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Koehler Tunnel bulkhead design Page 6 July 31, 2003 <br />KOEHLER TUNNEL. BYPASS PIPE CALCULATIONS <br />Notation: <br />AID = cross sectional area inside pipe (inz) <br />Con = outside circumference (in) <br />p = pressure at pipe inlet Ca~ p = fluid density ~62.4R;~ <br />g~ = gravitational constant ~32.2~,~ D = fluid velocity (,a) <br />Z = height above datum (ft) h„ = added head (ft) <br />he = extracted head (ft) he = head loss from friction <br />(ft) <br />D = calculated inside diameter iron pipe (ft) <br />De = equivalent stainless diameter (ft) <br />Q = flow rate required (gpm) L = pipe length (ft) <br />/~8Z 1 <br />H = head (ft) E[ = kinematic velocity l~ <br />f = Moody friction factor <br />e = specific roughness for welded stainless steel pipe (p 3-20, <br />Civil Engineering Reference Manual: ed 5, M.R. Lindeburg, P.E., <br />Professional Publication, Inc., Belmont, CA, © 1989) <br />Subscripts: 1 = upstream (water side) <br />2 = downstream (air side) <br />Inside pipe diameter required for design flow rate <br />Input data: <br />Q = 65 gpm L = 30-ft H1 = 1.0-ft <br />Bernoulli equation: <br />x <br />(0'+2~+Z1)+hA=(o2+2a <br />+Z2)+hg+he <br />p 3-19 <br />c <br />pl = 1-ft~62.4ft,~ = 62.4 a <br />pz = 0.0 aZ <br />Q 65 ~ (0.13368 ,(0.01667=~~ 65 ~ [0.002228 ~ ~1 ] 65 <br />0 <br />83735 <br /> <br />DI = D2 = A = <br />= = <br />= <br />- <br />= [ <br />.002 <br />1 = 0.184428 ft <br />x eec <br />s <br />vim <br />ftz <br />0.7854D <br />fl p <br />D <br />° <br />Z1 = Zz cancels out for level pipe <br />h„ = 0 and he = 0 <br />ht = Entrance loss + Friction loss + Exit loss p 3-22 <br />_ KuZ ILV~ Ko= _ TK(0.1844~) fL(0.1844~) _ 2.28(0.03401) 0.04(30x1.03401 <br />h(- <br />+ <br />+ <br />° <br />s <br />+ <br />+ <br />2gc <br />2Dge <br />2gc 2D <br />gc <br />2D <br />gc 2D°32.2 64.4D° <br />Ke~tia~~e = 0.78 reentrant; = 0.5 sharp edged; <br />Kexlt = 1.00 straight pipe projecting, sharp edged and rounded <br />f (Moody friction factor) = 0.04 assumed for welded and seamless <br />steel pipe trial <br />