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fall_2003_pset10

# fall_2003_pset10 - Massachusetts Institute of Technology...

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Massachusetts Institute of Technology Department of Aeronautics and Astronautics Cambridge, MA 02139 16.01/16.02 Unified Engineering I, II Fall 2003 Problem Set 10 Name: Due Date: 11/12/03 Time Spent (min) F6 F7 F8 M8 M9 M10 Study Time Announcements:

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Unified Engineering Fall 2003 Fluids Problems F6-F8 F6. Determine the streamline shapes of the follwing 2-D velocity field. y x u = v = 2 x 2 + y 2 x 2 + y Assuming the density is constant, does this ﬂow obey the mass conservation law? F7. A pipe of cross-sectional area A suddenly increases to an area of 10 A . The air velocity in the pipe is V , and the pressure at station 1 is p 1 . After undergoing mixing in the larger pipe, the velocity becomes uniform again at station 2, where the velocity is V 2 , and the pressure is p 2 . Assume the density ρ is constant everywhere (low speed ﬂow). Be sure to clearly draw the control volume you will be using. V V 2 2 p p 1 A 10 A a) Determine the velocity V 2 .
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fall_2003_pset10 - Massachusetts Institute of Technology...

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