ME_320_F2011_HW3

ME_320_F2011_HW3 - B (N/m 2 ) at point B? b. If P B = 4900...

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S. Yavuzkurt ME 320 2&3 Sept. 16, 2011 Fall 2011 HW# 3 IT WILL NOT BE COLLECTED, SOLUTION WILL BE AVAILABLE ON ANGEL SEPT. 19 Show all assumptions, derivations, integrals and calculations Oil from a large reservoir is flowing steadily through the channel shown in the figure. From point B to C boundary layers grow. We will assume that boundary layers merge at point C after which the flow is fully developed. The velocity profile in the fully developed region is given by u/U max = 1-y 2 /c 2 . Areas at A and D are open to the atmosphere. a. What is the gage pressure P
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Unformatted text preview: B (N/m 2 ) at point B? b. If P B = 4900 n/m 2 , what is the average velocity V(m/s) in the channel? c. If V=2.95 m/s, what is the maximum velocity U max in the fully-developed part of the flow? d. What is the total drag force on top and bottom walls in the fully developed part of the flow if the channel width is b=5 m? H=1 m Oil =900 Kg/m 3 =0.001 m 2 /s y c= 5 cm L=1 m u/U max =1-y 2 /c 2 A B C D g=9.8 m/s 2 Boundary layers Large Reservoir c= 5 cm h=5 cm a=10cm m =13,600 Kg/m 3 x Uniform Velocity Profile...
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