Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-19T09:10:37.673Z Has data issue: false hasContentIssue false
  • English
  • Français

The concentration-jump coefficient in a rarefied binary gas mixture

Published online by Cambridge University Press:  20 April 2006

C. Shen
C. Shen
Affiliation:
Institute of Mechanics, Chinese Academy of Sciences, Beijing, China
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper we consider the problem of the concentration jump of a vapour in the vicinity of a plane wall, which consists of the condensed phase of the vapour, in a rarefied gas mixture of that vapour (A) and another ‘inert’ gas (B). The general formulation of the problem of determining the concentration-jump coefficient CdA is given. In the Knudsen layer the simplest model of Boley-Yip theory is used to simplify the Boltzmann equations for the binary gas mixture. The numerical calculation of the concentration jump coefficient CdA for various values of evaporation coefficient αA is illustrated for the case of nB [Gt ] nA for which experimental data are available.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 137 , December 1983 , pp. 221 - 231
Copyright
© 1983 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bhatnagar, P. L., Gross, E. P. & Krook, M. 1954 A model for collision processes in gases. Part I Phys. Rev. 94, 511–525.Google Scholar
Birks, J. & Bradley, R. S. 1949 The rate of evaporation of droplets. Part II. Proc. R. Soc. Lond A 198, 226–239.Google Scholar
Boley, C. D. & Yip, S. 1972a Modelling theory of the linearised collision operator for a gas mixture Phys. Fluids 18, 1424–1433.Google Scholar
Boley, C. D. & Yip, S. 1972b Kinetic theory of time-dependent correlation functions in a binary gas mixture Phys. Fluids 18, 1433–1446.Google Scholar
Cercignani, C. 1975 Theory and Application of the Boltzmann Equation. Scottish Academic Press.
Chapman, S. & Cowling, T. 1970 The Mathematical Theory of Non-uniform Gases, 3rd edn. Cambridge University Press.
Fuchs, N. 1934 Überdie Verdampfungsgeschwindigkeit kleiner Tröpfchen in einer Gasatmosphäre Phys. Z. Sowjetunion 6, 224–243.Google Scholar
Hidy, G. M. & Brock, J. R. 1970 The Dynamics of Aerocolloidal Systems. Pergamon.
Ivchenko, I. N. & Yalomov, Y. I. 1971 Hydrodynamical method for the calculation of thermophoretic velocity of mildly large non-volatile aerosol particles. J. Phys. Chem. (Russian) 45, 577.Google Scholar
Kennard, E. 1938 Kinetic Theory of Gases. McGraw-Hill.
Loyalka, S. K. 1968 Momentum and temperature-slip coefficients with arbitrary accommodation at the surface J. Chem. Phys. 48, 5432–5436.Google Scholar
Loyalka, S. K. & Cipolla, J. W. 1971 Thermal creep slip with arbitrary accommodation at the surface Phys. Fluids 14, 1656–1661.Google Scholar
Maxwell, J. C. 1879 On stresses in rarefied gases arising from inequalities of temperature Phil. Trans. R. Soc. Lond. 170, 231–256.Google Scholar
Onishi, Y. 1973 Flow of rarefied gas over a plane wall Bull. Univ. of Osaka Prefecture A22, 91.Google Scholar
Pao, Y. P. 1971 Application of kinetic theory to the problem of evaporation and condensation Phys. Fluids 14, 306–312.Google Scholar
Shen, C. 1981 Slightly rarefied gas flow over a sphere under Maxwell-type boundary conditions Mech. Sinica 6, 538–549.Google Scholar
Shen, C. 1983 Thermophoresis of spherical particle and the dependence of the jump coefficients on the accommodation coefficient Mech. Sinica 1, 7–15.Google Scholar
Sone, Y. 1964 Kinetic theory analysis of linearized Rayleigh problem J. Phys. Soc. Japan 19, 1463–1473.Google Scholar
Sone, Y. 1966a Some remarks on Knudsen layer J. Phys. Soc. Japan 21, 1620–1621.Google Scholar
Sone, Y. 1966b Thermal creep in rarefied gas J. Phys. Soc. Japan 21, 1836–1827.Google Scholar
Sone, Y. & Onishi, Y. 1973 Kinetic theory of evaporation and condensation J. Phys. Soc. Japan 35, 1773–1776.Google Scholar
Sone, Y. & Onishi, Y. 1978 Kinetic theory of evaporation and condensation - hydrodynamic equation and slip boundary conditions. J. Phys. Soc. Japan 44, 1981–1994.Google Scholar
Welander, P. 1954 On the temperature jump in a rarefied gas Ark. Fys 7, 507–553.Google Scholar