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流体力学课后作业流体力学课后作业
1.1 A pressure of 2(106N/m2 is applied to a mass of water that initially filled a 1,000cm3 volume. Estimate its volume after the pressure is applied.
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)
1.2 As shown in Fig.1-9, in a heating system there is a dilatation water tank. The whole volume of the water in the system is 8m3. The largest temperature rise is 500C and the coefficient of volume expansion is (v=0.0005 1/K, what is the smallest cubage of the water bank?
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(v=0.005 1/K,求该水箱的最小容积?(0.2m3) Fig. 1-9 Problem 1.2
1.3 When the increment of pressure is 50kPa, the density of a certain liquid is 0.02%. Find the bulk modulus of the 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)
1.4 Fig.1-10 shows the cross-section of an oil tank, its dimensions are length a=0.6m, width b=0.4m, height H=0.5m. The diameter of nozzle is d=0.05m, height h=0.08m. Oil fills to the upper edge of the tank, find:
If only the thermal expansion coefficient (v=6.5(10-41/K of the oil tank is considered, what is the volume Fig.1-10 Problem 1.4
of oil spilled from the tank when the temperature of oil increases from t1=-200C to t2=200C?
If the linear expansion coefficient (l=1.2(10-51/K of the oil tank is considered, what is the result in this case?
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。由装到齐油箱的上壁,求:
如果只考虑油液的热膨胀系数(v=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?
如果还考虑油箱的线膨胀系数(l=1.2(10-51/K,这时的情况如何?
((1)2.492(10-3m3 (2)2.32(10-3m3)
1.5 A metallic sleeve glides down by self weight, as shown in Fig. 1-11. Oil of (=3(10-5m2/s and (=850kg/m3 fills between the sleeve and spindle. The inner diameter of the sleeve is D=102mm, the outer diameter of the spindle is d=100mm, sleeve length is L=250mm, its weight is 100N. Find the maximum velocity when the sleeve glides down freely (neglect air resistance).
Fig.
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