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.
I., 1978 Mathematical Methods of Classical Mechanics, Springer
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
physics.flu-dyn 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.