Bagnold number

Bagnold number

The Bagnold number, named after Ralph Alger Bagnold, used in granular flow calculations, is defined by

: Ba=frac{mD^2gamma}{2gamma_emu}

where m is the mass, D is the grain diameter, gamma is the surface tension and mu is the interstitial fluid viscosity.

Bagnold conducted experiments with 1 mm wax spheres suspended in a glycerin-water-alcohol mixture were sheared in a coaxial cylinder rheometer. The rheometer was cleverly designed to measure both the shear and normal forces applied to the walls. He identified two distinct flow regimes: the macroviscous and the grain inertia. These regimes can be distinguished using a quantity that is now referred to as the Bagnold number.

External links

* [http://microgravity.grc.nasa.gov/fcarchive/fluids/papers/Hunt/Granular_Material_Flows.htm Granular Material Flows at N.A.S.A]


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