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American Tunnel Bypass -e Calculations Page 4 February 28, 1994 <br /> V — Q — Q _ 2500 gpm(0.002228 ) —VM 5.570 = 8.289 ft <br /> A TDP � 0.9252 0.672 sec <br /> 4 4 <br /> Calculate "f" (Moody friction factor) based on associated Reynolds number (NRE) <br /> NRE = DPv u = kinematic viscosity = 1.410E-5 ft2 /sec <br /> u <br /> _ Q _ 5.570 7.092 <br /> v A ;rD2 D2 <br /> 4 <br /> NRE = DPv _ DP(7.092) = 7.092 — 7.092 = 5.438 x 10' <br /> u DPu DP (0.925)(1.410E-5) <br /> s= "smoothness factor" l DPE= 0.00007 ft (DriscopipeT , Phillips Driscopipe, Inc.) <br /> Solve for "f" in Colebrook-White flow equation: <br /> s <br /> 1 -2 log 2.51 + DP Let a = J :. f = a <br /> f R. rf- 3.7 <br /> 0.00007 11 <br /> _ 1 = log 2.51 + 0.925 = log(4.616E-6 + 2.045E-5J <br /> 2a 5.438E+5(a) 3.7 l a <br /> 10 2a = 4.616E-6 + 2.045E-5 <br /> a <br /> 0 = 10 20 _ 4.616E-6 _ 2 045E-5 :. f = 0.0140 <br /> a <br /> 2 <br /> 1.78(7.0922)D 0.0140(50)(7.0922) 0.0140(50)(7.0922) <br /> 0 = 5Dp - 2 P - = 5Dp -1.3902DP - 2(32 2) <br /> g� g, <br /> 0 = 5Dp -1.3902DP - 0.5467 <br /> DP = 0.8019 ft (9.628 in) <br /> '. Any HDPE pipe with an inside diameter greater than 9.628 in will carry required 2500 gpm <br /> flow rate with a 5-ft inlet head, through a 50-ft long pipe, it a reentrant entrance. <br /> ;. Wt - <br /> John F. Abel, Jr. <br /> Colorado P.E. 5642 <br />