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Archimedes Number Calculator

Fluids Flow Design and Engineering 

Archimedes Number Equation and Calculator

In viscous fluid dynamics, the Archimedes number (Ar), is a dimensionless number used to determine the motion of fluids due to density differences.

Eq. 1

Ar = [ g L3 ρ1 (ρ - ρl ) ] / µ2


g = Local External Field (For Example Gravitational Acceleration) (m/s2)
ρ1 = Density of the Fluid (kg/m3)
ρ = Density of the Body (kg/m3)
µ = Dynamic Viscosity (kg/(s-m))
L = Characteristic Length of Body (m)
Ar: Archimedes Number (dimensionless)