A novel idea: calculating anisotropic turbulence only by Kolmogorov structure constant C$_n^2$ and power law $\alpha$

TL;DR

This paper proposes a method to predict anisotropic turbulence using only the Kolmogorov structure constant and power law, simplifying the modeling process by eliminating the need for direct anisotropic factor measurement.

Contribution

It introduces three modeling approaches to derive formulas linking anisotropic non-Kolmogorov and Kolmogorov constants, enabling anisotropic turbulence prediction without measuring anisotropic factors.

Findings

Anisotropic factor can be eliminated in turbulence modeling.

Turbulence can be predicted solely using Kolmogorov constants and power law.

Derived formulas are validated against existing anisotropic results.

Abstract

As stated in the present research, the anisotropic non-Kolmogorov turbulence model is more in line with the actual turbulence. However, anisotropic factor is vital for the accuracy of calculations, and measuring it precisely is a challenging task. In this paper, utilizing three modeling approaches, we derive four different equivalence formulas between the anisotropic non-Kolmogorov and the Kolmogorov structure constants, and apply them to the extant anisotropic results. It is found that the anisotropic factor is eliminated and the anisotropic turbulence can be predicted only by Kolmogorov structure constant and power law.