Title: Modelling Discontinuous Shear Thickening in Dense Suspensions

Author (Talk): Krishna Kaushik Yanamundra, Texas A&M University

Abstract:

A broad class of materials, including dense suspensions, surfactant solutions, and epithelial tissues, exhibit non-monotonic steady-state relations between stress and the symmetric part of the velocity gradient under simple shear, giving rise to phenomena such as discontinuous shear thickening and shear banding. In this talk, I present a hierarchy of thermodynamically consistent, causality abiding constitutive models that capture such a response through a non-convex rate of dissipation potential. We shall also examine how this non-monotonicity affects the stability of Planar and Cylindrical Couette flows.