Archimedes Number
Archimedes number, abbreviated as Ar, a 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 |
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\(\large{ Ar = \frac{ g \; l^3 \; \rho_f \; \left( \rho_b \;-\; \rho _f \right)}{\mu^2} }\) | ||
Symbol | English | Metric |
\(\large{ Ar }\) = Archimedes number | \(\large{dimensionless}\) | |
\(\large{ \rho_f }\) = density of fluid | \(\large{\frac{lbm}{ft^3}}\) | \(\large{\frac{kg}{m^3}}\) |
\(\large{ \rho_b }\) = density of the body flowing through the fluid | \(\large{\frac{lbm}{ft^3}}\) | \(\large{\frac{kg}{m^3}}\) |
\(\large{ \mu }\) = dynamic viscosity of fluid | \(\large{\frac{lbf-sec}{ft^2}}\) | \(\large{ Pa-s }\) |
\(\large{ g }\) = gravitational acceleration | \(\large{\frac{ft}{sec^2}}\) | \(\large{\frac{m}{s^2}}\) |
\(\large{ l }\) = length | \(\large{in}\) | \(\large{mm}\) |
Tags: Gravity Equations