A 2-ft inner diameter (ID) metal pipe has a roughness ε = 0.003 ft, and carries water(μ = 1 cP) at 15 ft/s. A fellow engineer suggests that the flow rate could be increased using asmooth plastic liner (i.e., drawn tubing) that reduces the ID to 1.9 ft.(a) Calculate the pressure drop in psi/ft both without and with the liner at theoriginal volumetric flow rate. [ answers should be~ 0.016 psi/ft, ~ 0.01 psi/ft](b) Calculate the flow rate in gpm both without and with the liner if the pressure dropis maintained at 0.01 psi/ft in both cases. [answers should be~ 16,500 gpm, ~ 21,700 gpm

Question

A 2-ft inner diameter (ID) metal pipe has a roughness ε = 0.003 ft, and carries water
(μ = 1 cP) at 15 ft/s. A fellow engineer suggests that the flow rate could be increased using a
smooth plastic liner (i.e., drawn tubing) that reduces the ID to 1.9 ft.
(a) Calculate the pressure drop in psi/ft both without and with the liner at the
original volumetric flow rate. [ answers should be~ 0.016 psi/ft, ~ 0.01 psi/ft]
(b) Calculate the flow rate in gpm both without and with the liner if the pressure drop
is maintained at 0.01 psi/ft in both cases. [answers should be~ 16,500 gpm, ~ 21,700 gpm