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hw_4 - reduced due to ground effects Estimate the maximum...

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Homework set #4 MMAE 310: Spring 2007 1) Consider the flow of water in the pipe shown below. A mercury U-tube manometer is connected to the pipe in order to measure the velocity, V . a) What is the velocity of a fluid particle at point A? Explain? b) Is the pressure measured at point A a stagnation, static, dynamic or total pressure? Explain? c) Is the pressure measured at point C a stagnation, static, dynamic or total pressure? Explain? d) How are the static pressures at points B and C related? How are the total pressures at pts. B and C related? How are the stagnation pressures at pts. B and C related? How are the dynamic pressures at pts. B and C related? Explain. e) What is the velocity, V, along the centerline of the pipe? Ans: V = 11.6 ft/s. f) What assumptions have you made regarding the flow of water in the pipe? 2) Envision a storm where sustained winds of 65 mph are realized. Consider a window on one of the higher floors in a high-rise building; that is, you can assume that the wind speed is not
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Unformatted text preview: reduced due to ground effects. Estimate the maximum force acting on a 3-ft by 6-ft window facing the storm. Ans: 196 lbf H 2 O C V 3) Two Pitot-static tubes are shown. The one on the left is used to measure the velocity of air ( V A ), and is connected to an air-water manometer as shown. The one on the right is used to measure the velocity of water ( V W ),, and it too is connected to an air-water manometer as shown. If the deflection h is the same for both manometers, then one can conclude that (show your work & explain why) a) V A = V W b) V A > V W c) V A < V W 4) Consider the flow of air in the pipe shown below. a) Calculate the flow velocity in the pipe. b) What assumptions did you need to make for part a? How valid do you think they are? c) If the pressure difference between 1 and 2 had been 900 mm H 2 O instead of 8 mm H 2 O would any of the assumptions listed in part b be invalid? Explain fully. 12 mm H 2 o 20 mm H 2 o 1 water...
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