ppt后习题答案Word文档下载推荐.docx

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ppt后习题答案Word文档下载推荐.docx

105Pa,p2=-33332Pa

Problem4作业1.3

ppt1-2

InaNewtonianfluid,therelationshipbetweenthesheartressandshearrateis(

●Keepingthepressureconstant,theviscosityofagaswill(increase)asthetemperaturerising,andtheviscosityofaliquidwill(decrease)asthetemperaturerising

●theeffectofthesolidboundaryontheflowisconfinedtoalayerofthefluidimmediatelyadjacentto(wallofsolid)

●Atlowflowratesthepressuredropinthefluidisproportionaltothe(velocity);

athighratesitincreasesasthe(squareofthevelocity).

●Mechanicalenergyisfinallyconvertedto(heat)wheneddiesinfluidareobliteratedbyviscousaction,whichmayleadtoalarge(friction)lossinthefluid.

●Potentialflowhastwoimportantcharacteristics:

(1)neithercirculationsnoreddiescanformwithinthestream

(2)frictioncannotdevelop

ppt1-3

Ø

Bernoulli'

sequationhasfollowingrestrictions

1)idealfluid

2)densityisconstant

3)steady-stateflow

Thetotalenergybalanceisnotoftenusedwhen(appreciableenthalpy)changesoccuror(appreciableheat)isexchangedbetweenthesystemandtheenvironment.

Mechanicenergyincludes(workterm),(potentialenergy),(kineticenergy),and(flowworkpart)oftheenthalpyterm.

4.ExperimentontheconversionofmechanicalenergyshowninFig..

作业1.5

Waterfromthereservoirflowsthroughthepipe,whichthethroatdiameterisd.theratioofDtodequals2,theverticaldistancehbetweenthetankAandaxisofthepipeis1m.

HowmuchtheHisneededifthewateratthetankAislefttothethroatofthepipe?

Assumingthatfluidflowisapotentialflow.

作业1.8

Movingthewaterfromonecontainerintotheotherplacebymeansofapipeofconstantcross-sectionalareaisshownasinfigure.Find

(1)ThevelocityatstationA,B,C,D

(2)ThepressureatstationA,B,C,D

(3)ThemechanicalenergyinstationA,B,C

Assumingthatthewaterflowsthroughthepipewithoutfrictionlosses.

Solution:

1)towriteBernoulliequation1.3-26fromstation1tostationD

simplifying

Andgives

VD=9.9m/s

Fromcontinuityequation

VA=VB=VC=VD=9.9m/s

2)gaugepressurePD=0

writingBernoulliequationbetweenstationsc-dgives

PC=-3×

9.81×

1000=-294300Pa

Similarly

PB=1×

1000=9810Pa

PA=-4×

1000=-392400Pa

Totalmechanicalenergymaintainconstantwhenthefluidflowsfromthecontainertotheexit

5=49.05J/kg

ppt1-4

Theaveragevelocityis(0.5)timesthemaximumvelocityatthecenterforlaminarflow.

Theaveragevelocityis(0.8)timesthemaximumvelocityatcenterforturbulentflow

Themaximumvalueofthemomentumfluxoccurs(attheinterfacebetweenthefluidandthewallofsolid)foralaminarflow.

Themaximumvalueofthevelocityoccurs(atthecenterofthetube)foralaminarflowinpipe.

Inlaminarflowthevelocitydistributionwithrespecttoradiusis(parabola)withtheapexatthecenterlineofthepipe

Thepressuredropis(proportional)totheaveragevelocityforthelaminarflow

ppt1-5

•Forlaminarflow,theaveragevelocityinapipeismaximumvelocity,forturbulentflowaveragevelocityismaximumvelocity.

•Forlaminarflowinapipe,theflowrateisconstant,whendiincreases,thefrictioncoefficientwill(increse),andfrictionlosswill(reduce).

•Whenthepipeinstallationchangesfromhorizontaltoverticalpositionandthevelocitykeepsunchanged,thefrictionallosswillbeC.

A).increased;

B).decreased;

C).thesame;

D).uncertain

•Inlaminarflow,thevelocitydistributionwithrespecttoradiusis()atthecenterlineofthepipe

•Roughnesshas(noeffect)onthefrictionfactorforlaminarflowunlesskisverylarge.

•Forlaminarflow,thefrictioncoefficientisproportionaltoa(reciprocalofRe)

•Forturbulentflow,thefrictioncoefficientisafunctionofboth(roughnessandRe)

•Forcompletelyturbulentflow,thefrictioncoefficientisafunctionof(relativeroughness)

1250cm3/sofwateristobepumpedthroughasteelpipe,25mmdiameterand30mlong,totank12mhigherthanitsreservoir.Calculateapproximatelythepowerrequired.Whatpowermotor(inkW)wouldyouprovide?

Theroughnessofasteelpipewillbetakenas0.045mm;

theefficiencyofthepumpis50%

turbulentflow

frommoodyfigure

作业1.9

Liquidflowsthroughthetube,showninFig.thelengthofabequalscd,andthediameterandroughnessoftubearesame.Find:

(1)theexpressionsofΔpab/(ρg),hfab,Δpcd/(ρg)andhfcd,respectively.

(2)therelationshipbetweenreadingsR1andR2intheUtube.

两水池的水位差H=24m,l1=l3=l4=100m,d1=d2=d4=100mm,

d3=200mm,沿程阻力系数λ1=λ2=λ4=0.025,

λ3=0.02,除阀门外,忽略其他局部阻力。

(1)阀门局部阻力系数ζ=30,求管路中的流量;

(2)关闭阀门,其他条件不变,求管路中的流量。

解:

假设2、3的l相等

1)由

流量

总摩擦阻力损失

故u3=0.575m/su1=3m/sQ=0.024m3/s

2)

得u1=2.5m/sQ=0.0196m3/s

ppt1-7

●orificeandventurimetersmeasuretheaveragevelocityoftheentirestreamoffluid

●Thepitottubemeasuresthelocalvelocityoffluid.

●Rotametermustbeverticallyinstalledinthepipeline,andthefluidmustflowupwardthroughthetaperedtubeandsuspendsfreelyafloat.

vIntheorificeandventurimeter,thevariationofvelocitythrough(constant)areageneratesa(variable)pressuredrop.

vIntherotameter,thevariationofflowratethrough(variable)areageneratesa(constant)pressuredrop.

vForaorifice,nozzleandventurimeter,whentheReynoldsnumberisgreaterthancriticalRe,thenorificecoefficientCois(onlydependent)oftheReynoldsnumberforagivenβ

Sulphuricacidofspecificgravity1.3isflowingthroughapipeof50mminternaldiameter.Athin-lippedorifice,10mm,isfittedinthepipeandthedifferentialpressureshownbyamercurymanometeris10cm.Assumingthattheleadstothemanometerarefilledwiththeacid,calculate(a)theweightofacidflowingpersecond,and(b)theapproximatepressuredropcausedbytheorifice.Thecoefficientoftheorificemaybetakenas0.61,thespecificgravityofmercuryas13.6,andthedensityofwateras1000kg/m3

(a)themassflowratemisgivenby

Or,where

isapproximatelyunity,m=0.268kg/s

(b)theapproximatepressuredropcausedby(13600-1300)×

0.1=12066.3Pa

Waterflowsthroughanorificeof25mmdiametersituatedina75mmpipeattherateof300cm3/s.whatwillbethedifferenceinlevelonawatermanometerconnectedacrossthemeter?

Taketheviscosityofwateras1mNs/m2.

Thevelocityflowingthroughhole

velocityflowingpipe

theratioofarea:

m=0.11

so

Co=0.61

R=51.2mm

Wateristransportedbyapumpfromreactor,whichhas200mmHgvacuum,tothetank,inwhichthegaugepressureis0.5kgf/cm2,asshowninFig.Thetotalequivalentlengthofpipeis200mincludingalllocalfrictionalloss.Thepipelineis57×

3.5mm,theorificecoefficientofCoandorificediameterdoare0.62and25mm,respectively.Frictionalcoefficientis0.025,Find:

DevelopedheadHofpump,inm.(thereadingRofUpressuregaugeinorificemeteris168mmHg)

Pr=-200×

13.6×

9.81=-26683.2PaPt=49035Pa,

PressuredropinU

∆p=0.168×

(13600-1000)×

9.81=20765.8Pa

fromcontinuityequation:

1.6m/s

skinfrictionloss

developedhead

ppt2-1

●Ifacentrifugalpumpoperatesonair,then,itcann’tdrawliquidfromaninitiallyemptysuctionline。

●Positive-displacementpumpsarenotsubjecttoairbinding.

●Beforeacentrifugalpumpstartsup,closethevalveindischargeinotherto(reduce)thestart-uppowerrequired

●Whenthetemperatureoffluidtobetransportedincreases,themaximumliftofsuctionwill(B).Ifthevelocityofsuctionpipedecreases,themaximumsuctionliftwill(A).Iftheflowrateremainsconstantbutthediameterofsuctionpipedecreases,themaximumsuctionliftwill(B)

A)increase;

B)decrease;

C)keepthesameD)beuncertain

●Whenthesuctionpressureis(close)tothevaporpressure,thecavitationwilloccur

●Thedifferencebetweenthetheoreticalandactualcurvesresultsfrom(shockloss);

(frictionloss);

and(recirculationloss).

•Whenhigherdevelopedheadisrequired,thebestselectionis(B).

A)operationinseriesB)multistagecentrifugalpumpC)throttledbyvalve

●(×

)OnepumpcandevelopmoreHthanthattwosamepumpswhichworkinseries.

●Themethodsofadjustingvolumeflowrateofcentrifugalpumpare

(1)changesinrevolutionofpump;

(2)changeofdiameterofimpeller;

(3)adjusttheopeningof

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