Unformatted text preview: thickness (no velocity perpendicular to the plate) flows steadily down an infinite, inclined plane. Obtain, using the NavierStokes equations, an expression for the flow rate per unit width in terms of , g, h, and . Assume air resistance is negligible, so that the shear stress ( yx ) at the free surface is zero. The flow is laminar. Problem 5: The three components of velocity in a flowfield are given by: u = x 2 + y 2 + z 2 , v = xy + yz + z 2 , w =  3xz  z 2 /2 + 4 . Determine an expression for the angular velocity (rotation) vector, and find the vorticity. Is this an irrotational flow field? Problem 6: Determine the stream function corresponding to the velocity potential: = x 3 – 3xy 2 . Sketch the streamline = 0, which passes through the origin. Problem 7: Solve Problem 4.83 of the textbook....
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 Spring '08
 Seshadri,K
 Fluid Dynamics, #, 20 m/s, twodimensional velocity field, Center Hall, 6 kPa

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