Kinetic theory for granular flow of dense, slightly inelastic, slightly rough spheres

DOI10.1017/S0022112091000599zbMath0729.76600MaRDI QIDQ3354290

C. K. K. Lun

Publication date: 1991

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Mathematics Subject Classification ID

Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)

Related Items (28)

Boundary conditions at a rigid wall for rough granular gases ⋮ Particle–particle drag force in inertial bidisperse gas–particle suspensions ⋮ Experimental evidence of the kinematic Cosserat effect in dense granular flows ⋮ Dense inclined flows of inelastic spheres ⋮ Average balance equations for granular materials ⋮ Granular gas of inelastic and rough Maxwell particles ⋮ Mechanics of collisional motion of granular materials. Part 1. General hydrodynamic equations ⋮ Extended kinetic theory applied to dense, granular, simple shear flows ⋮ Experimental study of two-dimensional, monodisperse, frictional-collisional granular flows down an inclined chute ⋮ Kinematics and statistics of dense, slow granular flow through vertical channels ⋮ Mechanics of collisional motion of granular materials. Part 4. Expansion wave ⋮ Scales and kinetics of granular flows ⋮ Kinetic theory for identical, frictional, nearly elastic disks ⋮ Scale dependence, correlations, and fluctuations of stresses in rapid granular flows ⋮ Computationally generated constitutive models for particle phase rheology in gas-fluidized suspensions ⋮ Constitutive relations for rapid granular flow of smooth spheres: Generalized rational approximation to the sum of the Chapman-Enskog expansion ⋮ Model of sheared granular material and application to surface-driven granular flows under gravity ⋮ Velocity distribution function and correlations in a granular Poiseuille flow ⋮ Classical and Cosserat plasticity and viscoplasticity models for slow granular flow ⋮ Lattice-BGK approach to simulating granular flows ⋮ Couette flow with a bidisperse particle mixture ⋮ Granular dynamics of inelastic spheres in Couette flow ⋮ A Roe-average algorithm for a granular-gas model with non-conservative terms ⋮ Extended kinetic theory for granular flow over and within an inclined erodible bed ⋮ A molecular dynamical study of granular fluids. I: The unforced granular gas in two dimensions ⋮ Partial regularisation of the incompressible 𝜇(I)-rheology for granular flow ⋮ Effect of base topography on dynamics and transition in a dense granular flow ⋮ New Mathematical Models for Particle Flow Dynamics

Cites Work

• A kinetic model for rapid flows of granular materials
• Constitutive relations for a planar, simple shear flow of rough disks
• A simple kinetic theory for granular flow of binary mixtures of smooth, inelastic, spherical particles
• On the equations of fully fluidized granular materials
• The effects of an impact velocity dependent coefficient of restitution on stresses developed by sheared granular materials
• Grad's 13-moment system for a dense gas of inelastic spheres
• Kinetic theories for granular flow: inelastic particles in Couette flow and slightly inelastic particles in a general flowfield
• Grain flow as a fluid-mechanical phenomenon
• The Source of Second Moment in Dilute Granular Flows of Highly Inelastic Spheres
• A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles
• Kinetic theory for plane flows of a dense gas of identical, rough, inelastic, circular disks
• The stress tensor in a two-dimensional granular shear flow
• The stress tensor in a granular flow at high shear rates

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