Formula 5.138

Taylor number

Input(s)

$\omega$: Characteristic angular velocity $(\mathrm{rad} / \mathrm{s})$

$\mathrm{R}$: Characteristic linear dimension perpendicular to the rotation axis (m)

v: Kinematic viscosity (Pas s)

Output(s)

Ta: Taylor number (dimensionless)

Formula(s)

$$ \mathrm{Ta}=4 * \omega^{2} * \frac{\mathrm{R}^{4}}{\mathrm{v}^{2}} $$

Reference(s)

Wikipedia.org.