A cylinder of given length/diameter ratio is kept in steady rotation of N rpm in a uniform stream with a fluid velocity V. The power P required to maintain the motion depends on the fluid density p,...

A cylinder of given length/diameter ratio is kept in steady rotation of N rpm in a uniform stream with a fluid velocity V. The power P required to maintain the motion depends on the fluid density p, kinematic viscosity of the fluid JI, diameter of the cylinder D, and V and N Using dimensional analysis, derive the following relation:

where
 is an arbitrary function.