Archimedes Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

Archimedes number ( \(Ar\) ) (dimensionless number) analyzes flow as it relates to a system of density differences.  It is used when dealing with Gravitational settling of particles in fluid.

Archimedes Number FORMULA

\(\large{ Ar = \frac { g    l^3   \rho_f \left( \rho_b \;-\; \rho _f \right)}    {\mu^2}  }\)         


\(\large{ Ar }\) = Archimedes number

\(\large{ g }\) = gravitational acceleration 

\(\large{ l }\) = length

\(\large{ \rho_f }\) = density of the fluid

\(\large{ \rho_b }\) = density of the body flowing through the fluid

\(\large{ \mu }\) = dynamic viscosity of the fluid


Tags: Equations for Gravity