Taylor number

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For the flow between two concentric cylinders with radii $R_1$ and $R_2$ , rotating at $\Omega_1$ and $\Omega_2$ , the Taylor number is defined as,

$Ta = \frac{\mbox{Centrifugal Force}}{\mbox{Viscous Force}} = 4 \left( \frac{\Omega_1 R_1^2 - \Omega_2 R_2^2}{R_2^2 - R_1^2}\right) \; \frac{\Omega_1 d^4}{\nu}$

where $d =$ gap width between the cylinders and $\nu =$ the dynamic viscosity.

Taylor number

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