MT4261: Viscous Fluid Flow

This course is concerned with the mathematical theory of viscous fluid flows. Fluid mechanics is one of the major areas for the application of mathematics and has obvious practical applications in many important disciplines (aeronautics, meteorology, geophysical fluid mechanics, biofluid mechanics, and many others). Using a general continuum mechanical approach, we will first derive the governing equations (the famous Navier-Stokes equations) from first principles. We will then apply these equations to a variety of practical problems and examine appropriate simplifications and solution strategies. For an overview of the course see the official syllabus.

Many members of staff in the department have research interests in fluid mechanics and this course will lay the foundations for possible future postgraduate work in this discipline.

Vortex shedding caused by the flow past a flat plate (snapshot 1)

[Vortex shedding 1]

This course is currently taught by Dr. Matthias Heil. This page provides online access to the lecture notes, example sheets and other handouts and announcements.

Please note that the lecture notes only summarize the main results and will generally be handed out after the material has been covered in the lecture.

If you have any questions about the lecture, please see me in my office (18.07), contact me by email ( or catch me after the lecture.

Vortex shedding caused by the flow past a flat plate (snapshot 2)

[Vortex shedding 2]


The course will be examined in a two hour exam in January. Coursework (you will be expected to hand in homework on a regular basis) will account for 15% of the final mark.


Please hand in your coursework by Thursday 12 noon in the week following the examples class in which the sheet was covered. Please place your solutions into the folder in my pigeonhole in the Maths general office on the 4th floor. I will return the marked homework (with solutions) in the following week (or so....).


Please note a few corrections for previous handouts (the files above have already been corrected).

Page last modified: December 10, 1999

Back to Matthias Heil's home page..