Consider a pipeline that carries an oil (Ļ=900 kg/m^3, v=0.00001 m^2/s) at a flow rate of 1.0 m^3/s. The length of the pipeline is 2000 m and the head loss is expected to be 100 m. The pipe material is steel. k_s=0.046 mm.
a) Express the head loss in Pascals
b) Calculate the diameter required to maintain the flow
c) What power input would be required for a pump to maintain this flow if its efficiency is 80%?