Turbulent viscosity variability in self-propelled body wake model

TL;DR

This paper investigates how variable turbulent viscosity affects the behavior of self-propelled body wake models, revealing new integrals of motion that influence wake width and profile conservation.

Contribution

It introduces new integrals of motion for wake models with variable turbulent viscosity, extending previous understanding based on constant viscosity.

Findings

Identification of new integrals of motion

Altered wake width and profile behavior

Conservation properties of the wake

Abstract

We study the influence of turbulent viscosity variability on the properties of self-propelled body wake model. In addition to the already known integrals of motion obtained with constant turbulent viscosity, we obtain new ones. The presence of new integrals of motion leads, in particular, to changes in the behavior of the width and profile of the wake leading to its conservation.