FluidsII_final-07

# FluidsII_final-07 - 530.328 Fluid Mechanics II 2007 Final...

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530.328 - Fluid Mechanics II, 2007 Final Exam Closed books, closed notes. Each problem has the same weight. Time: 35 minutes or less. Develop your answers on the available place. (33%) NAME: .................. ……… .... 1. A rough pipe is connected to a pressurized vessel (gauge pressure p) as shown. The viscous water flow exits to atmospheric pressure at speed V below the water level at height h. About the speed V, which of these statements is TRUE? (a) The speed V is larger than 2( p ! p atm ) / " + 2 gh . (b) The speed V is smaller than 2( p ! p atm ) / " + 2 gh . (c) The speed V is equal to 2( p ! p atm ) / " + 2 gh . (d) Cannot say (e) The velocity is smaller than ( p ! p atm ) / h + 2 " h . 2. A pipe divides into two as shown, each arm discharging to atmospheric pressure. The flow rate at the entrance is Q 0 . All pipe segments have the same length, diameter and roughness. Which of the following statements is FALSE? (a) Q 1 =Q 2 (b) p M -p N < p N -p atm (c) p N <p M (d) p M -p N > p N -p atm (e) Q 2 =Q 0 /2 3. A Pelton wheel deflects a water jet at 180 degrees as shown. Evaluate the reaction torque T z applied at the support S. p h V p atm Q 2 Q 1 Q 0 p atm M N S H H/3 V, A, ρ V, A, ρ x y z

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4. The Concorde used to fly at supersonic speeds. From the figure below showing the Mach cone, estimate the Mach cone angle θ assuming standard atmospheric conditions everywhere. 5. Why is oil generally considered to be a better lubricant than water? (a) Because as a side-product of gasoline refining process it is cheaper. (b) Because it increases the shear stresses needed to slide surfaces along each other.
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