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Motion of a spherical particle in a rarefied gas. Part 1. A liquid particle in its saturated vapour

Published online by Cambridge University Press:  21 April 2006

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

The results of a theoretical investigation of the low-speed motion of a volatile spherical particle in its saturated vapour at arbitrary values of the Knudsen number, evaporation coefficient and tangential momentum accommodation coefficient are presented. The problem is solved on the basis of the Bhatnagar, Gross & Krook (1954) linearized kinetic equation with the model collision integral. The variational method developed for the solution of the axisymmetric problems (Cercignani & Pagani 1968) is employed to calculate the drag. Phase changes on the particle surface have been shown to reduce the drag by an order depending on the Knudsen number. Incomplete accommodation of molecules colliding with the particle also results in the reduction of the drag over the whole range of Knudsen numbers.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 176 , March 1987 , pp. 295 - 310
Copyright
© 1987 Cambridge University Press

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References

Annis, B. K. & Malinauskas, A. P. 1972 J. Aerosol Sci. 3, 55.
Basset, A. 1877 Phil. Trans. R. Soc. Lond. B 179, 43.
Bakanov, S. P. & Vysotskiy, V. V. 1982 Kolloidn. Zh. 44, 1156.
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
Beresnev, S. A. & Chernyak, V. G. 1983 Inzhenerno Phys. Zh. 44, 142.
Bhatnagar, P. L., Gross, E. P. & Krook, M. 1954 Phys. Rev. 94, 511.
Brock, J. R. 1964 J. Phys. Chem. 68, 2862.
Brock, J. R. 1967 J. Colloid Interface Sci. 24, 344.
Brock, J. R. 1980 Aerosol Microphysics I (ed. W. H. Marlow), p. 15. Springer.
Cercignani, C. & Pagani, C. D. 1968 Phys. Fluids 11, 1395.
Cercignani, C. & Pagani, C. D. 1969 Rarefied Gas Dynamics (ed. L. Trilling & H. Y. Wachmann), Vol. 2, p. 269. Academic.
Cercignani, C., Pagani, C. D. & Bassanini, P. 1968 Phys. Fluids 11, 1399.
Cole, R. J. 1981 Rarefied Gas Dynamics (ed. S. Fisher), p. 1007. American Institute of Aeronaut. and Astronaut.
Cole, R. J. 1982 13th Rarefied Gas Dynamics Symposium. Book of Abstracts, Vol. 2. p. 394. Novosibirsk: Institute of Thermophysics.
Deryaguin, B. V. & Bakanov, S. P. 1962 Dokl. Akad. Nauk SSSR 147, 139.
Epstein, P. S. 1924 Phys. Rev. 23, 710.
Fuchs, N. A. 1971 Topics in Current Aerosol Research (ed. G. Hidy & J. Brock). Pergamon.
Fuchs, N. A. & Stechkina, I. B. 1963 Zh. Tech. Phys. 33, 132.
Hidy, G. & Brock, J. R. 1970 The Dynamics of Aerocolloidal Systems. Pergamon.
Jacobsen, S. & Brock, J. R. 1965 J. Colloid Sci. 20, 544.
Khlopkov, Yu. I. 1975 Uchenie Zapiski ZAGI 6, 174.
Kogan, M. N. 1969 Rarefied Gas Dynamics. Plenum.
Korobov, N. M. 1963 Theoretical Numerical Methods in an Approximating Analysis. Moscow: Fizmatgiz.
Kucherov, R. Ya. & Rikenglaz, L. E. 1960 Dokl. Akad. Nauk SSSR 133, 1130.
Lea, K. C. & Loyalka, S. K. 1982 Phys. Fluids 25, 1550.
Marchuk, G. I. 1961 Methods of Calculations of Nuclear Reactors. Moscow: Gosatomizdat.
Millikan, R. A. 1911 Phys. Rev. 32, 349.
Millikan, R. A. 1923 Phys. Rev. 22, 1.
Onishi, Y. 1977 J. Phys. Soc. Japan 43, 1434.
Phillips, W. F. 1975 Phys. Fluids 9, 1089.
Rosenblatt, P. & La Mer, V. 1946 Phys. Rev. 70, 385.
Schmitt, K. H. 1959 Z. Naturforshg. 14a, 870.
Sherman, F. S. 1963 Rarefied Gas Dynamics (ed. J. A. Laurmann), Vol. 2. p. 228. Academic.
Sone, Y. & Aoki, K. 1977 Rarefied Gas Dynamics (ed. J. L. Potter), Vol. 1. p. 417. American Institute of Aeronaut, and Astronaut.
Sone, Y. & Aoki, K. 1979 Rarefied Gas Dynamics (ed. R. Camparque). Vol. 2, p. 1207. Paris: CEA.
Waldmann, L. & Vestner, H. 1977 Physica 86A, 303.
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