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Strained spiral vortex model for turbulent fine structure. (English) Zbl 0536.76034

In this paper, a solution to the Navier-Stokes equations is presented, which yields the energy spectrum for turbulent incompressible flow proposed by A. Kolmogorov [C.R. Acad. Sci. URSS, N. S. 30, 301-305 (1941; Zbl 0025.37602)]. A structure of turbulence is proposed, which consists of strained spiral vortex solutions of the Navier-Stokes equations. The calculation of the energy spectrum leads to a formula which depends on more parameters than Kolmogorov proposed, but when these are related in a suitable way, Kolmogorov’s spectrum results.
Reviewer: G.Pasa

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
76F99 Turbulence

Citations:

Zbl 0025.37602
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