課程名稱︰流體力學
課程性質︰土木系必修
課程教師︰詹益齊
開課學院：工學院
開課系所︰土木系
考試日期（年月日）︰2018/4/24
考試時限（分鐘）：10:30~13:00 共150分鐘
不得攜帶計算機 考試期間可上洗手間，同時間最多一個
試題 :
試題說明
1.共四頁 (前兩頁為試題，後兩頁為附圖)
2.請依序回答所有問題
3.各題占分比重標示於[]內
4.請說明各項假設條件並詳列解題過程

問題1 [5%]
The temperature-dependence of gas viscosity can be approximated by
μ(T) = CT^(3/2)/(T+S)
where μ is the dynamic viscosity, T the absolute temperature, C and S two
empirical constants. For liquids, an exponential model has been proposed
ν(T) = De^(B/T)
where ν is the kinematic viscosity, B and D two empirical parameters.
Determine the dimensions of C and D.
問題2[5%]
Consider the rise of water level in a clean glass tube due to surface tension
as in Fig. 2. If pi denotes the pressure right above the meniscus and pe the
pressure right below the meniscus, find the pressure jump across the surface,
i.e. pi - pe, in terms of the specific weight of water γ, the radius of the
tube R, and the value of the surface tension σ.
問題3[10%]
A suction cup is used to support a plate of weight W as is shown in Fig. 3.
Find W in terms of the acceleration of gravity g, the density of water ρ, the
plate radius R, the cup radius d, and two readings H and h.
問題4[15%]
As shown in Fig.4, a right-angle gate witht negligible mass is free to pivot
about a frictionless hinge at point O. The horizontalportion of the gate
covers a drain pipe of diameter D, which contains air at atmospheric pressure.
Determine the minimum water depth, h, at which the gate will pivot to allow
water to flow into the pipe.
問題5[10%]
A tank of cross-sectional area A is filled with a liquid of specfic weight γ1
as in Fig. 5. Determine the liquid level rises, i.e. Δh, when a cylinder of
specific weight γ2 and volume -V- is floated in the liquid.
問題6[10%]
A cylindrical mass M is connected to a rectangular gate with a width b as
shown in Fig. 6. The gate is to open when the water level h drops below 0.5H.
Determine the required M. Neglect friction at the gate hinge and the pulley.
問題7[10%]
Water is siphoned from the tank through a hose of constant diameter. A small
hole is found in the hose as indicated in Fig. 7. Will water leak out of the
hose or will air leak into the hose? Use the concept of energy line and
hydralic grade line to support your answer.
問題8[15%]
As shown in Fig. 8, water from a large reservoir flows through a siphon of
diameter D and into a tank. It exits from a hole in the bottom of the tank as
a stream of diameter d. The surface of the reservior remains H above the
bottom of the tank. For steady-state conditions, the water depth in the tank,
h, is constant. Determine the depth ratio h/H as a function of the diameter
ratio d/D.
問題9[20%]
Consider flow of a liquid from a large tank as in Fig. 9. A jet of liquid of
diameter d flows from the nozzle with velocity V.
(a)Find the pressure at the middle point of the nozzle exit as indicated in
the figure.
(b)To estimate the time required to empty the tank, derive an equation for the
depth in the tank, H(t).
(c)Calculate the time required to empty the tank if the initial depth is H0.
[試題結束]

樓上 學店有什麼好炫耀的= =？http://i.imgur.com/iENN6F6.jpg幹 網址斷了 原po有空幫處理喇

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幫你喇幹 這三小廢圖

樓上真的造孽