The reservoirs in the following figure contain water. If the pipe is made of cast iron (e = 0.15mm) with L = 4%3D4500 m, and d = 0.04 m, what will be the flow rate in m3/hr for Az = 100m?AzL, D, EB.

Given Data: The difference in the reservoir heads is hf hf=∆z=z1-z2=100 m The length of the pipe is L=4500 m. The diameter of the pipe is d=0.04 m. Assume the density of water ρw=1000 kg/m3. Assume the absolute viscosity μ=0.001 kg/m-sDetermine the velocity of flow. The velocity of flow is V. hf=fLV22gd100 m=f4500 mV229.81 m/sec20.04 m100=5733.945fV2fV2=0.01744 Assume f=0.02. 0.02V2=0.01744V2=0.017440.02=0.872V=0.872=0.934 m/s Reynold's number is given by: Re=ρwVdμ=1000 kg/m30.934 m/s0.04 m0.001 kg/m-s=37300 Assume fsmooth =0.0224. 0.0224Vbetter2=0.01744Vbetter2=0.017440.0224=0.778Vbetter=0.778=0.883 m/s Reynold's number is given by: Re=ρwVbetterdμ=1000 kg/m30.883 m/s0.04 m0.001 kg/m-s=35300 Assume fbetter =0.0227. 0.0227V2=0.01744V2=0.017440.0227=0.768V=0.768=0.877 m/s Reynold's number is given by: Re=ρwVdμ=1000 kg/m30.877 m/s0.04 m0.001 kg/m-s=35000Determine the flow rate. The cross-sectional area of the pipe is A A=π4d2=π40.04 m2=0.001256 m2 The flow rate is Q Q=AV=0.001256 m2×0.877 m/s=0.001101 m3/s=4 m3/hr The flow rate is 4 m3/hr.