MAM0120 - COMPLEX FLUIDS: MATHEMATICAL MODELLING

Module Identifier	MAM0120
Module Title	COMPLEX FLUIDS: MATHEMATICAL MODELLING
Academic Year	2001/2002
Co-ordinator	Dr R Jones
Semester	Semester 1
Other staff	Professor Arthur Davies
Course delivery	Lecture	16 x 1 hour lectures
	Seminars / Tutorials	4 x 1 hour example classes
Assessment	Supplementary examination	2 Hours	100%
	Exam	2 Hours	100%

General description

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.

Aims

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.

Learning outcomes

On completion of this module, students should be able to:

Model simple viscoelastic materials.
Discuss the predictive capabilities of a range of constitutive models.
Derive rheometrical functions for simple flows.
Discuss suitability of models for a range of complex flow situations.
Describe the dynamics of polymer solutions and melts using coarse-grained kinetic theory models.

Reading Lists

Books
** Recommended Text
H. A. Barnes, J. Hutton and K. Walters. (1989) An introduction to rheology. Elsevier 0444871403
M. J. Crochet, A. R. Davies and K. Walters. (1984) Numerical simulation of non-Newtonian Flow. Elsevier 0444422927