Pipes AB and CF in Figure have a diameter of 3 m and a Darcy-Weisbach friction factor of 0...

Pipes AB and CF in Figure have a diameter of 3 m and a Darcy-Weisbach friction factor of 0.02. The length of AB is 1000 m and that of CF is 900 m. The discharge in pipe AB is 60 m3/sec. Branch 1 is 1,000 m long, and it has a diameter of 2 m and a friction factor of 0.018. Branch 2 has a length of 800 m, diameter of 3 m, and a friction factor of 0.02. A discharge of 20 m3/sec is added to the flow at point B and 10 m3/sec is taken out at point C as shown in the figure. (a) Determine the total head loss due to friction between section A and F, and (b) determine the discharge in each of branches 1 and 2.

Figure