(a) Oil, with density ρ= 900 kg/m³, and kinematic viscosity υ=0.00001m²/s, flows at the rate of 0.2m³/s through 500m of a cast iron pipe of diameter d=200mm. Using this information, determine:

(i) the frictional head loss through the pipe;

(ii) the pressure drop if the pipe slopes down 10^o in the flow direction.

(b) Three such cast iron pipes, whose dimensions are given in the Table below, are now laid in parallel. The total flow rate is 200 m³/hour of water at 20^oC.

(i) What is the flow rate in each pipe?

(ii) What is the pressure drop across the system?