On the constitutive relations for dispersed particles in nonuniform flows. I: Dispersion in a simple shear flow

DOI10.1063/1.858658zbMath0803.76008OpenAlexW2043132600MaRDI QIDQ4202858

M. W. Reeks

Publication date: 13 December 1994

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.858658

zbMATH Keywords

Boussinesq approximationkinetic equationReynolds stresseshomogeneous componentinterphase momentum transferdeviatoric componentmean shear gradient

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Shear flows and turbulence (76F10) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)

Related Items (19)

Statistical model of particle motion and dispersion in an anisotropic turbulent flow ⋮ Moment closure approximations of the Boltzmann equation based on \(\varphi \)-divergences ⋮ Eulerian Multi-Fluid Models for Polydisperse Evaporating Sprays ⋮ Particle deposition from a turbulent flow. I. A steady-state model for high inertia particles ⋮ Exact analytic solutions to turbulent particle flow equations ⋮ A statistical model of particle transport and heat transfer in turbulent shear flows ⋮ On the probability density function model for the transport of particles in anisotropic turbulent flow ⋮ Nonequilibrium Reynolds stress for the dispersed phase of solid particles in turbulent flows ⋮ An entropy stable discontinuous Galerkin finite-element moment method for the Boltzmann equation ⋮ Particle dynamics in a turbulent particle–gas suspension at high Stokes number. Part 1. Velocity and acceleration distributions ⋮ The pdf approach to turbulent polydispersed two-phase flows ⋮ Large-eddy simulation of particle-laden turbulent flows ⋮ Large eddy simulation of particle-laden turbulent channel flow ⋮ Comparison of two-way coupling models for confined turbulent gas-particle jets in flash smelting ⋮ The effect of Reynolds number on inertial particle dynamics in isotropic turbulence. Part 2. Simulations with gravitational effects ⋮ Error estimation and adaptive moment hierarchies for goal-oriented approximations of the Boltzmann equation ⋮ Modelling of the motion of particles in non-uniform turbulent flow using the equation for the probability density function ⋮ A modal discontinuous Galerkin method for simulating dusty and granular gas flows in thermal non-equilibrium in the Eulerian framework ⋮ Modeling the dynamics of colliding particles in a turbulent shear flow

Cites Work

• Optical studies on the turbulent motion of solid particles in a pipe flow
• Kinetic theory for a monodisperse gas–solid suspension
• The relationship between Brownian motion and the random motion of small particles in a turbulent flow
• A new theory of the instability of a uniform fluidized bed
• Eulerian direct interaction applied to the statistical motion of particles in a turbulent fluid
• Motions of small particles in a turbulent simple shear flow field under microgravity condition
• On the continuum equations for dispersed particles in nonuniform flows
• On the dispersion of small particles suspended in an isotropic turbulent fluid
• Turbulent shear flows of variable density.

This page was built for publication: On the constitutive relations for dispersed particles in nonuniform flows. I: Dispersion in a simple shear flow