- Department: Mathematics
- Module co-ordinator: Prof. Martin Bees
- Credit value: 10 credits
- Credit level: M
- Academic year of delivery: 2021-22
- See module specification for other years: 2022-23
Pre-requisite modules
Co-requisite modules
- None
Prohibited combinations
Prerequisite information:
Occurrence | Teaching period |
---|---|
A | Spring Term 2021-22 |
To develop further the theoretical understanding and mathematical techniques necessary for analysing fluid flows and their biological applications.
Analyse and understand different flow regimes
Understand theories underlying fluid flow dynamics
Be able to carry out exact and approximate calculations for important types of fluid flows
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.
The far-field flow approximation for bodies in very viscous flows. The Oseen tensor.
Calculate the swimming velocity of a wavy sheet and relate this to swimming by ciliates.
Use resistive force theory to analyse the swimming of bacteria and spermatozoa.
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. Students on this module will analyse two important topics of mathematical biology in addition to the material of the H-level variant of the module.
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. Students on this module will learn to work more independently than those on the H-level variant.
Task | Length | % of module mark |
---|---|---|
Online Exam -less than 24hrs (Centrally scheduled) Classical & Biological Fluid Dynamics |
2 hours | 100 |
None
Task | Length | % of module mark |
---|---|---|
Online Exam -less than 24hrs (Centrally scheduled) Classical & Biological Fluid Dynamics |
2 hours | 100 |
Current Department policy on feedback is available in the student handbook. Coursework and examinations will be marked and returned in accordance with this policy.