Question
Use the mapping function $w=z^{2}$ to find the streamlines for the flow of water around the inside of a right-angle boundary. Find the velocity potential $\Phi$, the stream function $\Psi$, and the velocity $\mathbf{V}=\nabla \Phi$.
Step 1
We can express $w$ and $z$ in terms of their real and imaginary parts as $w = u + iv$ and $z = x + iy$. Show more…
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