Archimedes Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

Archimedes number, abbreviated as Ar, is a dimensionless number that 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

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

Where:

\(\large{ Ar }\) = 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