Modelling dense suspensions - II

This lecture examines advanced suspension modeling, focusing on the complex interplay between particle concentration, shear-induced migration, and diffusive mechanisms in both Brownian and non-Brownian systems. The speaker explores how particle interactions in concentrated suspensions lead to chaotic dynamics and non-uniform distributions, specifically demonstrating that gradients in shear rate drive particles toward regions of lower shear, thereby necessitating a continuum modeling approach that incorporates both viscous and normal stress components. Through a discussion of experimental phenomena and theoretical frameworks, the presentation concludes that accurate modeling of these non-equilibrium processes requires accounting for concentration-dependent diffusivity and the anisotropic nature of hydrodynamic interactions.