# Taylor number

From AMS Glossary

## Taylor number

A nondimensional number arising in problems of a rotating viscous fluid.

It may be written where

*f*is the Coriolis parameter (or, for a cylindrical system, twice the rate of rotation of the system),*h*is representative of the depth of the fluid, and ν is the kinematic viscosity. The square root of the Taylor number is a rotating Reynolds number, and the fourth root is proportional to the ratio of the depth*h*to the depth of the Ekman layer.