A fluid of density ρ circulates around a central point such that the velocity, V , at any distance r from the central point is given by where C is a constant. The pressure is equal to p0 at a distance...

A fluid of density ρ circulates around a central point such that the velocity, V , at any distance r from the central point is given by

where C is a constant. The pressure is equal to p0 at a distance r0 from the central point. Determine an expression for the pressure distribution in any horizontal plane in terms of r, where C, p0, r0 are parameters of the pressure distribution.