Fluids – Lecture 12 Notes - MIT
If we attempt to compute the vorticity of the potential-derived velocity field by taking its curl, we find that the vorticity vector is identically zero. For example, for the vorticity x-component we find ξx ≡ ∂w ∂y − ∂v ∂z = ∂ ∂y ∂φ ∂z − ∂ ∂z ∂φ ∂y = ∂2φ ∂y∂z − ∂2φ ∂z∂y = 0
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