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Mixing as an aggregation process.

E Villermaux1, J Duplat

  • 1Université de Provence & Institut Universitaire de France, IRPHE, 13384 Marseille Cedex 13, France. villerma@irphe.univ-mrs.fr

Physical Review Letters
|November 13, 2003
PubMed
Summary

This study reveals how stirred mixtures become uniform via aggregation. Stretched sheets coalesce and smooth, forming unique concentration distributions that demonstrate a self-convolution property, indicating the aggregation mechanism.

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Area of Science:

  • Fluid dynamics
  • Statistical mechanics
  • Chemical engineering

Background:

  • Understanding mixture uniformity is crucial in various scientific and industrial processes.
  • Scalar mixing dynamics are complex, influenced by fluid flow and diffusion.

Purpose of the Study:

  • To investigate the aggregation process in stirred scalar mixtures.
  • To identify the fundamental mechanisms governing mixture relaxation towards uniformity.
  • To characterize the resulting concentration distributions.

Main Methods:

  • Experimental studies of stirred scalar mixtures in 2D and 3D.
  • Analysis of diffusive smoothing and coalescence of stretched sheets.
  • Variation of stirring protocols and Reynolds numbers.

Main Results:

  • Identified a unique family of concentration distributions across different conditions.
  • Demonstrated that these distributions are stable by self-convolution.
  • Established aggregation as the primary mechanism for mixture uniformity.

Conclusions:

  • The aggregation of smoothed and coalesced sheets is the key process for achieving uniformity in stirred scalar mixtures.
  • The self-convolution property serves as a signature of this aggregation mechanism.
  • The findings offer insights into mixing dynamics relevant to diverse fields.

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