[試題] 99下 顏瑞和 流體力學 第一次期中考
課程名稱︰流體力學
課程性質︰系必修
課程教師︰顏瑞和
開課學院：工學院
開課系所︰機械系
考試日期（年月日）︰2011/3/25
考試時限（分鐘）：120
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1. The velocity field is u=2x, v=0, w=0.
(a) Find the path line as function of time for the particle A, which is
located at x=1 when t=0.
(b) Compute the acceleration of particle A at t=2 by the Lagrangian method.
(c) Compute the acceleration of particle A at t=2 by the Eulerian method.
(20%)
2. A container partially filled with a liquid. The container is moving from
left to right on a straight horizontal path with a constant acceleration.
Please draw three constant pressure lines and indicate the line with the
largest value of pressure. Explain why.(20%)
3. For the geometry shown, what are the vertical and horizontal forces on the
dam. The steps are 0.3m high, 0.3m deep, and 3m wide. (20%)
╴╴╴╴╴╴╴╴╴╴╴
╴｜
｜
Water ｜￣
｜￣
｜￣ Dam
———————————
4. What are the physical meanings of du/dx, dv/dy, dw/dz and ▽‧V, where
V = ui + vj + wk is the fluid velocuty. (從一流體元素的運動變形開始推導
其變形量，然後才能解釋。) (25%)
5. 解釋名詞 (15%)
(a) Viscosity coefficient
(b) No slip condition
(c) Stream line
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