Power number

For Newton number, see also Kissing number in the sphere packing problem.

The power number N_p (also known as Newton number) is a commonly used dimensionless number relating the resistance force to the inertia force.

The power-number has different specifications according to the field of application. E.g., for stirrers the power number is defined as:^[1]

N_{\mathrm {p} }={\frac {P}{\rho n^{3}D^{5}}}

with

P: power
ρ: fluid density
n: rotational speed in revolutions per second
D: diameter of stirrer

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^ Seinfeld, John H (1991). Wei, J; Anderson, J L; Bischoff, K B (eds.). Advances in Chemical Engineering. Academic Press. p. 44. ISBN 978-0-08-056564-4.

Dimensionless numbers in fluid mechanics

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