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110年 - 110 國立臺灣大學_碩士班招生考試_應用力學研究所乙組:流體力學(A)#100922

科目：研究所、轉學考(插大)-流體力學 | 年份：110年 | 選擇題數：0 | 申論題數：13

試卷資訊

所屬科目：研究所、轉學考(插大)-流體力學

選擇題 (0)

申論題 (13)

(a) (5%) Calculate the velocity U3 (m/s) at section 3.
(b) (5%) Calculate the momentum change rate (kg-m/s2) betwecn sections 1 and 3.
(c) (5%) Calculate the total wall shear force (N) betwcen scctions I and 3.
(d) (10%) Calculate the pressure p3 (kPa) at section 3. 
(a) (15%) Find a general expression for the fluid acceleration du'dt in the nozzle.
(b) (10%) For the specific case V0 =10 fus and L-=6 in, calculate the fluid acceleration (ft/s2) at the entrance (5%) and at the exit (5%).
(1) (10%) What are the velocities at the lower (V1) and upper (V2) ends of the jet stream on the block? Explain your answer.
(2) (5%) If there is no friction between the block and the sloping wall, what are the water depths at the lower (h1) and upper (h2) ends of the jet stream on the block?

(3) (10%) What is your answer in (2) if there is a frictional force with the coeficient of friction μ between the block's bottom and the sloping wall?
(1) (5%) What are the velocity profiles looked like at A and C? (You only have to plot schematically. You will be asked to find the mathematical expression later on.)

(2) (5%) With fluid viscosity μ, write down the n entum cquations at points A and C.

(3) (10%) What is the flow rate ratio between A and C?613067249ff44.jpg
(4) (5%) What are the velocity profiles u(y) at A and C? (Your final answer will contain only Q, W, and y.)