For the pipe flow into a reservoir of Example 8.5 consider the effect of pipe roughness on flow rate, assuming the pressure of the pump is maintained at \(153 \mathrm{kPa}\). Plot the flow rate against pipe roughness ranging from smooth \((e=0)\) to very rough \((e=3.75 \mathrm{~mm})\). Also consider the effect of pipe length assuming the pump always produces \(153 \mathrm{kPa}\) for smooth pipe. Plot the flow rate against pipe length for \(L=100 \mathrm{~m}\) through \(L=1000 \mathrm{~m}\).

Data From Example 8.5

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Example 8.5 PIPE FLOW INTO A RESERVOIR: PRESSURE DROP UNKNOWN A 100-m length of smooth horizontal pipe is attached to a large reservoir. A pump is attached to the end of the pipe to pump water into the reservoir at a volume flow rate of 0.01 m/s. What pressure must the pump produce at the pipe to generate this flow rate? The inside diameter of the smooth pipe is 75 mm.