Experiments on a gravity-free dispersion of large solid spheres in a Newtonian fluid under shear

@article{Bagnold1954ExperimentsOA,
  title={Experiments on a gravity-free dispersion of large solid spheres in a Newtonian fluid under shear},
  author={Ralph Alger Bagnold},
  journal={Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences},
  year={1954},
  volume={225},
  pages={49 - 63}
}
  • R. Bagnold
  • Published 6 August 1954
  • Geology
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
Dispersions of solid spherical grains of diameter D = 0.13cm were sheared in Newtonian fluids of varying viscosity (water and a glycerine-water-alcohol mixture) in the annular space between two concentric drums. The density σ of the grains was balanced against the density ρ of the fluid, giving a condition of no differential forces due to radial acceleration. The volume concentration C of the grains was varied between 62 and 13 %. A substantial radial dispersive pressure was found to be exerted… 
Observations of rapidly flowing granular-fluid materials
The rapid shearing of a mixture of cohesionless glass spheres and air or water was studied in an annular, parallel-plate shear cell designed after Savage (1978). Two types of flow were observed. In
The stress tensor in a granular flow at high shear rates
The stress tensor in a granular shear flow is calculated by supposing that binary collisions between the particles comprising the granular mass are responsible for most of the momentum transport. We
On velocity profiles and stresses in sheared and vibrated granular systems under variable gravity
We employ discrete element three-dimensional simulations that include realistic modeling of physical system boundaries to determine the influence of gravity on velocity profiles and stresses for
Shear stresses developed during rapid shear of concentrated suspensions of large spherical particles between concentric cylinders
Experiments were performed on concentrated suspensions of large (0·97–1·78 mm mean diameters) neutrally buoyant spherical particles sheared in a concentric-cylinder Couette-flow apparatus in which
Instability of a bed of particles sheared by a viscous flow
The instability of a bed of particles sheared by a viscous fluid is investigated theoretically. The viscous flow over the wavy bed is first calculated, and the bed shear stress is derived. The
Microscopic origins of shear stress in dense fluid–grain mixtures
A numerical model is used to simulate rheometer experiments at constant normal stress on dense suspensions of spheres. The complete model includes sphere–sphere contacts using a soft contact
Merging fluid and solid granular behavior.
TLDR
By exploiting the diverging behavior of the scaling laws at the jamming density, continuous and differentiable phenomenological constitutive relations for stresses and granular temperature as functions of the volume fraction, shear rate, particle stiffness and distance from jamming are arrived at.
Momentum balance and stresses in a suspension of spherical particles in a plane Couette flow
Non-Brownian suspension of monodisperse spherical particles, with volume fractions ranging between ϕ = 0.05 and 0.38 and particle Reynolds numbers ranging between Rep = 0.002 and 20, in plane Couette
...
...