Bio Fluid Mechanics (MTR003)
This is a taught course aimed at PhD students, although it also serves
as background for a Masters course. It consists of 20 lectures in the Easter term.
The lectures take place at 2.00 and 3.00 on Tuesdays,
starting 19th January. There will be a 10minute interval at roughly
The course is
simultaneously viewable at Imperial College London, Bath, Bristol, Warwick and
Oxford, due to the wonders of technology.
The lectures will be given in room 6M42 in the Huxley building at
For details of other TCC courses see the
Taught Course Centre website
This page is under development and will change as the course progresses.
I shall try to put suitable material for each lecture on the site at
least 30mins before each lecture.
Click on the topics below to view or print files of the course material.
If you are
unable to access any of the files mail me.
Topics to be covered
Haemodynamics: Blood flow in the macrocirculation
Animal locomotion: swimming and flying; low and high Reynolds
Bioconvection: swimming microorganisms can lead to unstable density
stratifications and resultant convection.
Typical exam questions and Examples Class
As discussed, here is a sheet of possible
exam-level questions on the course.
A problems class will be held on Friday 13 May in room 658, starting at
11. Anything pertinent to the course can be discussed - let me know if there's
any specific thing you wish me to prepare. JM
See also the directory of supplementary material Pictures.
- Lecture 1: Overview of course: swimming, flying,
bioconvection, blood flow. See the files in
- Lecture 2:
Motion through fluids at high and low Reynolds numbers.
Ths scallop theorem.
- Lecture 3
Tues Jan 25 2.00 Low Reynolds number swimming I. Resistive force theory,
- Lecture 4
Tues Jan 25 3.00
Low Reynolds number swimming II. Motion of a wavy flagellum.
See this animation Introduction to Ciliar
- Lectures 5,6
Tues Feb 1: Swimming of a flexible sheet
- Lectures 7,8
Tues Feb 8: Small amplitude swimming of slender fish
- Lectures 9,10
Tues Feb 15: The bird and the bees - flying. (We probably won't cover
all this material today.)
- Lectures 11-12: Tues Feb 22. We will
conclude last week's discussion on insect flight and then
begin Bioconvection - large scale motions
caused by swimming microorganisms. Without gyrotaxis.
Lecture 13 Bioconvection with
- Lecture 14 (seminar style) Pulsatile flow
in a straight artery,
- Lecture 15
Tues March 8th. Blood flow: Pulse propagation in arteries. 1-D
- Lecture 16 Tues March 8th Introduction to
flow in curved arteries -
derivation of the Dean equations
- Lecture 17 Tues March 15th Solution od the
- Lecture 18 (Seminar style)
Non-planar curvature; effects of
scale and size. We first model flow in a three-dimensionally curved
artery as a poriton of a helix.
- The last lecture, planned for March 22nd, will not take place,
owing to industrial action by UCU. It is also outside of term in some
of the TCC institutions. An examples class, also planned for that day,
will be postponed to a mutually convenient occasion. If you have not
received an e-mail about this but wish to attend such a class, please
get in touch with me.
I hope you have enjoyed the course. Jonathan Mestel