# Taylor Number

## Description

In fluid dynamics, the Taylor number (Ta) is a dimensionless quantity that characterizes the importance of centrifugal “forces” or so-called inertial forces due to rotation of a fluid about an axis, relative to viscous forces.

In 1923 Geoffrey Ingram Taylor introduced this quantity in his article on the stability of flow.

Related formulas## Variables

Ta | Taylor number (dimensionless) |

Ω | characteristic angular velocity (1/s) |

R | characteristic linear dimension perpendicular to the rotation axis (m) |

v | kinematic viscosity (m^{2}/s) |