difference of water level as 20m. Determine the discharge through the pipe. If an additional pipe of diameter 200mm and length 1200m is attached to the last 1200m of the existing pipe, find the increase in discharge. Take f = 0.015 and neglect minor losses. (Dec2013,July 2014) Ans; Case-1: When single pipe connects two reservoirs H = 20m, f = 0.015, L1 = 2000m   V Q Q D1 = 0.2m    A1 2    D1 4   4 fL V 2 H   4 fL1Q 1 1 2gD  32 fL1Q     gD5 2 1 2 1 2gD1   D1  4   20 32 0.015 2000 H      Q (0.2)5    g 2  0.0254 / sec Q m3 Case-2: When Pipeline is branched midway for connecting two reservoirs H = 20m, f = 0.015, L1 = 800m, D1 = 0.2m L2 = 1200m, D2 = 0.2m L3 = 1200m, D3= 0.2m Q1 = Q2 + Q3 = 2Q2   Q Q2 =   1 2   4 4 fL V fL V 2 2   H 1 1 2 2 2gD1 2gD2 32 32 32  0.015  800  Q fL Q fL Q 2 2 0.5Q 2 2 32 0.015 1200    20     1 1 2 2 1 1 0.25 0.25  gD  gD       g g 2 5 2 5 2 2 0.0342 / sec  Q m 3
difference of water level as 20m. Determine the discharge through the pipe. If an additional pipe of diameter 200mm and length 1200m is attached to the last 1200m of the existing pipe, find the increase in discharge. Take f = 0.015 and neglect minor losses. (Dec2013,July 2014) Ans; Case-1: When single pipe connects two reservoirs H = 20m, f = 0.015, L1 = 2000m D1 = 0.2m V  Q  Q A1   2    D1   4  4 fL V 2 H  1 1  2gD 4 fL1Q    32 fL1Q   2 gD5 1 2 1 2gD1   D1  4   H  20  32  0.015  2000  Q  2  g  (0.2)5 Q  0.0254 m3 / sec Case-2: When Pipeline is branched midway for connecting two reservoirs H = 20m, f = 0.015, L1 = 800m, D1 = 0.2m L2 = 1200m, D2 = 0.2m L3 = 1200m, D3= 0.2m Q1 = Q2 + Q3 = 2Q2  Q  Q2 =  1   2  4 fL V 2 4 fL V 2 H  1 1  2 2 2gD1 32 fL Q 2 2gD2 32 fL Q 2 32  0.015  800  Q 2 32  0.015  1200  0.5Q 2 20  1 1  2 2  1  1  2 gD 5  2 gD 5  2  g  0.25  2  g  0.25 Q  0.0342 m 3 / sec
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