Rheology of dilute cohesive granular gases
arXiv:1705.09002 · doi:10.1103/PhysRevE.97.042902
Abstract
Rheology of a dilute cohesive granular gas is theoretically and numerically studied. The flow curve between the shear viscosity and the shear rate is derived from the inelastic Boltzmann equation for particles having square-well potentials in a simple shear flow. It is found that (i) the stable uniformly sheared state only exists above a critical shear rate and (ii) the viscosity in the uniformly sheared flow is almost identical to that for uniformly sheared flow of hard core granular particles. Below the critical shear rate, clusters grow with time, in which the viscosity can be approximated by that for the hard-core fluids if we replace the diameter of the particle by the mean diameter of clusters.
14 pages, 16 figures
References in corpus (12)
- Wet Granular Materials
- Unified Theory of Inertial Granular Flows and Non-Brownian Suspensions
- Inherent Rheology of a Granular Fluid in Uniform Shear Flow
- Transport properties of dense dissipitive hard-sphere fluids for arbitrary energy loss models
- Kinetic theory of shear thickening for a moderately dense gas-solid suspension: from discontinuous thickening to continuous thickening
- Non-Newtonian hydrodynamics for a dilute granular suspension under uniform shear flow
- Divergence of Viscosity in Jammed Granular Materials: A Theoretical Approach
- Unified rheology of vibro-fluidized dry granular media: From slow dense flows to fast gas-like regimes
- Athermal rheology of weakly attractive soft particles
- Kinetic theory for dilute cohesive granular gases with a square well potential
- Hydrodynamic instabilities in shear flows of cohesive granular particles
- Kinetic theory of discontinuous shear thickening
Cited by in corpus (8)
- Two-Step Discontinuous Shear Thickening of Dilute Inertial Suspensions Having Soft-Core Potential
- Fine-Tuning of Colloidal Polymer Crystals by Molecular Simulation
- Rheology of cohesive granular particles under constant pressure
- Rheology of dilute granular gas mixtures where the grains interact via a square shoulder and well potential
- Kinetic theory of discontinuous shear thickening of a moderately dense inertial suspension of frictionless soft particles
- Kinetic theory of discontinuous shear thickening for a dilute gas-solid suspension
- Discontinuous change of viscosity in a sheared granular gas with velocity-dependent restitution
- Impact of Softness of Particles on Rheology of Dilute Granular Gases