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pro00031 - Pipe Flow Problems-I 1 Problem 1 Sketch the HGL...

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Pipe Flow Problems-I 1. Problem 1: Sketch the HGL and the EGL for Figure 1 if H=8m. Solution: Fig.1 L h g V Z P g V Z P + + + = + + 2 2 2 2 2 2 2 1 1 1 γ γ g V K Q gA D L f gA D L f g V K g V D L f g V D L f H h i i i i L 2 2 1 2 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 + + = + + = = K 1 =1 (Re-entrant) K 2 =? (Sudden expansion) = 75 . 0 1 2 2 2 1 = - D D K 3 =3.5 (Valve) K 4 =1 (Sudden expansion) 8 = (21806 f 1 + 1090f 2 + 163(1+0.75) + 10(3.5+1)) Q 2 8 = (21806 f 1 + 1090f 2 + 331)) Q 2 20m 150m m diam Water 20 0 C New commercial steel pipe Valve K=3.5 300mm diam 7m 25m H HGL EGL (1) (2)
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5 6 2 2 2 5 6 1 1 1 2 2 1 3 2 1 2 1 10 5 . 1 10 3 . 0 5 . 0 10 3 10 15 . 0 2 5 . 0 , 2 4 15 . 0 14 . 3 036 . 0 36 036 . 0 015 . 0 ; 02 . 0 00015 . 0 ; 0003 . 0 150 046 . 0 046 . 0 × = × = = × = × = = = = = = = = = = = = = - - ν ν ε ε ε D V D V s m V s m V s L s m Q f f Assume D D Close enough since f 2 = 0.017 and f 1 =0.018 Problem 2: Calculate the discharge through the siphon of figure 2 for H=2.4m. What is the minimum pressure in the system?
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