Popis: |
The classical K41 theory, based on the ideas of Kolmogorov, Richardson and Batchelor, has in recent years with accumulating evidence become subject to increased scrutiny. We elaborate on the idea that the deficiencies of the theory originate in the fundamental assumption of universal equilibrium, which in turn is the result of the basic assumption of locality of nonlinear interactions. These very fundamental assumptions are argued to have no anchoring in the governing Navier-Stokes equation. The possibility for other kinds of solutions are discussed from a historical perspective. K41 is also identified to represent an equilibrium solution that cannot predict non-equilibrium turbulence. |