(Solved): Water is flowing into and discharging from a pipe U-section as shown below. At flange (1), the tota ...

Water is flowing into and discharging from a pipe U-section as shown below. At flange (1), the total absolute pressure is $200\mathrm{kPa}$, and $55\mathrm{kg}/\mathrm{s}$ flows into the pipe. At flange (2), the total pressure is $150\mathrm{kPa}$. At location (3), $15\mathrm{kg}/\mathrm{s}$ of water discharges to the atmosphere, which is at 100 $\mathrm{kPa}$. Determine the total $\mathrm{x}$ - and $z$-forces at the two flanges connecting the pipe. Discuss the significance of gravity force for this problem. Take the momentum-flux correction factor to be 1.03 throughout the pipes.