A cylinder of radius R and length L is placed inside a slightly larger cylinder with a small gap of thickness H between them. If a fluid of density ρ and viscosity µ is placed between the two cylinders and the outer cylinder is fixed in place, find the nondimensional form of the torque T required to turn the cylinder at rotational speed ω as a function of the nondimensional rotational speed and any other needed nondimensional parameters.
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