Archimedes number

Input(s)

g: Local External Field (For Example Gravitational Acceleration) (m/s2\left(\mathrm{m} / \mathrm{s}^{2}\right. )

ρl\rho \mathrm{l}: Density of the Fluid (kg/m3)\left(\mathrm{kg} / \mathrm{m}^{3}\right)

ρ\rho: Density of the Body (kg/m3)\left(\mathrm{kg} / \mathrm{m}^{3}\right)

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

L: Characteristic Length of Body (m)

Output(s)

Ar: Archimedes Number (dimensionless)

Formula(s)

Ar=gL3ρl(ρρl)μ2A r=\frac{g * L^{3} * \rho_{l} *\left(\rho-\rho_{l}\right)}{\mu^{2}}

Reference(s)

Wikipedia.org.


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