补感又机械能守恒广大用光12.已知:qv=60m/h,d=100mmd.-200mm,ha=0.2mP=1630kg/mp=1000kg/m求:(1)指示剂哪侧高,R=?(2)扩大管道改为水平放置,压差计的读数有何变化?准发解:I取A、B两个管截面列柏务利方程得丝监盈堂2?pPP(ui-u).0=9-8-260/3600qv=2.12(m/s)UA=0.785x0.12fa60/3600qv=0.53(m/s)UB0.785x0.22-dAA3=1000×(0.53-2.12)/2=-2107N/m):.3<3因而ARg(P-P)指示液界面左高右低。2107R-AOA=0.34m-340(mm)(p,-p)(1630-1000)x981(2)若改为水平放置后,由于uu不变,则A决也不变,由△-Rg(P-)MEXR值也不变,即压差计指示的是总势能差,TCIXATEY13.已知:d-200mm,R=25mm,p,-1000kg/m,p-1.2kg/m。9P-P)求:q(m/h)0018=F1×00解:列1-2两截面伯努利方程
Pi+gz.+uPu2p2PP,-P,z-Zu,=0ap-P=Bus2由U形压差计,P,P,-Rg(P.-P)(忽略空气柱)2Rg(p-p)2x0.025x9.81x(1000-1.2)-20.2m/swu1.2P1元d/=20.2×0.785×0.2=0.634m/s=2284(m2/h)qy=uz14.已知:H=0.8m,h-0.6m,D=0.6m,d-10mm,Co=0.62求:液面下降0.5m所需的时间。大气解:列1-2截面伯努利方程,小孔中心处为基准面++号一++学2P2O7P-PP,z-0z=H-h-0.8-0.6=0.2m,u,=0u,=2g(H-h)=V2x9.81x0.2=1.98(m/s)40.6小孔实际流速u.-Cu-0.62×1.98-1.23m/s:液面下降0.5mh=0.6m·液体下降过程中小孔流速不变"D×0.50.6x0.5.4T:=1463(s)=0.406(br)团ndxue0.01x1.23415.已知:g-3.77×10m/s,d=40mm,D-80mm,R=170mm,p=1000kg/m求H(J/N)解:列1-2截面的柏努利方程
aSP22pp3.77×10qv3.00(m/s)10.785x0.042nd3.77×10-3qv0.75(m/s)u0.785×0.08TD40000-18.0×230-9-Rg(p-P)).h2Pl0,17x9.81×(10001.29)(3-0.75)10002=2.55J/kgs-h0mad0u铺的喜带0装面名2.55ha=0.26J/NH=981名小中小球课由宝辣刷馆Y16.已知:30℃(水).d=20mm.d=36mm,不计h求:P位置,是香汽化?鲜:查30C水,P=4241N/m881=50x从1截面到2截面列柏务利方程+P+g+UB+g+2P2PP-P-P.u=0,取z-0u,=/2gz/=V2x9.81xl=4.43(m/s)再从1截面到任一截面(在1-2之间)列柏努利方程,则:P.+_P824+g222pux中田u,=0GAHSPP=[Cgz+10-(zg+#大用香的丽#!风2P8
SAKELP+为最大时,P-Pm试用办费来汇带意送P为定值,当2g+2O研航面代生以购男清U显然细管中u最大,在细管最上端,)可望达到最大。4-9(zg+2RUCd36x443=1435(m/s)zz-0.5m,u14850206店00nPuAP=P+(z-z)pg创心入1000=1.013×10+(1-0.5)×1000×9.81x14.353t00-0x10110-92=3244(N/m)kauoP<P(424IN/m)(UO)RPAAT在该处将发生汽化现象,000rxas1x01x0XKOLXS17.已知:P,(PP),A,Ah不计求:u.u表达式大补盘灵材面我财代育解:由1至2截面列柏努利方程?P品Pu(A)PuP格22A2PPp购AP-P童你快用2puo3g2(P-P)出市用快限货人人大片得U=APA-A)0-004-9折ALu2(P-P)冰代保视的演同报公面营列AU,A.NPA-A)动量守恒大18.已知:P-P,g0.025m/s,d-80mmd-40mmP(表)=0.8MPa
p=1000kg/m达求:水流对喷嘴的作用力(N)解:设F为喷嘴对控制体的作用力,则由动量守恒得PA-F-PAqp(u-u)90.0250.025u,=y5.02x10-4.98(m/s)d10.785×0.08AL0.0250.025u,-qv1.26×10-=19.9(m/s)0.785x0.042A.Rx0001x(0-0+01XE101P=0.8x10°+1.013×10=9.013×10(N/m)CmMotrP,=1.013x10(N/m)mp)9>y.F-P,A-P,A-q.p(u-u)-9.013X105×5.02X10-1.013X10X126X10--0.025×1000×(19.9-4.98)=4.02X10N不919.已知:流体突然扩大,有阻力损失[1-A】U求证:h=EA.2证:假定F-P(A-A).忽略管壁摩擦阻力定态流动下有动量守恒方程:PA,-P,A,+E=pAu,-PAu代入F-P(A-A)及质量守恒方程PuAPuAAA整理得PP=pu(u-u)取1-1截面至2-2截面列柏努利方程热ui+h+.+g.+++22pp武区:2-2,代入得:品品u-u(u-u,)h-P-P..01-98222p10