Exam1_Review_problems - 10/04/2009 Midterm 1 Review...

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10/04/2009 Midterm 1 Review problems 057:020 Fall 2009 1. Shear stress A fluid is placed in the area between two parallel plates. The upper plate is movable and connected to a weight by a cable as shown in Figure 1.6. Calculate the velocity of the plate. Assume the fluid to be water, m = 0.002 kg, Δ y = 5 mm, g =9.81 m/s 2 , and the area of contact A =0.5 m 2 . Assume that steady state is achieved. 2. Hydrostatic pressure on a plane surface A tank of oil has a right-triangular panel near the bottom, as in Fig. E2.6. Omitting p a , find the (a) hydrostatic force and (b) CP on the panel. 3. Bernoulli equation Consider water flow through an enlargement placed in a circular duct (Figure 3.22). A manometer is placed in the line and used to measure the pressure difference across the expansion. For the dimensions given, calculate the volume rate of flow in the pipe. Take the manometer fluid to be mercury.
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Unformatted text preview: 10/04/2009 Midterm 1 Review problems 057:020 Fall 2009 4. Fluid kinematics A two-dimensional velocity field is given by V = ( x 2-y 2 +x ) i -( 2xy+y ) j in arbitrary units. At ( x, y ) =(1, 2), compute (a) the accelerations a x and a y , (b) the velocity component in the direction θ =40 ˚ , (c) the direction of the maximum velocity, and (d) the direction of maximum acceleration. 10/04/2009 Midterm 1 Review problems 057:020 Fall 2009 Solutions: 1. Shear Stress For water, μ = 0.89×10-3 N·s/m 2 . Force applied: mg M = = 0.002×9.81=0.0196 N. Shear stress: A M = τ = 0.0196 π 0.5=0.04 N/m 2 Applying Newton’s law of viscosity: y V y V dy dV Δ = Δ Δ = = μ ï 3 10 89 . 005 . 04 . − × × = Δ = y V =0.225 m/s 2. Hydrostatic pressure on a plane surface 10/04/2009 Midterm 1 Review problems 057:020 Fall 2009 3. Bernoulli equation 4. Fluid kinematics...
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This note was uploaded on 12/08/2011 for the course MECHANICS 57:020 taught by Professor Fredrickstern during the Fall '10 term at University of Iowa.

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Exam1_Review_problems - 10/04/2009 Midterm 1 Review...

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