Module manager: Cedric Beaume
Email: C.M.L.Beaume@leeds.ac.uk
Taught: Semester 2 (Jan to Jun) View Timetable
Year running 2026/27
None
MATH2625 Fluid Dynamics I MATH3620 Fluid Dynamics II
This module is not approved as a discovery module
Fluid dynamics is the science that describes the motion of materials that flow. It underpins an enormous range of applications, from engineering and astrophysics to biology and environmental science, including climate modelling. This module demonstrates how to apply mathematical tools, including vector calculus and differential equations, to visualise, analyse and solve a range of flow problems.
This module will set out the fundamental concepts of fluid dynamics, for both inviscid and viscous flows. It includes a formal mathematical description of fluid flows and the derivation of the governing equations. Solutions of the governing equations will be derived for a range of simple flows, providing the student with intuition about how fluids behave, and experience in modelling practical flow problems.
On successful completion of the module students will be able to: 1. Derive the equations that describe fluid flows. 2. Understand the physical and mathematical significance of each term in the equations and the Reynolds number. 3. Formulate mathematical models of fluid flows in various situations. 4. Solve simple problems for inviscid and viscous flows. 5. Describe physical mechanisms giving rise to some well-known phenomena involving fluid motion.
1. Modelling fluids: Streamlines and particle paths; Navier Stokes equation; Reynold’s number. 2. Inviscid fluid dynamics: Euler’s equation; Hydrostatics; Bernoulli’s principle. 3. Slow viscous flows: Stokes equation and applications; Lubrication theory. 4. Irrotational flows: Complex potential; Lift on an aerofoil 5. Boundary layer flows: Vorticity dynamics; High Reynold’s number flows 6. Waves: Gravity waves; capillary waves. Additional topics that build on these may be covered as time allows.
| Delivery type | Number | Length hours | Student hours |
|---|---|---|---|
| Lecture | 44 | 1 | 44 |
| Private study hours | 156 | ||
| Total Contact hours | 44 | ||
| Total hours (100hr per 10 credits) | 200 | ||
Each module chapter will conclude with an example sheet. The student will be encouraged to consider the problems independently, or with their peers. At least one lecture session per chapter will be dedicated to a discussion about the example sheet, where tailored explanations and model solutions will be provided by the lecturer. During these sessions, students will have the opportunity to check their own workings as well as gain verbal feedback from the lecturer.
Check the module area in Minerva for your reading list
Last updated: 30/04/2026
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