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Mixing in two-dimensional shear flow with smooth fluctuations.

Nikolay A Ivchenko1, Vladimir V Lebedev1, Sergey S Vergeles1

  • 1<a href="https://ror.org/00z65ng94">Landau Institute for Theoretical Physics</a>, Russian Academy of Sciences, 1-A Akademika Semenova av., 142432 Chernogolovka, Russia and <a href="https://ror.org/055f7t516">National Research University Higher School of Economics</a>, Faculty of Physics, Myasnitskaya 20, 101000 Moscow, Russia.

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Summary
This summary is machine-generated.

This study explores passive scalar mixing in chaotic shear flows, revealing strong intermittency. Chaotic flow enhances mixing through intensified stirring, impacting statistical properties.

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Area of Science:

  • Fluid dynamics
  • Turbulence theory
  • Statistical mechanics

Background:

  • Passive scalar mixing is crucial in various natural and engineered systems.
  • Understanding mixing dynamics in chaotic flows is essential for predicting field evolution.
  • Previous models often simplified the complex interplay between shear and fluctuations.

Purpose of the Study:

  • To investigate the statistical properties of passive scalar fields in 2D shear flows with random fluctuations.
  • To model scalar mixing in scenarios like 2D turbulence and microchannel elastic turbulence.
  • To analyze intermittency in both decaying and continuously forced scalar variance cases.

Main Methods:

  • Analysis of a 2D flow model where shear dominates smooth fluctuations.
  • Examination of scalar variance dynamics under decaying and continuous forcing.
  • Calculation of single-point moments and correlation functions.
  • Focus on models with time-short correlated fluctuations.

Main Results:

  • Chaotic flow variations significantly intensify scalar field mixing.
  • The dynamics exhibit strong intermittency, quantifiable through moments and correlations.
  • General qualitative properties of the pair correlation function were determined.
  • Quantitative results were obtained for short-correlated fluctuation models.

Conclusions:

  • Chaotic shear flows provide an effective mechanism for rapid passive scalar mixing.
  • Intermittency is a key characteristic of scalar field dynamics in these flows.
  • The study provides valuable insights into scalar mixing relevant to turbulence and microfluidics.