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AMERICAN TUNNEL. BYPASS PIPE CALCULATIONS February 28, 1994 <br /> Notation: <br /> AID = cross section area inside pipe (in') <br /> COD = outside circumference (in) <br /> p=pressure at pipe inlet (lb/ft2) p = fluid density (62.4 lb/ft') <br /> g, = gravitational constant (32.2 ft/seC2) v = fluid velocity (ft/sec) <br /> Z =height above datum(ft) hA added head (ft) <br /> hE =head extract (ft) hf=head loss from friction(ft) <br /> D =calculated iron pipe inside diameter(ft) De= equivalent stainless diameter(ft) <br /> Q =flow rate required (gpm) L=pipe length(50 ft) <br /> H=head (ft) u = kinematic viscosity (ft2 /sec) <br /> E = specific roughness for welded stainless steel p. 3-20 <br /> Subscripts: 1 =upstream(waterside) 2 = downstream(air side) <br /> Inside pipe diameter required for flow rate required <br /> Reference: Civil Engineering Reference Manual, Ed 5, M.R. Lindeburg, P.E. <br /> Professional Publication, Inc., Belmont, CA© 1989 <br /> Input data: <br /> Q =2500gpm L= 50ft H= 5ft <br /> Bernoulli equation: <br /> (p ,+ 2g + Z, + hA = P + 22 + ZZ + hE + hf F3-19 <br /> g, <br /> p, = 5 ft(62.41b/ft) = 3121b/ft2 <br /> p2=0.0 lb/ft2 <br /> Q — 2500 gpm(0.002228 '„ � 7.092 <br /> sw <br /> U, = v2 — A — nD2 = D2 <br /> 4 <br /> Z, = Z2 cancels out <br /> hA = 0 and hE = 0 <br /> hf = Entrance loss + Friction loss + Exit loss p 3-19, 3-22 <br /> h = Kv2 + fLv2 + Kv2 — IK(7.092)2 + fL(7.092)2 <br /> f 2g, 2Dg, 2g, 2D49. 2DSgc <br /> KE„� = 0.78 reentrant <br /> Kit = 1.00 <br /> f(Moody friction factor) = 0.04 assumed <br />