Taylor Number

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