Repeat the analysis for the above problem if the flow is turbulent. Note that the resistance concept is not useful here. Why?

Above problem:

A \(32 \mathrm{~km}\)-long pipeline delivers petroleum at the rate of \(2000 \mathrm{~m}^{3}\) per day. The pressure drop of the pipe across the system is \(34.5 \mathrm{MPa}\). Find the resistance of the pipe to the flow. Express the resistance per unit length of the pipe.

Now, if an additional parallel line of the same size is laid along the last \(18 \mathrm{~km}\) of the pipe, what will the new flow rate be? Assume laminar flow holds in both cases. Treat this as a resistance in series and two resistances in parallel, and find the overall resistance.