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ME_320_F2011_HW5 - velocity profile u/U max =1-y 2/h 2 in...

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h h y S. Yavuzkurt ME 320 2&3 Oct. 7, 2011 Fall 2011 DUE: OCT. 14, IN CLASS HW# 5 Show all assumptions, derivations, integrals and calculations c=17.2 cm Open to atmosphere d=50 cm Oil Kg/m 3 m 2 /s g=9.8 m/s 2 Very Large Container H= 1m b= 10 m u/U max =1-y 2 /h 2 Boundary Layers Mercury m =13,600 Kg/m 3 Fully Developed Channel Flow 2h=10 cm A B C D L 1 =1 m L 2 =1 m L 3 = 1 m 311 KW PUMP Oil with density Kg/m 3 and kinematic viscosity m 2 /s is being pumped down from a large container through the channel shown in the figure. The channel dimensions are 10cmx10 m . Flow in the large container and outside the boundary layers can be considered frictionless. Boundary layers exist in the channel from point A to B. Flow from point B to D is fully developed and laminar with a
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Unformatted text preview: velocity profile u/U max =1-y 2 /h 2 in the coordinate system shown. Static pressure at point B is being measured by the U-tube manometer shown in the figure. a. What is the gage pressure P B (N/m 2 ) at point B? b. If P B =-27,334 N/m 2 gage what is the average velocity V(m/s) in the channel? c. If V=6.67 m/s, what is the drag force on the channel walls from point A to B? d. If V=6.67 m/s what is the drag force on the side walls of the channel in the fully developed section from point B to C? e. What are the losses in Watts in the fully developed part of the flow from point B to D if the pump delivers 311 KW of power to the oil? x...
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