, Cambridge University Press.
L D Landau and E M Lifshitz, Fluid Mechanics, Butterworth-Heinemann.
S. Childress, Mechanics of swimming and flying, Cambridge Studies in Mathematical Biology (2), C.U.P., 1981.