CE $442$ Homework No$.5$

Spring $2024$

A pipe manifold is shown to discharge treated wastewater to a river. The design flow is $35cfs.$ The diameter of all nozzles is $0\mathrm{.}90ft.$ Neglect transition losses. The objective is to calculate the elevation of the contact basin above the river when $Q=35$ cfs$.$ Assume constant $K_{\text{o}\text{r}\text{i}\text{f}}$ and pipe friction factor $(f),$ and neglect minor losses.

a$.$ Qualitatively plot the HGL and EGL.

b$.$ Write a spreadsheet that will calculate the flow in each nozzle based on an assumed chlorine contact basin elevation. Guess different values of basin elevation to get $Q=35$ cfs or use GOAL SEEK to find this elevation.

c$.$ Calculate EGL and Q in each orifice

e$.$ When this system is first built, $Q_{\text{a}\text{c}\text{t}\text{u}\text{a}\text{l}}=15$ cfs$.$ Qualitatively describe how the hydraulics of the discharge will change.

e$.$ GRAD STUDENTS ONLY: Use your spreadsheet to calculate basin elevation when $Q=15$ cfs$.$