Overall theme: fluids with an extra stress due to (small) embedded particles, polymer molecules etc, with connections to kinetic theory and MHD

Evolving lecture notes (last updated 7

This year (HT18) Complex and non-Newtonian Fluids will be lectured

The

• Low Reynolds number hydrodynamics, general mathematical results, flow past a sphere. Stresses due to suspended rigid particles. Calculation of the Einstein viscosity for a dilute suspension.

• Stresses due to Hookean bead-spring dumb-bells. Derivation of the upper convected Maxwell model for a viscoelastic fluid. Properties of such fluids.

• Suspensions of orientable particles, Jeffery's equation, very brief introduction to active suspensions and liquid crystals.

Rheological Behaviour of Fluids (MIT
TechTV, YouTube,
Film Notes)

Low Reynolds Number Flow (
MIT
TechTV, YouTube,
Film Notes)

Find the complete set of films by the
(US) National Committee for Fluid Mechanics
Films here.

Chapters 1, 2, 3.1, 3.2, 7.1

M. Renardy (2000)

Chapters 1–3. Read this SIAM book online for free in Oxford.

P. Oswald (2009)

Sections 1.5, 3.7, 7.5.1, appendices 7.A and 7.C.

S. Kim & S. J. Karrila (1991, 2005)

Chapter 2, section 2.5, especially example 2.1 on effective stresses in suspensions of rigid particles, section 3.5 on Faxen relations, sections 5.5 & 5.6 on dilute suspensions of spheroids.

N. Phan-Thien (2015)

Concise introduction to suspensions of spheres and spheroids.