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Mogul Mine bulkhead design Page 5 <br />MOGUL MZNE, NO. 1 PORTAL BYPASS PIPE CALCULATIONS <br />Notation: <br />July 14, 2003 <br />AID = cross sectional area inside pipe (in2) <br />CoD = outside circumference (inj <br />p = pressure at pipe inlet Ce~~ p = fluid density ~62.4R;~ <br />g~ = gravitational constant ~32.2~,~ D = fluid velocity (sue) <br />Z = height above datum (ft) hA = added head (ft) <br />hE = extracted head (ft) hr = head loss from friction <br />(ft) <br />D = calculated inside diameter iron pipe (ft) <br />DQ = equivalent stainless diameter {ft) <br />Q = flow rate required (gpm) L = pipe length (ft) <br />z <br />H = head (ft) ~[ = kinematic velocity ~~~ <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 />Znput data: <br />Q = 150 gpm L = 30-ft H, = 1.0-ft <br />Bernoulli equation: <br />Co +z& +ZI)+hA=~v + s<+Z2)+hg+h~ p 3-19 <br />?7' = 1.-Ft 62.4 a,) = F:2. G Ib <br />Ib <br />pz = 0.0 ft: <br />150~((O.U368 n3 (O.OI667 ,"""-a~ 150~f0.002228 ~~~) <br />Q ~ l ~ ~ ` pK+.Y) ~ _ ISO[0.00283735] = 0.425602 ft <br />UI - D2 - A = g ftz = 0.7854D~ft~ - D~ D~ sa <br />Z, = Z, cancels out for level pipe <br />h„ = 0 and he = 0 <br />ht = Entrance loss + Friction loss + Exit loss p 3-22 <br />hl_ Zgc + B< + 2Bo _ TKZOD.4 g56Z) + fi-(ZD45~6=) - 2.22D~32.24) + 0.04(`340 D48114 <br />Ke„c~a~« = 0.78 reentrant; ~ = 0.5 sharp edged; <br />Kcasc = 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 />~y ilk MI <br />