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Related Experiment Videos

Relations between Lagrangian models and synthetic random velocity fields.

Piero Olla1, Paolo Paradisi

  • 1ISAC-CNR, Sezione di Lecce Strada Provinciale Lecce-Monteroni km 1.2 I-73100 Lecce, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2004
PubMed
Summary

This study offers a new interpretation of transport models using random velocity fields, resolving nonuniqueness issues and accurately modeling particle transport in turbulence.

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Area of Science:

  • Fluid dynamics
  • Turbulence modeling
  • Stochastic processes

Background:

  • Markovian transport models and the well-mixed condition are widely used but have limitations.
  • Understanding the relationship between model terms and turbulent flow geometry is crucial.
  • The nonuniqueness problem in well-mixed approaches requires resolution.

Purpose of the Study:

  • To propose an alternative interpretation of Markovian transport models.
  • To link drift and noise terms directly to turbulent flow geometry.
  • To generalize transport models for nontracer quantities and solid particle transport.

Main Methods:

  • Utilizing a random velocity field with specific second-order structure function scaling.
  • Analyzing the antisymmetric part of velocity correlations to address nonuniqueness.

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  • Developing a generalized approach applicable to nontracer quantities.
  • Applying the model to solid particle transport in homogeneous isotropic turbulence and channel flow.

    • Main Results:

    • The proposed interpretation directly associates model terms with turbulent fluctuation geometry.
    • Nonuniqueness in well-mixed models is resolved via antisymmetric velocity correlations.
    • The model generalizes to nontracer quantities and accurately predicts particle velocity correlation times.
    • Particle deposition rates in channel flow match experimental data.

    Conclusions:

    • The alternative interpretation provides a more physically grounded understanding of transport models.
    • The method successfully addresses limitations of previous approaches, particularly nonuniqueness.
    • The developed model shows strong agreement with experimental observations for particle transport.