TAMU MEEN 344 - Practice Midterm II - Solutions (5 pages)

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Practice Midterm II - Solutions

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Practice Midterm II - Solutions

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5
School:
Texas A&M University
Course:
Meen 344 - Fluid Mechanics
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1 Two water jets of equal size and speed strike each other as shown in figure Determine the speed V and direction of the resulting combined jet Gravity is negligible V 3 m s 0 03 m sh is ar stu ed d vi y re aC s o ou urc rs e eH w er as o co m 0 03 m Linear momentum equation along the x direction for the control volume shown above 1 Linear momentum equation along the y direction for the control volume shown above 2 Conservation of mass 3 From Eqs 1 and 2 Th Combining Eqs 2 and 3 https www coursehero com file 7363601 Practice Midterm II Solutions where sh is ar stu ed d vi y re aC s o ou urc rs e eH w er as o co m 2 The pump shown in figure adds 20 kW of power to the flowing water The only loss is that which occurs across the filter at the inlet of the pump Determine the head loss for this filter z1 z2 P1 20 kPa P2 0 and Also Th Thus Eq 1 becomes https www coursehero com file 7363601 Practice Midterm II Solutions 6 37 m s 40 8 m 25 5 m s 3 The velocity potential for a certain inviscid flow field is where has the unit of m2 s when x and y are in meters Please determine the pressure difference in kPa between the points 0 3 0 6 and 1 2 1 2 where the coordinates are in meters Please note that the fluid is water and the elevation changes are negligible Since the flow is irrotational sh is ar stu ed d vi y re aC s o ou urc rs e eH w er as o co m 1 At x 0 3 m and y 0 6 m so that and At x 1 2 m and y 1 2 m So that Thus from Eq 1 Th https www coursehero com file 7363601 Practice Midterm II Solutions 4 A thin layer of an incompressible fluid flows steadily over a horizontal smooth plate as shown in figure Free surface y h d V sh is ar stu ed d vi y re aC s o ou urc rs e eH w er as o co m The fluid surface is open to the atmosphere and an obstruction having a square cross section is placed on the plate as shown A model with a length scale of and a fluid density scale of 1 0 is to be designed to predict the depth of fluid y along the plate Assume that inertial gravitational surface tension and viscous effects are all important What are the required viscosity and surface tension scales A fluid dynamics problem for which inertial gravitational surface tension and viscous effects are all important requires Froude Reynolds and Weber number similarity Froude number similarity with g gm follows that Th For Reynolds number similarity So that https www coursehero com file 7363601 Practice Midterm II Solutions For Weber number similarity Hence Th sh is ar stu ed d vi y re aC s o ou urc rs e eH w er as o co m https www coursehero com file 7363601 Practice Midterm II Solutions Powered by TCPDF www tcpdf org

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