Title 2.4 Compund pipe, equivalent pipe.pdf ✅

Compound pipes L1 , L2, L3 = length of the pipe 1,2 and 3 respectively d1 , d2, d3 = diameter of the pipe 1,2 and 3 respectively v1 , v2, v3 = velocity of flow through pipe 1,2 and 3 respectively f1 , f2, f3 = co-efficient of friction of pipe 1,2 and 3 respectively H= different in water levels in two tanks Difference in liquid surface levels equals to the sum of the total heads loss in pipes H = 0.5 v1 2 2g + 4f1 L1 v1 2 2gd1 + 0.5 v2 2 2g + 4f2 L2 v2 2 2gd2 + (v2 −v3 ) 2 2g + 4f3 L3 v3 2 2gd3 + v 2 2g Neglecting minor losses H = 4f1 L1 v1 2 2gd1 + 4f2 L2 v2 2 2gd2 + 4f3 L3 v3 2 2gd3 f = f1 = f2 = f3 H = 4f 2g [ L1 v1 2 d1 + L2 v2 2 d2 + L3 v3 2 d3 ]