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Unformatted text preview: 10/04/2009 Midterm 1 Review problems 057:020 Fall 2009 4. Fluid kinematics A twodimensional velocity field is given by V = ( x 2y 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 = 0.89×103 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.
 Fall '10
 FredrickStern

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