Singularity of Inertial Particle Concentration in the Viscous Sublayer of Wall-bounded Turbulent Flows

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• 作者：Dmitrii Ph. Sikovsky (1) (2)
  
• 关键词：Particle ; laden flows ; Particle accumulation ; Wall ; bounded turbulent flows
• 刊名：Flow, Turbulence and Combustion
• 出版年：2014
• 出版时间：January 2014
• 年：2014
• 卷：92
• 期：1-2
• 页码：41-64
• 全文大小：668 KB
• 作者单位：Dmitrii Ph. Sikovsky (1) (2)
  
  1. Institute of Thermophysics, Siberian Branch of Russian Academy of Sciences, Acad. Lavryentiev Ave. 1, Novosibirsk, 630090, Russian Federation
  2. Novosibirsk State University, Pirogova street 2, Novosibirsk, 630090, Russian Federation
  
• ISSN：1573-1987

文摘

The exact kinetic equation for probability density function (PDF) of the velocity and the position of inertial particle transported by turbulent non-Gaussian fluid velocity fields in the viscous sublayer of wall-bounded turbulent flow is analyzed by the method of matched asymptotic expansions. It is shown that the particle concentration near the wall exhibits a power-law singularity giving rise to the phenomenon of particle accumulation. It is shown how the corresponding exponent depends upon the particle Stokes number. The result is in good agreement with previously published results of numerical simulations. A corresponding singularity is found for the standardized higher-order moments of particle velocity.