Consider the case in which 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. Note that the streamlines are circles and that V on each streamline is in the tangential direction. It is known that 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.
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