Unformatted text preview: thickness (no velocity perpendicular to the plate) flows steadily down an infinite, inclined plane. Obtain, using the Navier-Stokes 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
- Fluid Dynamics, #, 20 m/s, two-dimensional velocity field, Center Hall, 6 kPa