Rheological properties of soft-glassy flows from hydro-kinetic simulations

Abstract

Based on numerical simulations of a lattice kinetic model for soft-glassy materials, we characterize the global rheology of a dense emulsion-like system, under three representative load conditions: Couette flow, time-oscillating Strain and Kolmogorov flow. It is found that in all cases the rheology is described by a Herschel-Bulkley (HB) relation, $\sigma ={\sigma }_Y+A{S}^{\beta }$, with the yield stress ${\sigma }_Y$ largely independent of the loading scenario. A proper rescaling of the HB parameters permits to describe heterogeneous flows with space-dependent stresses, based on the notion of cooperativity, as recently proposed to characterize the degree of non-locality of stress relaxation phenomena in soft-glassy materials.

6 pages, 12 Figures

References in corpus (4)

• Phenomenology and physical origin of shear-localization and shear-banding in complex fluids
• Yielding and flow in adhesive and non-adhesive concentrated emulsions
• Shear banding, aging and noise dynamics in soft glassy materials
• The emergence of supramolecular forces from lattice kinetic models of non ideal fluids: applications to the rheology of soft glassy meterials

Cited by in corpus (5)

• The role of deformability in determining the structural and mechanical properties of bubbles and emulsions
• Metastability at the Yield-Stress Transition in Soft Glasses
• Channel Flow of a Tensorial Shear-Thinning Maxwell Model: Lattice Boltzmann Simulations
• Structure and Isotropy of Lattice Pressure Tensors for Multi-range Potentials
• Mesoscopic simulation study of wall roughness effects in micro-channel flows of dense emulsions