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.

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