(a) Oil, with density ρ= 900 kg/m^{3}, and kinematic viscosity υ=0.00001m^{2}/s, flows at the rate of 0.2m^{3}/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 m^{3}/hour of water at 20^{o}C.
(i) What is the flow rate in each pipe?
(ii) What is the pressure drop across the system?
Pipe No
Length (m)
Diameter (cm)
1
800
12
2
600
8
3
900
10