Eddy flow as an exact solution of a statistical vortex equation or the NavierStokes equations
Abstract
An eddy with spiral streamlines without restrictions is extended to infinity. In a selfconsistent flow field the streamlines are limited by interactions between all vortices. Each streamline is finished with a maximum limiting radius, where another solution is beginning. In an analogous solution of the NavierStokes equations such limiting diameters may only be realized by exterior boundary conditions. Referring to an element of turbulence, if regarded as a finite formation with spiral streamlines, the problem arises to transmit the statistical limiting property to the solution of the hydrodynamical equations of motion.
 Publication:

Zeitschrift Angewandte Mathematik und Mechanik
 Pub Date:
 February 1982
 DOI:
 10.1002/zamm.19820620206
 Bibcode:
 1982ZaMM...62..115S
 Keywords:

 Computational Fluid Dynamics;
 Flow Distribution;
 NavierStokes Equation;
 Statistical Analysis;
 Vortices;
 Vorticity Equations;
 Equations Of Motion;
 Flow Theory;
 Hydrodynamic Equations;
 Laminar Flow;
 Numerical Analysis;
 Turbulent Diffusion;
 Fluid Mechanics and Heat Transfer