An exact velocity field solution is derived for steady toroidal vortices with arbitrary elliptical cross-sections by transforming to invariant-set coordinates that simplify the continuity equation via the metric tensor.
Quarterly of Applied Mathematics 19, pp
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Velocity field within a vortex ring with a large elliptical cross section
An exact velocity field solution is derived for steady toroidal vortices with arbitrary elliptical cross-sections by transforming to invariant-set coordinates that simplify the continuity equation via the metric tensor.