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Related Experiment Video

Updated: Jun 8, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

Simple model for turbulence intermittencies based on self-avoiding random vortex stretching.

Nicolas Rimbert¹

¹LEMTA, ESSTIN, Nancy University-CNRS, 2 rue Jean Lamour, F-54519 Vandoeuvre Cedex, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|September 28, 2010

Summary

This study links polymer physics to turbulence, explaining intermittency statistics using a new model. It reveals a connection between polymer growth exponents and turbulence scaling without needing fitting parameters.

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Last Updated: Jun 8, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

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Published on: July 19, 2016

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Magnetically Induced Rotating Rayleigh-Taylor Instability

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Published on: March 3, 2017

Area of Science:

Fluid Dynamics
Polymer Physics
Statistical Mechanics

Background:

The statistical description of turbulence intermittency, particularly the distribution of energy dissipation across different eddy sizes, remains a subject of ongoing debate.
Existing models often rely on complex statistical functions or fitting parameters to capture intermittency phenomena.

Purpose of the Study:

To establish a novel connection between polymer physics concepts and the statistical properties of turbulent flows.
To develop a physically grounded model for turbulence intermittency that explains its scaling with Reynolds number.

Main Methods:

Establishing a theoretical bridge between self-avoiding walks in polymer physics and random vortex stretching in turbulence.
Deriving a relationship between the stability index of Lévy stable distributions and Flory's exponent from polymer statistics.
Developing a cascade model of vortex tube stretching and bending based on fundamental physical principles.

Main Results:

A direct relationship is found between the Lévy stable law's stability index and Flory's exponent, linking polymer chain statistics to turbulence.
The scaling of turbulence intermittency with the Reynolds number is explained through this new framework.
A coherent picture of the smallest dissipative eddies (Kolmogorov scale) being deformed by larger eddies (Taylor scale) is presented.

Conclusions:

The established model provides a simple, parameter-free explanation for turbulence intermittency statistics.
This interdisciplinary approach offers new insights into the fundamental nature of energy dissipation in turbulent flows.
The findings suggest that concepts from polymer physics can effectively describe complex phenomena in fluid dynamics.