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Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
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Sticky issues in turbulent transport.

Antonio Celani1, Gautam Reddy2,3,4, Massimo Vergassola5,6

  • 1The Abdus Salam International Centre for Theoretical Physics (ICTP), Strada Costiera 11, I-34014 - Trieste, Italy.

Annales Henri Poincare
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Summary
This summary is machine-generated.

This study explores particle stickiness in turbulent transport. We found that partial stickiness influences transport dynamics and introduces new boundary conditions for atmospheric models.

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Area of Science:

  • Physics
  • Fluid Dynamics
  • Atmospheric Science

Background:

  • Turbulent transport is crucial in various scientific fields.
  • Particle-surface interactions can significantly alter transport phenomena.
  • Existing models may not fully capture the nuances of partial stickiness.

Purpose of the Study:

  • To investigate the impact of partial particle stickiness on turbulent transport.
  • To re-derive known results for the compressible Kraichnan model using a novel method.
  • To develop and analyze a new model for transport in the atmospheric boundary layer considering stickiness.

Main Methods:

  • Utilized a bi-orthogonality method for expanding the propagator in terms of left and right eigenvectors.
  • Applied orthogonality and normalization constraints to re-derive existing results.
  • Introduced a general transport model for the atmospheric boundary layer with height-dependent drift and diffusivity.

Main Results:

  • Re-derived known results for the compressible Kraichnan model, confirming the efficacy of the bi-orthogonality method.
  • Identified a one-parameter family of admissible boundary conditions for atmospheric transport when particle-surface interaction strength (V) is between -1 and 1 (excluding 0).
  • Determined a single admissible boundary condition for V outside this range, correlating with full adhesion or no adhesion.

Conclusions:

  • The bi-orthogonality method provides an intuitive approach to understanding turbulent transport with partial stickiness.
  • The degree of particle-ground adhesion is a key parameter in atmospheric boundary layer transport.
  • The findings offer a more refined understanding of tracer transport in the atmosphere.