Quasi-streamwise vortices and enhanced dissipation for the incompressible 3D Navier-Stokes equations

TL;DR

This paper investigates how quasi-streamwise vortices in a 3D incompressible flow lead to enhanced dissipation, providing mathematical proof within a specific vortex-shear flow setting.

Contribution

It offers a rigorous proof of enhanced dissipation effects caused by quasi-streamwise vortices in a 3D Navier-Stokes framework under a 2+1/2-dimensional setting.

Findings

Proved enhanced dissipation due to quasi-streamwise vortices.

Analyzed vortex stretching by shear flow.

Established mathematical framework for vortex-induced dissipation.

Abstract

We consider the 3D incompressible Navier-Stokes equations under the following $2+\frac{1}{2}$-dimensional situation: vertical vortex blob (quasi-streamwise vortices) being stretched by two-dimensional shear flow. We prove enhanced dissipation induced by such quasi-streamwise vortices.