Determine the vorticity, Given the planar velocity field vr

Determine the vorticity

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Reference no: EM13945903

Given the planar velocity field vr = -A sin(?t) sin θ r 2 vθ = A sin(?t) cos θ r 2 , where A and ? are known constants,

1. Determine the vorticity.

2. Compute the dilatation rate ∇ · v¯.

3. Comment on the existence of velocity potential and stream function and, if they do exist, compute them.

4. Find the acceleration for points along the line θ = 0

5. Obtain the trajectories and the streamlines.

6. Determine the fluid line that at t = 0 is given by θ = 0 and 0 < r < ∞.

Reference no: EM13945903

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