power number

The power number N_p (also known as Newton number) is a dimensionless number relating the resistance force to the inertia force. In engineering, this number, along with the Reynolds number, is one of the most widely employed dimensionless numbers. The power-number has different specifications according to the field of application. E.g., for stirrers the power number is defined as:

N_{p} = {M_{t}\over \rho n^{3} d^{5}}

with

M_t: torque
ρ: fluid density
n: rotational speed
d: diameter of stirrer

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