The radial component of velocity in an incompressible two-dimensional flow is given by (V_{r}=3 r-2 r^{2} cos

Question:

The radial component of velocity in an incompressible two-dimensional flow is given by $V_{r}=3 r-2 r^{2} \cos (\theta)$. Determine the general expression for the $\theta$ component of velocity. If the flow were unsteady, what would be the expression for the $\theta$ component?

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