Water flows from a large tank and through a pipe of variable area as shown in Fig.

Question:

Water flows from a large tank and through a pipe of variable area as shown in Fig. 3.86. The area of the pipe is given by $A=A_{0}[1-x(1-x / \ell) / 2 \ell]$, where $A_{0}$ is the area at the beginning $(x=0)$ and end $(x=\ell)$ of the pipe. Plot graphs of the pressure within the pipe as a function of distance along the pipe for water depths of $h=1,4,10$, and $25 \mathrm{~m}$.

Figure P3.86