流体力学课后作业.doc

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1、1.1Apressureof2´106N/m2isappliedtoamassofwaterthatinitiallyfilleda1,000cm3volume.Estimateitsvolumeafterthepressureisapplied.将2´106N/m2的压强施加于初始体积为1,000cm3的水上，计算加压后水的体积。(999.1cm3)1.2AsshowninFig.1-9,inaheatingsystemthereisadilatationwatertank.Thewholevolumeofthewaterinthesystemis8m3.Thelargesttem

2、peratureriseis500Candthecoefficientofvolumeexpansionisav=0.00051/K,whatisthesmallestcubageofthewaterbank?如图1-10所示，一采暖系统在顶部设一膨胀水箱，系统内的水总体积为8m3，最大温升500C，膨胀系数av=0.0051/K，求该水箱的最小容积？(0.2m3)Fig.1-9Problem1.21.3Whentheincrementofpressureis50kPa,thedensityofacertainliquidis0.02%.Findthebulkmodulusofthe

3、liquid.当压强增量为50kPa时，某种液体的密度增加0.02%。求该液体的体积模量。(2.5´108Pa)1.4Fig.1-10showsthecross-sectionofanoiltank,itsdimensionsarelengtha=0.6m,widthb=0.4m,heightH=0.5m.Thediameterofnozzleisd=0.05m,heighth=0.08m.Oilfillstotheupperedgeofthetank,find:(1)Ifonlythethermalexpansioncoefficientav=6.5´10-41/Koftheoil

4、tankisconsidered,whatisthevolumeFig.1-10Problem1.4ofoilspilledfromthetankwhenthetemperatureofoilincreasesfromt1=-200Ctot2=200C?(2)Ifthelinearexpansioncoefficiental=1.2´10-51/Koftheoiltankisconsidered,whatistheresultinthiscase?图1-10为一油箱横截面，其尺寸为长a=0.6m、宽b=0.4m、高H=0.5m，油嘴直径d=0.05m，高h=0.08m。由装到齐油箱的

5、上壁，求：(1)如果只考虑油液的热膨胀系数av=6.5´10-41/K时，油液从t1=-200C上升到t2=200C时，油箱中有多少体积的油溢出？(2)如果还考虑油箱的线膨胀系数al=1.2´10-51/K，这时的情况如何？((1)2.492´10-3m3(2)2.32´10-3m3)1.5Ametallicsleeveglidesdownbyselfweight,asshowninFig.1-11.Oilofn=3´10-5m2/sandr=850kg/m3fillsbetweenthesleeveandspindle.TheinnerdiameterofthesleeveisD=

6、102mm,theouterdiameterofthespindleisd=100mm,sleevelengthisL=250mm,itsweightis100N.Findthemaximumvelocitywhenthesleeveglidesdownfreely(neglectairresistance).Fig.1-11Problem1.5有一金属套由于自重沿垂直轴下滑，如图1-11所示。轴与套间充满了n=3´10-5m2/s、r=850kg/m3的油液。套的内径D=102mm，轴的外径d=100mm，套长L=250mm，套重100N。试求套筒自由下滑时的最大速度为多少(不计空

7、气阻力)。(50m/s)1.6Thevelocitydistributionforflowofkeroseneat200C(m=4´10-3N·s/m2)betweentwowallsisgivenbyu=1000y(0.01-y)m/s,whereyismeasuredinmetersandthespacingbetweenthewallsis1cm.Plotthevelocitydistributionanddeterminetheshearstres