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Exact solution of the kinetic equation in the problem of nonisothermal flow in the neighborhood of a weakly curved surface

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Abstract

An analytic method for solving the half-space boundary value problem for the inhomogeneous Boltzmann equation with the collision operator in the form of an elliptico-statistical model (the ES-model of the Boltzmann equation) is proposed for the problem of nonisothermal rarefied gas flow in the neighborhood of a curved surface. An exact analytic expression is derived for the thermal slip of a monatomic gas along the surface of a rigid spherical aerosol particle. A numerical value of the gas-kinetic coefficient which takes into account the effect of the curvature of the surface on the thermal slip coefficient is obtained. A comparison with published data is carried out.

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Authors
  1. M. N. Gaidukov
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  2. V. N. Popov
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Additional information

Moscow, Arkhangelsk. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 2, pp. 165–173, March–April, 1998.

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Gaidukov, M.N., Popov, V.N. Exact solution of the kinetic equation in the problem of nonisothermal flow in the neighborhood of a weakly curved surface. Fluid Dyn 33, 289–297 (1998). https://doi.org/10.1007/BF02698715

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  • DOI: https://doi.org/10.1007/BF02698715

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