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Migration of particles in a turbulent nonisothermic flow as a result of dependence of the viscosity of the gas on the temperature

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Abstract

The motion is considered of a Stokes-like spherical particle in a turbulent nonisothermic gas flow whose viscosity depends on the temperature. The field of the turbulent velocity is assumed to be homogeneous, isotropic, and steady. It is shown that if there is a mean temperature gradient in the gas, and, consequently, a heat flow due to turbulent pulsations, then there may be turbulent migration of particles in a direction collinear with the gradient of the mean temperature. The migration is due to statistical correlation of turbulent pulsations of velocity and temperature, and is not connected with the phenomenon of ordinary thermophoresis. Upon the introduction of a number of simplifying assumptions, the rate of migration is calculated in dependence on the characteristics of the particle and the flow.

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 53–58, November–December, 1986.

The author is grateful to V. S. Galkin, V. A. Zharov, M. N. Kogan, and V. A. Sabel'nikov for discussions of the study.

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Boris, A.Y. Migration of particles in a turbulent nonisothermic flow as a result of dependence of the viscosity of the gas on the temperature. Fluid Dyn 21, 889–894 (1986). https://doi.org/10.1007/BF02628023

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  • DOI: https://doi.org/10.1007/BF02628023

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