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An 'Archimedes number' (not to be confused with Archimedes' 'constant', π), named after the ancient Greek scientist Archimedes, to determine the motion of fluids due to density differences, is a dimensionless number in the form:
:$\{$
m Ar} = rac{g L^3
ho_ell (
ho -
ho_ell)}{mu^2}
where:

★ ''g'' = gravitational acceleration (9.81 m/s²),

★ ρ_''l'' = density of the fluid, $kg/m^3$

★ ρ = density of the body, $kg/m^3$

★ μ = dynamic viscosity, $kg/sm$

★ L = characteristic length of body, m

Contents

See also

See also

★ Fluid dynamics