Archimedes number

Input(s)

g: Local External Field (For Example Gravitational Acceleration) $\left(\mathrm{m} / \mathrm{s}^{2}\right.$ )

$\rho \mathrm{l}$: Density of the Fluid $\left(\mathrm{kg} / \mathrm{m}^{3}\right)$

$\rho$: Density of the Body $\left(\mathrm{kg} / \mathrm{m}^{3}\right)$

$\boldsymbol{\mu}$: Dynamic Viscosity $\left(\mathrm{kg} /\left(\mathrm{s}^{*} \mathrm{~m}\right)\right)$

L: Characteristic Length of Body (m)

Output(s)

Ar: Archimedes Number (dimensionless)

Formula(s)

$$ A r=\frac{g * L^{3} * \rho_{l} *\left(\rho-\rho_{l}\right)}{\mu^{2}} $$

Reference(s)

Wikipedia.org.