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Nr.crt q [M^3/h]d [m] s [m] L[m] v re e f 1 70 0.11 0.0032 2 2.047107 222952.2 5.454545 0.015674 2 20 0.056 0.0032 3 2.256741 125126.3 10.71429 0.017593 3 30 0.22 0.004 3 0.219333 47775.48 2.727273 0.021329 4 50 0.08 0.004 2 2.764508 218970.9 7.5 0.01573 5 25 0.06 0.004 3 2.457341 145980.6 10 0.017059 6 25 0.06 0.004 2 2.457341 145980.6 10 0.017059 nr crt q a s1 s2 q^2 2aq q^2 2aq 1 70 160.9918 1 0 -788860 22538.85 0 0 2 20 7926.673 1 -1 -3170669 317066.9 3170669 317066.9 3 30 10.26943 -1 0 9242.487 616.1658 0 0 4 50 794.1129 0 1 0 0 -1985282 79411.29 5 25 5443.591 0 1 0 0 -3402244 272179.5 6 25 3629.06 0 -1 0 0 2268163 181453 deltaQ1= -11.6109 deltaQ2= 0.060351

SNT Problem 1 Hardy Cross

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SNT

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iteratia1Nr.crtq [M^3/h]d [m]s [m]L[m]vreefaD[mm]s[mm]1700.110.003222.0471068531222952.2315288855.45454545450.0156738418160.9917835091103.2e = rugozitatea relativa2200.0560.003232.2567413377125126.2523886610.71428571430.01759333357926.6729293854563.2e =k/d unde k=rugozitatea absoluta( k=0.6)3300.220.00430.219332877147775.47818476112.72727272730.021329310410.26943022732204f =factor de frecare4500.080.00422.7645081387218970.9416801557.50.0157304275794.1129346988804re =nr lui reynolds5250.060.00432.4573405677145980.62778677100.01705920465443.5907054542604s =grosimea tevii6250.060.00422.4573405677145980.62778677100.01705920463629.0604703028604a =coef. Pierderilor de sarcinadeltaQ1 =corectia in bucla1deltaQ2 =corectia in bucla2Qnc =debitul corectats1,s2 =coef. Ce tine cont de semn in bucla 1,respectiv 2q =debitulnr crtqas1s2q^22aqq^22aqQncd =diametrul tevii170160.99178350910-788859.73919402722538.84969125790058.3890894612207926.67292938541-1-3170669.17175416317066.9171754163170669.17175416317066.9171754168.32873798733010.2694302273-109242.4872045799616.16581363870041.610910539450794.11293469880100-1985282.33674779411.293469879950.0603514745255443.59070545420100-3402244.19090888272179.5352727125.0603514746253629.06047030280-1002268162.79393925181453.0235151424.939648526deltaQ1=-11.610910539deltaQ2=0.060351474

iteratia2Nr.crtq [M^3/h]d [m]s [m]L[m]vreefa158.389090.11110.003221.6739074081184129.814886015.4005400540.0162851964159.152836826328.3287380.05710.003230.903930054951103.372409591410.50788091070.02104398158602.6114497985341.610910.07210.00432.8324648339202198.7272536638.32177531210.01598314132035.4889734395450.060350.08490.00422.4575725284206582.0867908257.06713780920.0159147306596.832575104525.060350.05630.00432.7976809456155949.93785674710.65719360570.0168352977385.1912375192624.939650.05630.00422.7842062698155198.82474382910.65719360570.0168515614928.2172240444nr crtqas1s2q^22aqq^22aqQnc158.38909159.152836826310-542597.51155997618585.57862641720065.588552379828.3287388602.61144979851-1-596744.890112299143297.793762344596744.890112299143297.79376234418.5460922694341.610912035.4889734395-103524383.67792283169397.0969595630034.4114476202450.06035596.8325751040100-1495685.4960881859755.295202217947.0424581104525.060357385.19123751920100-4638056.23577986370150.95445832622.0424581104624.939654928.21722404440-1003065282.81872506245816.0253832827.9575418896deltaQ1=7.1994623798deltaQ2=-3.0178918896

iteratia3Nr.crtq [M^3/h]d [m]s [m]L[m]vreefa165.588550.11110.003221.8803026341206833.2897488535.4005400540.015910863155.4945312646218.546090.05710.003232.0128341354113794.88033022510.50788091070.01793053637329.8599250902334.411450.07210.00432.3423958286167214.5933110598.32177531210.01660209862114.31456822447.042460.08490.00422.3094176801194128.2782596197.06713780920.0161138777604.3009686158522.042460.05630.00432.4607705134137169.68307345410.65719360570.01727293737577.1722469242627.957540.05630.00423.121116702173979.07952712210.65719360570.01647094124816.9054544328nr crtqas1s2q^22aqq^22aqQnc165.58855155.494531264610-668915.37634400420397.32167715260064.0206463732218.546097329.85992509021-1-2521159.96012238271880.4837162322521159.96012238271880.48371623215.6185502202334.411452114.31456822-102503661.13708502145513.2600971490035.9793536268447.04246604.30096861580100-1337313.8393352556855.608288140348.4020961529522.042467577.17224692420100-3681521.00430703334039.03233187523.4020961529627.957544816.90545443280-1003765009.11532767269337.65383704526.5979038471deltaQ1=-1.5679036268deltaQ2=1.3596361529

iteratia4Nr.crtq [M^3/h]d [m]s [m]L[m]vreefa164.94726638780.11110.003221.8619182169204811.0038594515.4005400540.0159421601155.8003934886216.36867637560.05710.003231.7765162663100434.73148905410.50788091070.01838404357515.2500541664335.05273361220.07210.00432.3860481612170330.7647717038.32177531210.01654090262106.5211229022448.57859001220.08490.00422.3848296762200467.3658511197.06713780920.0160106545600.429904438523.57859001220.05630.00432.6322606029146728.98212351410.65719360570.01704176777475.7643986415626.42140998780.05630.00422.9496266125164419.78047706210.65719360570.01665815934871.6571330205nr crtqas1s2q^22aqq^22aqQnc164.02065155.800393488610-638570.2897663319948.8849227970064.6461721649215.618557515.25005416641-1-1833263.36531961234754.6174670011833263.36531961234754.61746700116.48923661923362106.5211229022-102725957.83387224151555.7687083220035.3474778351448.4021600.4299044380100-1406665.1349791258124.136555195848.1569355457523.40217475.76439864150100-4094164.30521337349897.17206689823.1569355457626.59794871.65713302050-1003446445.48098907259151.6985167326.8430644543deltaQ1=0.6255221649deltaQ2=-0.2451644543

iteratia5Nr.crtq [M^3/h]d [m]s [m]L[m]vreefa164.74794885170.11110.003221.8562041511204182.4566251455.4005400540.0159519632155.8961975526216.34286817020.05710.003231.7737152642100276.37780699610.50788091070.01838984617517.6221312726335.25205114830.07210.00432.3996157547171299.3028817098.32177531210.01652215542104.1336339337448.40508068150.08490.00422.3763117221199751.3516875637.06713780920.0160221162600.859740047523.40508068150.05630.00432.6128904126145649.23785200610.65719360570.01706696047486.8157216027626.59491931850.05630.00422.9689968028165499.5247485710.65719360570.01663636634865.283791386nr crtqas1s2q^22aqq^22aqQnc164.64617155.896197552610-651510.05448320920156.18417868250064.4865924389216.489247517.62213127261-1-2044004.13834485247919.7511037312044004.13834485247919.75110373116.174828989335.347482104.1336339337-102628997.86446762148751.6430855960035.5070575611448.15694600.8597400470100-1393448.3373918957871.132899718548.3117734499523.156947486.81572160270100-4014759.03775394346743.48491242323.3117734499626.843064865.2837913860-1003505679.60419229261198.20945840726.6882265501deltaQ1=-0.1595775611deltaQ2=0.1548334499

iteratia6Nr.crtq [M^3/h]d [m]s [m]L[m]vreefa164.63541472360.11110.003221.8529780055203827.580600185.4005400540.015957514155.9504447101216.29611288150.05710.003231.768640844799989.497257548610.50788091070.01840038657521.9309613081335.36458527640.07210.00432.4072759803171846.1368119958.32177531210.0165116272102.7928077277448.33930184220.08490.00422.3730824944199479.9047264317.06713780920.0160264743601.0231779085523.33930184220.05630.00432.6055470114145239.89776319310.65719360570.01707656977491.0310987221626.66069815780.05630.00422.976340204165908.86483738310.65719360570.01662814894862.8806357872nr crtqas1s2q^22aqq^22aqQnc164.48659155.950444710110-648523.08853448820113.42477667030064.570533329216.174837521.93096130811-1-1967926.13197196243331.9091417911967926.13197196243331.90914179116.3050811694335.507062102.7928077277-102651098.7866724149327.9807831120035.423116671448.31177601.02317790850100-1402804.3973073458072.987071570548.2654621596523.311777491.03109872210100-4070915.6066586349258.38807251423.2654621596626.688234862.88063578720-1003463643.24210387259563.35374087226.7345378404deltaQ1=0.083943329deltaQ2=-0.0463078404

iteratia7Nr.crtq [M^3/h]d [m]s [m]L[m]vreefa164.58903649130.11110.003221.8516484272203681.3269877825.4005400540.015959805155.9728343597216.28359816190.05710.003231.767282603999912.709589147910.50788091070.0184032147523.0867983622335.41096350870.07210.00432.4104329579172071.5012549568.32177531210.01650729962102.2417075302448.30543832940.08490.00422.3714200602199340.1614935487.06713780920.0160287207601.1074212238523.30543832940.05630.00432.6017665652145029.16596085210.65719360570.01708152947493.2067739013626.69456167060.05630.00422.9801206502166119.59663972410.65719360570.0166239284861.6462432107nr crtqas1s2q^22aqq^22aqQnc165155.972834359710-650305.85858557520142.49716040970064.5404307013216.305087523.08679836221-1-2000055.00895916245329.0641884812000055.00895916245329.06418848116.2545862923335.423122102.2417075302-102637887.49297109148935.9205496910035.4532192987448.26546601.10742122380100-1400312.5756450958025.452389559448.285854409523.265467493.20677390130100-4055935.16909805348665.8049398623.285854409626.734544861.64624321070-1003474791.78567306259947.7519099326.714145591deltaQ1=-0.0300992987deltaQ2=0.020394409

iteratia8Nr.crtq [M^3/h]d [m]s [m]L[m]vreefa164.56635800770.11110.003221.8509982769203609.8104598225.4005400540.015960926155.9837896949216.27553074270.05710.003231.766407035299863.209613266110.50788091070.0184050387523.8324559548335.43364199230.07210.00432.4119766879172181.7021739068.32177531210.0165051862101.9725403682448.2908272650.08490.00422.3707027709199279.8665862047.06713780920.0160296905601.1437915117523.2908272650.05630.00432.6001354189144938.24166896110.65719360570.0170836727494.1466826686626.7091727350.05630.00422.9817517965166210.52093161410.65719360570.01662210884861.1142209323nr crtqas1s2q^22aqq^22aqQnc164.54043155.983789694910-649745.34482274320134.52171988140064.5510739545216.254597523.83245595481-1-1987884.53412004244593.6236004771987884.53412004244593.62360047716.2741650588335.453222101.9725403682-102642034.04433321149043.3898152670035.4425760455448.28585601.14379151170100-1401580.7627051358053.477890733148.2769188957523.285857494.14668266860100-4063557.22766963349015.15106123523.2769188957626.714154861.11422093230-1003469113.79678135259721.06893023726.7230811043deltaQ1=0.0106439545deltaQ2=-0.0089311043

iteratia9Nr.crtq [M^3/h]d [m]s [m]L[m]vreefa164.55630897140.11110.003221.8507101896203578.1208550145.4005400540.0159614228155.9886455772216.27242811910.05710.003231.766070302999844.172572008710.50788091070.01840573987524.1193441779335.44369102860.07210.00432.4126607282172230.5331738258.32177531210.016504252101.8533361116448.28388085230.08490.00422.3703617563199251.2010969427.06713780920.0160301517601.1610873566523.28388085230.05630.00432.5993599371144895.01431481710.65719360570.01708469127494.5937836023626.71611914770.05630.00422.9825272783166253.74828575910.65719360570.01662124434860.8614086305nr crtqas1s2q^22aqq^22aqQnc164.55107155.988645577210-649979.82748012320138.46795971390064.5451919863216.274177524.11934417791-1-1992752.54367682244897.594614881992752.54367682244897.5946148816.2658574376335.442582101.8533361116-102640298.71904597148990.2100268080035.4484580137448.27692601.16108735660100-1401102.7038369458044.411442856848.2793545487523.276927494.59378360230100-4060683.36598515348902.11986681723.2793545487626.723084860.86140863050-1003471252.95449539259794.37658349226.7206454513deltaQ1=-0.0058780137deltaQ2=0.0024345487

iteratia10Nr.crtq [M^3/h]d [m]s [m]L[m]vreefa164.55160598420.11110.003221.8505753636203563.2899991915.4005400540.0159616554155.9909184602216.27084952180.05710.003231.765898975599834.486633305910.50788091070.01840609697524.265336476335.44839401580.07210.00432.4129808617172253.3862678898.32177531210.01650381212101.7975619962448.28075646240.08490.00422.3702083731199238.3077991567.06713780920.0160303592601.1688677362523.28075646240.05630.00432.5990111372144875.57131335910.65719360570.01708514987494.7949349417626.71924353760.05630.00422.9828760782166273.19128721710.65719360570.01662085564860.7477232485nr crtqas1s2q^22aqq^22aqQnc164.54519155.990918460210-649870.88769762920136.92694057070064.5463430838216.265867524.2653364761-1-1990756.59063158244777.2931319441990756.59063158244777.29313194416.2687738877335.448462101.7975619962-102641104.7687705149010.9736090370035.4473069162448.27935601.16886773620100-1401261.8905593258048.084349077448.2775891961523.279357494.79493494170100-4061640.25196177348947.90893747223.2775891961626.720654860.74772324850-1003470540.51228074259764.67730244226.7224108039deltaQ1=0.0011530838deltaQ2=-0.0017608039

iteratia11Nr.crtq [M^3/h]d [m]s [m]L[m]vreefa164.54947252710.11110.003221.8505142014203556.5621489095.4005400540.0159617609155.9919495934216.2701654710.05710.003231.765824734499830.289442287110.50788091070.01840625177524.3286043439335.45052747290.07210.00432.4131260867172263.7533159658.32177531210.01650361342101.7722636261448.27930705610.08490.00422.3701372186199232.3265911567.06713780920.0160304555601.1724772637523.27930705610.05630.00432.5988493288144866.55169419110.65719360570.01708536257494.8882601597626.72069294390.05630.00422.9830378866166282.21090638410.65719360570.01662067534860.6949899533nr crtqas1s2q^22aqq^22aqQnc164.54634155.991949593410-649898.34130808420137.41883143440064.5451746316216.268777524.32860434391-1-1991485.70155945244823.1429369831991485.70155945244823.14293698316.2673842182335.447312101.7722636261-102640901.62123029149004.3459563110035.4484753684448.27759601.17247726370100-1401168.1406116658046.316753245748.2778104134523.277597494.88826015970100-4061076.69477227348925.87203162123.2778104134626.722414860.69498995330-1003470960.0569985259778.96881295526.7221895866deltaQ1=-0.0011653684deltaQ2=0.0002204134

CENTRALIZATORTABEL CENTRALIZATORnumrul iteraieidelta Q1deltaQ2q iniialq final1-11.610910.0603517064.548487689427.19946-3.0178922016.26984131013-1.567901.3596433035.451512310640.62552-0.2451645048.27864637925-0.159580.1548352523.278646379260.08394-0.0463162526.72135362087-0.030100.0203980.01064-0.008939-0.005880.00243100.00115-0.0017611-0.001170.00022