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Derevich, I. V.; Klochkov, A. K.

Intensity of chaotic motion of particles for turbulent gas flow in channels with rough walls. (English. Russian original) Zbl 1509.76050

Fluid Dyn. 57, No. 6, 697-709 (2022); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2022, No. 6, 3-15 (2022).
Summary: The closed equation for the probability density function (PDF) of the coordinates and the particle velocity distribution is obtained within the framework of the gradient hypothesis. An approximate solution of the equation for the probability density function is found. Using this solution, a closed system of equations for the first and second moments of the particle velocity fluctuations is written. The system of the boundary conditions based on approximate solution of the equation for the probability density function that takes into account the channel wall roughness and the momentum recovery coefficients of reflected particles is given. It is found that turbulent transfer of the momentum of disperse phase into the near-wall channel region leads to the fluctuation amplitude of the axial velocity component of particles which is higher than the axial velocity component of gas. It is shown that collision of the particles with the rough surface leads to an additional generation of the random normal velocity component of particles that changes radically the admixture concentration component as compared with the smooth walls. The calculation results are compared with experimental data.

MSC:

76F55 Statistical turbulence modeling
76F25 Turbulent transport, mixing

Keywords:

gradient hypothesis: turbulent momentum transfer; probability density function; momentum recovery coefficient; random velocity moment; disperse phase
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References:

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