Example 4. Consider an axisymmetric 2D flow with the velocity field kr 2) = k/127². u₂(r, z) = -kz and u, (r, z) = where k> 0 is a constant. a. Verify that this flow is incompressible; b. Derive its Stokes' stream function; c. Use the Stokes' function to sketch the flow streamtubes.
Example 4. Consider an axisymmetric 2D flow with the velocity field kr 2) = k/127². u₂(r, z) = -kz and u, (r, z) = where k> 0 is a constant. a. Verify that this flow is incompressible; b. Derive its Stokes' stream function; c. Use the Stokes' function to sketch the flow streamtubes.
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Transcribed Image Text:Example 4. Consider an axisymmetric 2D flow with the velocity field
u₂(r, z) = −kz and u₁(r,z)
where k> 0 is a constant.
a. Verify that this flow is incompressible;
b. Derive its Stokes' stream function;
c. Use the Stokes' function to sketch the flow streamtubes.
=
kr
2
>
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