1. Unresolved experimental dilemmas Dissipative particle dynamics Theoretical challenges (NATO ASI) Constitutive relations – applications to complex flows (Euroconference) Rheology/chain structure in polymers (DSM) Dynamics of complex fluids (RS/Unilever Polymeric and self-assembled systems Particulate dispersions Viscoelasticity Viscoplasticity

2. BASIC THEMES EXPERIMENT Phenomena Techniques ANALYTICAL THEORIES Statistical Mechanics Continuum Mechanics COMPUTATION Understanding Material Innovation Engineering Design

3. SIMULATION TECHNIQUES FD, FE, FV (Finite Difference, Element, Volume) LB (Lattice-Boltzmann) BD (Brownian Dynamics) MD (Molecular Dynamics) Micro-Macro, e.g CONNFFESSIT UP-SCALING Time and Space

4. TYPES OF COMPLEX FLUID Polymer melts Polymer solutions Colloidal dispersions Particle suspensions Pastes and Gels Granular and Porous media STRUCTURE

5. Rheologically simple fluids, an early paradigm – associated REoS Low Reynolds Number in practice Instability and Rheo-chaos Thermal effects Phase separation; concentration gradients Shear banding; localisation Mechanics far from thermodynamic equilibrium

6. Can we currently carry out detailed engineering calculations for unsteady complex flow patterns for complex fluids? NO Can we hope to do so in the predictable future? PROBABLY NOT What can we do to make predictions about engineering processes? RESORT TO APPROXIMATION ON THE BASIS OF DIMENSIONLESS ANALYSIS; more simply put BE EMPIRICAL AND PHENOMENOLOGICAL