Taylor Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

Tayor number, abbreviated as Ta, a dimensionless number, is the quantity that characterizes the importance of centrifugal forces due to the rotation of a fluid about an axis, relative to viscous forces.

Taylor Number Formula

$$\large{ Ta = \frac{ 4 \; \Omega^2 \; r^4 }{ \nu^2 } }$$

Where:

$$\large{ Ta }$$ = Taylor number

$$\large{ \Omega }$$  (Greek symbol Omega) = characteristic angular velocity

$$\large{ r }$$ = characteristic linear dimension perpendicular to the rotation axis

$$\large{ \nu }$$  (Greek symbol nu) = kinematic viscosity

Tags: Equations for Fluid