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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