Courtin number

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The Courtin rotational parameter is a dimensionless number used in rotational flow calculations. It expresses the relationship between the torque and angular velocity of a rotating flow. Its main application is in problems involving one cylinder rotating inside another separated by viscous incompressible fluids.

It is defined as:


 C = \frac{\tau} {{\omega^2}{D_i^5}{\rho}}

where

  • τ is the torque;
  • ω is the rotational velocity;
  • Di is the diameter.