Stretching vortices as a basis for the theory of turbulence

TL;DR

This paper proposes a novel turbulence theory based on vortex stretching rather than vortex breaking, offering explanations for energy transfer and flow structures that align with experimental observations.

Contribution

It introduces a new turbulence mechanism centered on vortex stretching, avoiding cascade limitations and explaining long-living structures without finite-time singularities.

Findings

Velocity scaling parameters match experimental data

Vortex stretching explains energy transfer in turbulence

Avoids cascade and singularity issues of traditional theories

Abstract

Turbulent flows play an important role in many aspects of nature and technics from sea storms to transport of particles or chemicals. Transport of energy from large scales to small fluctuations is the essential feature of three-dimensional turbulence. What mechanism is responsible for this transport and how do the small fluctuations appear? The conventional conception implies a cascade of breaking vortices. But it faces crucial problems in explaining the mechanism of the breaking, and fails to explain the observed long-living structures in turbulent flows. We suggest a new concept based on recent analysis of stochastic Navier-Stokes equation: stretching of vortices instead of their breaking may be the main mechanism of turbulence. This conception is free of the disadvantages of the cascade paradigm; it also does not need finite-time singularities to explain the observed statistical properties of turbulent flows. Moreover, the introduction of the new conception allows immediately to get velocity scaling parameters well consistent with experimental data.