|| MAM0120 |
|| COMPLEX FLUIDS: MATHEMATICAL MODELLING |
|| 2006/2007 |
|| Dr David M Binding |
|| Semester 1 |
|| Professor Russell Davies |
| Course delivery
|| Lecture || 16 Hours. (16 x 1 hour lectures) |
|| Seminars / Tutorials || 4 Hours. (4 x 1 hour example classes) |
|Assessment Type||Assessment Length/Details||Proportion|
|Semester Assessment|| coursework ||100%|
|Supplementary Assessment|| coursework ||100%|
On completion of this module, students should be able to:
1. Model simple viscoelastic materials.
2. Discuss the predictive capabilities of a range of constitutive models.
3. Derive rheometrical functions for simple flows.
4. Discuss suitability of models for a range of complex flow situations.
5. Describe the dynamics of polymer solutions and melts using coarse-grained kinetic theory models.
This module provides a brief introduction to the traditional modelling of complex fluids using constitutive equations of Maxwell/Oldroyd type. Contemporary constitutive theories based on FENE-type kinetic theory models will be introduced in the context of micro-macro modelling of complex fluids. The dynamics of polymer melts will be described using reptation and pom-pom models. The mathematical equivalence between Fokker-Planck equations and stochastic differential equations will be explained as well as the relevance of this result for numerical simulations.
This module will provide an introduction to the mathematical modelling of complex fluids using both traditional models based on differential and integral constitutive relationships and contemporary models based on kinetic theory.
** Recommended Text
H. A. Barnes, J. Hutton and K. Walters (1989) An introduction to rheology
M. J. Crochet, A. R. Davies and K. Walters (1984) Numerical simulation of non-Newtonian Flow
R. G. Owens and T. N. Phillips (2002) Computational Rheology
Imperial College Press 1860941869
This module is at CQFW Level 7