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:

$\{\backslash rm\; Ar\}\; =\; \backslash frac\{g\; L^3\; \backslash rho\_\backslash ell\; (\backslash rho\; -\; \backslash rho\_\backslash ell)\}\{\backslash mu^2\}$

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

See also

• Fluid dynamics

Dimensionless numbers | Fluid dynamics

Archimedes-Zahl | Vikipedio:Projekto matematiko/Arkimeda nombro | Nombre d'Archimède | Numero di Archimede | Getal van Archimedes | Liczba Archimedesa