Water, assumed incompressible, flows steadily through the round pipe in Fig. $\mathrm{P} 3.15 .$ The entrance velocity is constant, $u=U_{0},$ and the exit velocity approximates turbulent flow, $u=u_{\max }(1-r / R)^{1 / 7} .$ Determine the ratio $U_{0} / u_{\max }$ for this
flow.