v2v2Lv264Lv2所以h??hf??? ?(1?)2g2gd2gRed2g6450.014152?(1??)??0.09617m ?35.666?102?9.816-17
解:在两容器液面处列伯努力方程:
Lv2,所以有 0?0?H?0?0?0?hw,hw?hf?hj?(???1??2)d2gLv230v2H?hw?(???1??2)?(??0.5?1)?3,即 ?2d2g30?102g(100??1.5)v2?6?9.81?58.86,
假设流动处于层流,则??式得:(1006464?64?0.0690.0184???,代入上?2Redv?30?10?800?vv0.0184?1.5)v2?58.86,求解得:v?5.6808m?s?1 v30?10?2?5.6808?800则相应的雷诺数为Re???19759.3?2320,为湍
?0.069dv?流,由于管子为光管,则??0.31640.3164??0.02669, 0.250.25Re19759.3所以代入式(100??1.5)v2?6?9.81?58.86,可求出
v?58.86?3.757m?s?1
100?0.02669?1.5dv?30?10?2?3.757?800则其相应的雷诺数为Re?为湍??13067.8?2320,
?0.069流,由于管子为光管,则??0.31640.3164??0.029593,所以代入式Re0.2513067.80.25(100??1.5)v2?6?9.81?58.86,可求出
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v?58.86?3.633m?s?1
100?0.029593?1.5dv?30?10?2?3.633?800则其相应的雷诺数为Re?为湍??12636.5?2320,
?0.069流,由于管子为光管,则??0.31640.3164??0.029842,所以代入式Re0.2512636.50.25(100??1.5)v2?6?9.81?58.86,可求出 v?58.86?3.623m?s?1
100?0.029842?1.5dv?30?10?2?3.623?800则其相应的雷诺数为Re?为湍??12601.7?2320,
?0.069流,由于管子为光管,则??0.31640.3164??0.029863,所以代入式Re0.2512601.70.25(100??1.5)v2?6?9.81?58.86,可求出 v?58.86?3.622m?s?1
100?0.029863?1.5所以,管中的流速为v?3.622m?s?1,所以管中的体积流量为
qv??d24v???(30?10?2)2?3.6224?0.2560m3?s?1
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