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Bagnold number : ウィキペディア英語版
Bagnold number
The Bagnold number (Ba) is the ratio of grain collision stresses to viscous fluid stresses in a granular flow with interstitial Newtonian fluid, first identified by Ralph Alger Bagnold.
The Bagnold number is defined by
: \mathrm=\frac,
where \rho is the particle density, d is the grain diameter, \dot is the shear rate and \mu is the dynamic viscosity of the interstitial fluid. The parameter \lambda is known as the linear concentration, and is given by
: \lambda=\frac} - 1},
where \phi is the solids fraction and \phi_0 is the maximum possible concentration (see random close packing).
In flows with small Bagnold numbers (Ba < 40), viscous fluid stresses dominate grain collision stresses, and the flow is said to be in the 'macro-viscous' regime. Grain collision stresses dominate at large Bagnold number (Ba > 450), which is known as the 'grain-inertia' regime. A transitional regime falls between these two values.
==See also==

* Bingham plastic

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