Problem $3$: $(10$ points$)(30$ mins$)$

In a laboratory test, as shown below, a valve is connected to a $25$ mm diameter vertical pipe. The valve is fully open and water at $20C$ is used for the test. The manometer height is $h=4mm.$

a$)$ What are the volume flow rate in $\frac{L}{sec}.$ Is the fluid flow laminar or turbulent?

b$)$ Calculate the energy loss $(E_{\text{l}\text{o}\text{s}\text{s}})$ in $k\frac{j}{sec}$ of the fully open valve.

Solution: