The Bagnold number is a crucial dimensionless parameter quantifying the ratio of solid-particle stress to fluid viscous stress, vital for understanding granular flow and sediment transport. Our easy-to-use calculator helps you accurately determine this value, essential for research in geology, engineering, and fluid dynamics, enabling precise analysis of fluid-solid interactions.
Formula:
The Bagnold Number (Ba) is calculated using the formula:
Ba = (ρs λ1/2 D dU/dy) / μ
Where:
- Ba: Bagnold Number (dimensionless)
- ρs: Density of solid particles (kg/m3)
- λ: Linear concentration (dimensionless, typically between 0.1 and 0.6)
- D: Characteristic particle diameter (m)
- dU/dy: Shear rate (1/s)
- μ: Fluid dynamic viscosity (Pa·s or kg/(m·s))