Module Information
Course Delivery
| Delivery Type | Delivery length / details |
|---|---|
| Lecture | 16 Hours. (16 x 1 hour lectures) |
| Seminars / Tutorials | 4 Hours. (4 x 1 hour example classes) |
Assessment
| Assessment Type | Assessment length / details | Proportion |
|---|---|---|
| Semester Assessment | coursework | 100% |
| Supplementary Assessment | coursework | 100% |
Learning Outcomes
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.
Brief 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.
Reading List
Recommended TextH. A. Barnes, J. Hutton and K. Walters (1989) An introduction to rheology Elsevier Primo search M. J. Crochet, A. R. Davies and K. Walters (1984) Numerical simulation of non-Newtonian Flow Elsevier Primo search R. G. Owens and T. N. Phillips (2002) Computational Rheology Imperial College Press Primo search
Notes
This module is at CQFW Level 7