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Mid Term 2007 - Solution

# Mid Term 2007 - Solution - NAME ID Number MAE221 Fluid...

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NAME _____________________________ ID Number__________________________ MAE221 Fluid Mechanics Mid Term Exam, 10/26/07 김문언 , 신현정 교수 Department of Mechanical Engineering, KAIST 1. You have 2 hours to finish the exam 2. You are not permitted to refer to your notes and textbooks 3. You may use a non-communicating calculator 4. Attempt all questions. 5. Identify yourself on the front cover of all answer booklets. 6. All questions are of equal weight (20 pts each). 7. STATE ALL YOUR ASSUMPTIONS! LABEL YOUR DRAWINGS! And SHOW ALL YOUR WORK! (1) _________________________ (2) _________________________ (3) _________________________ (4) _________________________ (5) _________________________ TOTAL _________________________

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NAME _____________________________ ID Number__________________________ Problem 1 (20 points) Å from homework NOTE: State ALL your assumptions in your solution for each part. State clearly which equations you used to solve this problem. air density= e e p RT A. (4 points) Draw your control volume clearly on the figure above. Indicate whether your CV is fixed, moving, or deformable. B. (3 points) State your necessary assumptions to solve this problem. C. (13 points) The small boat is driven at a steady speed o V by a jet of compressed air issuing from a 3cm-diameter hole at 320 / e Vm s = . Jet exit conditions are 5 10 e p Pa = and 30 o e TC = . Air drag is negligible, and the hull drag is 2 o kV where 22 19 / kN s m ≈⋅ . By applying momentum equation, Estimate the boat speed o V in m/s . Clearly indicate what assumptions you used to eliminate each term in the momentum equation. () ( ) ,, 2 0, 0 0 2 2 00 2 2 0 0 19 1.165 0.03 320 4 19 4 320 1.165 0.03 320 151.9 150.9 320 2.12 / xd r a g o u t xi n x out x e e e e ee e FF m m km A kA ms υ ρ υυ υυ υρ π ∑= = −= = + + =+ ⎛⎞ ⎜⎟ ⎝⎠ += = = G G ±± G ±
NAME _____________________________ ID Number__________________________ Problem 2 (15 points) A liquid jet of velocity j V and diameter j D strikes a fixed hollows cone, and deflects back a conical sheet at angle θ at the same velocity j V . Assume the deflected jet flow is all at the angle . A. (2 points) Draw your control volume clearly on the figure above. Indicate whether your CV is fixed, moving, or deformable.

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Mid Term 2007 - Solution - NAME ID Number MAE221 Fluid...

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