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TERRY TUNNEL, BYPASS PIPE CALCULATIONS February 25, 1994 <br /> Notation: <br /> AID = cross section area inside pipe (in') C,,D = outside circumference (in) <br /> p = pressure at pipe inlet (lb/ft') p = fluid density (62.4 lb/ft') <br /> ge = 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(ft) <br /> H=head (ft) u = kinematic viscosity (ft'/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 = 1370gpm L= 10ft H= 10ft <br /> Bernoulli equation: <br /> P' + V1 <br /> 2 + Z, + hA = (L- + y2 + ZZ + hE + hf p 3-19 <br /> p 2g� p 2g, <br /> p, = 10 ft(62.4 lb/ft') = 624 lb/ft2 <br /> p2= 0.0 lb/ft2 <br /> Q — 1370 gpm(0.002228 �) 3.8864 <br /> v, = v2 - A - o2 = 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 + Ku2 _ EK(3.8864)2 + fL(3.8864)2 <br /> f 2g,. 2Dg, 2& 2D491 2DSgr <br /> KE„t„a = 0.78 reentrant <br /> K&A = 1.00 <br /> f(Moody friction factor) = 0.04 assumed <br />