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Motion of a spherical particle in a rarefied gas. Part 2. Drag and thermal polarization

Published online by Cambridge University Press:  26 April 2006

S. A. Beresnev ,
V. G. Chernyak  and
G. A. Fomyagin
S. A. Beresnev
Affiliation:
Urals State University, Sverdlovsk, 620083. USSR
V. G. Chernyak
Affiliation:
Urals State University, Sverdlovsk, 620083. USSR
G. A. Fomyagin
Affiliation:
Urals State University, Sverdlovsk, 620083. USSR
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Abstract

Kinetic theory for the drag and thermal polarization of a spherical particle in a low-speed flow of a rarefied gas is presented. The problem is solved on the basis of the linearized kinetic equation (Shakhov 1974) with the correct Prandtl number, $Pr = \frac{2}{3}2$, for monatomic gas. The integral-moment method of solution for arbitrary values of the Knudsen number is employed. The possibility of arbitrary energy, and tangential and normal momentum accommodation of gas molecules on the particle surface is taken into account in the boundary condition. The particle–gas heat conductivity ratio Λ is assumed to be arbitrary.

Numerical results for the isothermal drag, radiometric force affecting a non-uniformly heated particle in a rarefied gas, and temperature drop between the ends of the particle diameter owing to its thermal polarization in a gas flow have been obtained. The analytical expressions approximating the numerical calculations for the whole range of Knudsen numbers are given. The results obtained are compared to the available theoretical and experimental data.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 219 , October 1990 , pp. 405 - 421
Copyright
© 1990 Cambridge University Press

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