CIVL315-2012 Quiz4

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CIVL 315 DEPARTMENT OF CIVIL ENGINEERING November 2, 2012 CIVL 315: FLUID MECHANICS II Quiz #4 You have 40 minutes to complete this quiz. The quiz is closed book, a calculator is allowed. Indicate your answers on the scantron sheet provided with your booklet. Remember to write your name and student number on your scantron sheets. You MUST use a pencil , otherwise the machine cannot process your answers and you will end up with a ZERO mark. CANDIDATE'S NAME: (Please print) STUDENT NUMBER:
CIVL 315 Momentum Principle and its applications in Fluid Mechanics The 4-in-diameter water jet with a velocity of 40 m/s impinges on a single vane moving in the same direction (thus Fx = Fu ) at a velocity of 24 m/s. Q1. If β 2 = 160 o and the friction losses over the vane make v 2 = 0.8 v 1 , the value of V 2x is: A. 10 m/s B. 11 m/s C. 12 m/s D. 13 m/s Q2. The value of V 2y is: A. 3.26 m/s B. -3.26 m/s C. 4.38 m/s D. -4.38 m/s Q3. The angle of V 2 from x-axis is A. -20 o B. 20 o C. -25 o D. 25 o Q4. What is the net force the water exerts on a single vane? A. 9.18 kN @ 8.9 o B. 3.684 kN @ 8.9 o C. 9.18 kN @ 8.9 o D. 3.684 kN @ 8.9 o 40 24 24 160 o
CIVL 315 Q5. If this vane were one of a series of vanes, what is the value of the horsepower transferred to the vanes? (note: calculate this by using so-called “imperial horse power” which is 1 hp = 746 W: commonly used to measure electric motor powers) A. 292 hp B. 153 hp C. 306 hp D. 30.6 hp Q6. For the case in Q5, what is the value of the horsepower of water leaving the system? A. 3.31 hp B. 3.53 hp C. 33.1 hp D. 35.3 hp Q7. The horsepower loss due to friction is: A. 10 hp B. 20 hp C. 30 hp D. 40 hp Q8. The efficiency of this system is: A. 82% B. 84% C. 86% D. 88%
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CIVL 315 A pipe bend tapers from a diameter of D 1 of 500 mm at inlet to a diameter of D 2 of 250 mm at outlet and turns the flow through an angle of 45 degree (forward). Measurements of pressure at the inlet and outlet show that the pressure p 1 at the inlet is 40 kPa and pressure p 2 at outlet is 23 kPa. If the pipe is conveying oil which has a density of 850 kg/m 3 and oil flow is 0.45 m 3 /s. Note that the bend is in horizontal plane. Q9. The magnitude of the resultant force on the bend is: A. 7.22 kN B. 6.36 kN C. 21.6 kN D. 3.68 kN Q10. The direction of the resultant force on the bend (in degree from x-axis which is the direction of inlet flow) is: A. 59 o B. 45 o C. 31 o D. 239 o

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