Question: 1 . Prove that ( vec { V } = abla phi ) and state the assumption for this equality (

1. Prove that \(\vec{V}=
abla \phi \) and state the assumption for this equality (rotational vs. irrotational flow).
2. Is the stream function \(\psi \) only applicable to irrotational flow?
3. Is the potential function \(\phi \) only applicable to irrotational flow? Why?
4. Show that for irrotational flow, the stream function \(\psi \) satisfies Laplace's equation.
5. Consider a source of strength \( m \) located at \( z=-b \) and a sink of strength \( m \) located at \( z=b \). Write down the complex potential for the resulting flow field.
1 . Prove that \ ( \ vec { V } = abla \ phi \ )

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