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Concentration of diffusional particles in viscous boundary sublayer of turbulent flow

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  • Belan, S.

Abstract

The motion of inertial particles suspended in the viscous boundary sublayer of a wall-bounded turbulent flow is considered. We show that there is the diffusional region near the wall occupied by the particle moving in the local-equilibrium with the turbulent fluctuations which are modelled by Ornstein–Uhlenbeck process. The stationary spatial distribution of inertial particles is found for arbitrary Stokes number (dimensionless measure of the inertia). The weakly inertial particles placed in the diffusional region go away from the wall and escape the viscous sublayer. However, the direction of particle migration reverses when the Stokes number is getting larger than the critical value that we determine. The standard turbophoresis becomes more and more pronounced with the increase of Stokes number so that sufficiently inertial particles turn out to be trapped in the viscous boundary sublayer.

Suggested Citation

  • Belan, S., 2016. "Concentration of diffusional particles in viscous boundary sublayer of turbulent flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 128-136.
    • Handle: RePEc:eee:phsmap:v:443:y:2016:i:c:p:128-136
    DOI: 10.1016/j.physa.2015.09.068
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    References listed on IDEAS

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    1. Widder, M.E. & Titulaer, U.M., 1989. "Brownian motion in a medium with inhomogeneous temperature," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 154(3), pages 452-466.
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