2.4

Apply dimensional analysis to fluid flow problems.

A ball is in a stationary condition in flowing ideal liquid, the velocity of

which is V and density p. The radius of the ball is R. Find out an

expression for dynamic pressure, P, on the ball and indicate whether

this is dependent on the radius in the final expression.

You may initially assume that the pressure on the ball is related to the

density, radius and velocity so that:

P=constant xpªVO'RO