Navier-Stokes' equations for radial and tangential accelerations

Details Navier-Stokes' equations for radial and tangential accelerations Navier-Stokes' equations for radial and tangential accelerations

2005-03-11

arxiv.org/abs/physics/0503094v1

Physics

Fluid Dynamics

16 pages, LaTeX. Talk, presented at the 7th International Workshop on Complex Structures and Vector Fields, 31.08.-04.09.2004,

Scientific paper

The Navier-Stokes equations are considered by the use of the method of Lagrangians with covariant derivatives (MLCD) over spaces with affine connections and metrics. It is shown that the Euler-Lagrange equations appear as sufficient conditions for the existence of solutions of the Navier-Stokes equations over (pseudo) Euclidean and (pseudo) Riemannian spaces without torsion. By means of the corresponding (n-1)+ 1 projective formalism the Navier-Stokes equations for radial and tangential accelerations are found.

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