Solution-for-Lecture8流体力学请先做再校对

8.1The0.3-in.-diameterhoseshownbelowcanwithstandamaximumpressureof200psiwithoutrupturing.Determinethemaximumlength,ℓ,allowedifthefrictionfactoris0.022andtheflowrateis0.010cfs.Neglectminorlosses.8.2Thepressureatsection(2)shownbelowisnottofallbelow60psiwhentheflowratefromthetankvariesfrom0to1.0cfsandthebranchlineisshutoff.Determinetheminimumheight,h,ofthewatertankundertheassumptionthat(a)minorlossesarenegligible,(b)minorlossesarenotnegligible.8.3Waterflowsfromalargetankthatsitsonfrictionlesswheelsasshownbelow.Thepipehasadiameterof0.50mandaroughnessof9.2×10−5m.Thelosscoefficientforthefilteris8;otherminorlossesarenegligible.Thetankandthefirst50-msectionofthepipeareboltedtothelast75-msectionofthepipewhichisclampedfirmlytothefloor.Determinethetensioninthebolts.8.4TheflowratebetweentankAandtankBshownbelowistobeincreasedby30%(i.e.,fromQto1.30Q)bytheadditionofasecondpipe(indicatedbythedottedlines)runningfromnodeCtotankB.IftheelevationofthefreesurfaceintankAis25ftabovethatintankB,determinethediameter,D,ofthisnewpipe.Neglectminorlossesandassumethatthefrictionfactorforeachpipeis0.02.8.5Thethreewater-filledtanksshownbelowareconnectedbypipesasindicated.Ifminorlossesareneglected,determinetheflowrateineachpipe.8.6Atankisseparatedintotwotanksbyaplateandtherearetwosharp-crestedcircularorificesonthewallsasshownbelow.Theirdiameterared1=0.10mandd2=0.125mrespectively,thecoefficientsofdischargeoftwoorificesareequal,thatis=0.62.Oncethewaterlevelintwotanksaresteady,thewaterdepthy1=4.8m.Determinethewaterdepth,y2,andtheflowratetotheopenairthroughtheorifice.112222()2QAgHHAgH242111222()()0.4096HAdHHAd210.291.395mHH222320.620.7850.12529.81.390.040m/sQAgHSolution:H1=y1,H2=y2H1H2d1d2题7-2图8.9Waterflowsthroughtheorificemetershownbelowatarateof0.10cfs.Ifd=0.1ft,determinethevalueofh.8.13Wateriscirculatedfromalargetank,throughafilter,andbacktothetankasshownbelow.Thepoweraddedtothewaterbythepumpis200ft·lb/s.Determinetheflowratethroughthefilter