Discuss the below in detail:
Q: Water at 27°C flows with a mean velocity of 1 m/s through a l-km-long pipe of 0.25-m inside diameter.
(a) Determine the pressure drop over the pipe length and the corresponding pump power requirement, if the pipe surface is smooth.
(b) If the pipe is made of cast iron and its surface is clean, determine the pressure drop and pump power requirement.
(c) For the smooth pipe condition, generate a plot of pressure drop and pump power requirement for mean velocities in the range from 0.05 to 1.5 m/s.