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Session: Multiphase and non-Newtonian flows 3
Session starts: Thursday 27 August, 15:00
Presentation starts: 15:45
Room: Room D

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Dmitrii Sikovsky (Novosibirsk State University, Novosibirsk, Russian Federation)

Abstract:
We propose the asymptotic theory of unsteady accumulation of inertial particles in the viscous sublayer of wall-bounded turbulent flow. We derive the diffusion equation for the particle concentration in the viscous sublayer and find the self-similar exact solution of this equation at large times. It is shown that near the wall the maximal concentration grows as the square root of time, while the distance from the wall to the concentration pike as well as its width decay as inverse square root of time. The obtained solution is corroborated by the results of stochastic Lagrangian simulations.