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研究所、轉學考(插大)-流體力學
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110年 - 110 國立臺灣大學_碩士班招生考試_海洋所物理與化學與地物組(3組聯招):流體力學(H)#100948
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題組內容
1. Mass conservation (20 points)
(a) Write down the statement of mass conservation (i.e. the continuity equation) for fluid flow and explain the physical meaning of each terms. (6 points)
其他申論題
1.(2%)降E小和小音中的下中音,可以是什麼大調的下屬音?
#423060
2.(2%)E 小調中VlI級的附屬屬七和弦分別為哪個音?(需全部正確才給分)
#423061
3.(3%)請指出上面第一大题的譜例第1小節内的各個和聲外音分別為哪一種?(需註明拍位、音高 及和聲外音種類方能給分;答錯倒扣)
#423062
4.(2%)下方譜例中，第三行是給Clarinetti inA 的譜,請問其在第一小節中吹奏出来的音高分別為何?(需全部正確才給分)
#423063
(b) If the fluid of interest is nearly incompressible, the mass conservation in (a) can be simplified. Write down this simplified equation, provide justifications for your simplification, and explain the physical meaning. (7 points)
#423065
(c) Consider a steady, incom npressible, three-dimensional flow. The x and z velocity components are given by u = ax2+by2+cz2 and w= e axz + byz2, where a, b, c are constants. Find the y velocity component (v) as a function of x, y, and z. (7 points)
#423066
(a) What is the Newtonian fluid? (5 points)
#423067
(b) Write down the differential form of momentum conservation (i.e. the Navier- Stokes equation) for incompressible flows. Interpret the physical meaning of each terms. (9 points)
#423068
(c) What is the Reynolds number? Interpret its physical meaning and its significance in characterizing flow properties. (6 points)
#423069
(d) Consider a fully developed pipe flow, describe the differences in time-mean velocity structure (e.g. velocity across the pipe) between laminar and turbulent flow regimes. (5 points)
#423070
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