Water flows steadily through a pipe of length \(L\) and radius \(R=75 \mathrm{~mm}\). The velocity distribution across the outlet is given by

\[u=u_{\max }\left[1-\frac{r^{2}}{R^{2}}\right]\]

and \(u_{\max }=3 \mathrm{~m} / \mathrm{s}\). Evaluate the ratio of the \(x\)-direction momentum flux at the pipe outlet to that at the inlet.

Transcribed Image Text:

x R L P4.46