Liquid migration in shear thickening suspensions flowing through constrictions

Abstract

Dense particulate suspensions often become more dilute as they move downstream through a constriction. We find that as a shear-thickening suspension is extruded through a narrow die and undergoes such liquid migration, the extrudate maintains a steady concentration ${\varphi }_c$, independent of time or initial concentration. This concentration ${\varphi }_c$ varies with volumetric flow rate $Q$ and die radius $r_{\mathrm{d}}$, but at low $Q$ collapses onto a universal function of $Q/r_{\mathrm{d}}^3$, a characteristic shear rate in the die. We explain quantitatively the onset of liquid migration in extrusion by coupling a recent model for discontinuous shear thickening and the `suspension balance model' for solvent permeation through particles.

arXiv comment5 pages, 5 figures

References in corpus (18)

• Discontinuous Shear Thickening of Frictional Hard-Sphere Suspensions
• Shear thickening, frictionless and frictional rheologies in non-Brownian suspensions
• Discontinuous shear thickening without inertia in dense non-Brownian suspensions
• Shear thickening of cornstarch suspensions as a re-entrant jamming transition
• A unified description of the rheology of hard-particle suspensions
• A constitutive model for simple shear of dense frictional suspensions
• Shear thickening and migration in granular suspensions
• Jamming, two-fluid behaviour and 'self-filtration' in concentrated particulate suspensions
• Fraction of clogging configurations sampled by granular hopper flow
• Macroscopic Discontinuous Shear Thickening vs Local Shear Jamming in Cornstarch
• Unsteady flow and particle migration in dense, non-Brownian suspensions
• Shear zones and wall slip in the capillary flow of concentrated colloidal suspensions
• Non-monotonic flow curves of shear thickening suspensions
• A constraint-based approach to granular dispersion rheology
• S-Shaped Flow Curves of Shear Thickening Suspensions: Direct Observation of Frictional Rheology
• Conching chocolate: A prototypical transition from frictionally jammed solid to flowable suspension with maximal solid content
• Rheology of dense granular suspensions under extensional flow
• Microstructure and thickening of dense suspensions under extensional and shear flows

Cited by in corpus (3)

• Structure of propagating high stress fronts in a shear thickening suspension
• Shear-thickening in presence of adhesive contact forces: the singularity of cornstarch
• Geometric Pressure Minimisation of a Theoretical Die for Ceramic Extrusion