Two-Step Discontinuous Shear Thickening of Dilute Inertial Suspensions Having Soft-Core Potential

Abstract

Kinetic theory for dilute inertial suspension having soft-core potential is theoretically investigated. From the analysis of the scattering process, the expression of the scattering angle is analytically obtained. We derive the flow curve between the viscosity and the shear rate, which shows two-step discontinuous shear thickening when we change the softness of the particles. The molecular dynamics simulation shows that our theoretical results are consistent with the numerical ones.

11 pages, 7 figures. Some typos are modified, and an addendum is added

References in corpus (3)

• The glass transition of dense fluids of hard and compressible spheres
• Velocity Distribution of a Homogeneously Cooling Granular Gas
• Thinning or thickening? Multiple rheological regimes in dense suspensions of soft particles

Cited by in corpus (6)

• Mpemba effect in inertial suspensions
• Enskog kinetic theory of rheology for a moderately dense inertial suspension
• Rheology of a dilute binary mixture of inertial suspension under simple shear flow
• Kinetic theory of discontinuous shear thickening of a moderately dense inertial suspension of frictionless soft particles
• Impact of Softness of Particles on Rheology of Dilute Granular Gases
• Discontinuous change of viscosity in a sheared granular gas with velocity-dependent restitution