Instructor:
Dr. James J. Feng
Office: MATX 1206
Phone:
604-822-4936
Email: james.feng(at)ubc.ca
(Office hour by appointment; please email.)
Reference
books:
¥ R. G. Larson, The Structure and Rheology of Complex Fluids, Oxford (1999).
¥ R. B. Bird, R. C. Armstrong, O. Hassager, Dynamics of Polymeric Liquids, Vols. 1 & 2, Wiley and Sons (1987).
¥ P. G. deGennes and J. Prost, The Physics of Liquid Crystals, Clarendon (1993).
¥ D. Barthes-Biesel, Microhydrodynamics and Compex Fluids, Taylor & Francis (2012).
¥ M. Doi and S. F. Edwards, The Theory of Polymer Dynamics, Oxford (1988).
Course outline:
1.
Background and motivation
2.
Review of required mathematics
1.
Oldroyd's theory for viscoelastic fluids
2.
Ericksen-Leslie theory for liquid crystals
3.
Viscoplastic theories
1.
Dumbbell theory for polymer solutions
2.
Bead-rod-chain theories
3.
Doi-Edwards theory for entangled systems
4. Doi
theory for liquid crystalline materials
IV.
Heterogeneous/multiphase systems
1.
Suspension theories (Einstein, Batchelor, Acrivos, etc.)
2.
Kinetic theory for emulsions and drop dynamics
3.
Energetic formalism for interfacial dynamics
4.
Numerical methods for moving boundary problems
Prerequisites:
Evaluation: