McCabe Problem 5.7 - assume both pipes are schedule 40 and use real pipe inner diameters from appendix 3 (hint: remember that pressure is a state variable and the value is

independent of path) HINTS: 1. Assume both pipes are Schedule 40 and use real pipe inner diameters from Appendix 3. 2. Remember that pressure is a state variable and the value is independent of path. 5.7 Basis of solution: Pressure drop in by-pass is the same as pressure drop in bypassed section. Let subscript 1 refer to the bypass; subscript 4 refer to bypassed section. From Eq. (5.73), since 2a = Z, and fittings losses and contraction and expansion losses are neglected, 14) -(45)2 LV2 2g. D₁2g, P.-P P from which: S.V. D.LV D₂L₁ Given L₁ = 22 ft; L₁ = 16ft; D₁ = 0.1667 ft D4 = 0.6667 ft f₁₁² = (0.1667 x 16) (0.6667 x 22)) £4,² 0.182f.V.2