How to make the flow to satisfy continuity


Solve the below problem:

Q: An incompressible flow field has the cylinder components υθ = Cr, υ z = K (R2 - r2), Υr = 0, where C and K are constants and r ≤ R, z ≤ L. Does this flow satisfy continuity? What might it represent physically?

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Mechanical Engineering: How to make the flow to satisfy continuity
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