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# Bagnold Number Calculator

The ratio of the stresses between the grain collision to the viscous fluid in a granular flow is the Bagnold number. The given below is the Bagnold Number calculator for you to calculate the Bagnold Number. Enter the grain diameter, particle density, linear concentration, shear rate, and dynamic viscosity of the interstitial fluid in this Bagnold Number calculator to get the result. The shear rate is the rate of change of velocity at which the liquid in one layer flows to the adjacent layer.

length
kg/m3
s-1
kg/ms

The ratio of the stresses between the grain collision to the viscous fluid in a granular flow is the Bagnold number. The given below is the Bagnold Number calculator for you to calculate the Bagnold Number. Enter the grain diameter, particle density, linear concentration, shear rate, and dynamic viscosity of the interstitial fluid in this Bagnold Number calculator to get the result. The shear rate is the rate of change of velocity at which the liquid in one layer flows to the adjacent layer.

#### Formula:

Bagnold Number (Ba) = (ρ × d2 × λ1/2 × γ) / μ Where, ρ = Particle Density d = Grain Diameter λ = Linear Concentration γ = Shear Rate μ = Dynamic Viscosity of the Interstitial Fluid

### Example:

Find the Bagnold Number, where the diameter of the grain is measured as 2 cm, the particle density is 40 kg/m3, linear concentration is 5, the shear rate is 8 s-1, dynamic viscosity 10 kg/ms.

#### Solution:

Ba = (40 x 22 x 51/2 x 8 ) / 10
= 0.0286