A Rational Model of Large-Scale Motion in Turbulence

TL;DR

This paper introduces a rational theoretical model for large-scale turbulence motion, emphasizing the role of fluid elements with internal structures and deriving vortex dynamics from variational principles.

Contribution

It proposes a novel rational framework for turbulence based on orientational structures and variational calculus, linking vortex evolution to angular momentum.

Findings

Vortex dynamics derived from variational principles.

Fluid elements with internal orientation structures as fundamental units.

The model connects vortex evolution with angular momentum balance.

Abstract

A rational theory is proposed to describe the large-scale motion in turbulence. The fluid element with inner orientational structures is proposed to be the building block of fluid dynamics. The variance of the orientational structures then constitutes new fields suitable to describe the vortex state in turbulence. When the fluid element is assumed to be an open subsystem, the differentiable manifold description of turbulence ought to be set up, and the complete fluid dynamics can be deduced from a variational calculus on the constructed Lagrangian dissipation energy density. The derived dynamical equations indicate that the vortex evolution is naturally related with the angular momentum balance.