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The Kramers problem: Velocity slip and defect for a hard sphere gas with arbitrary accommodation

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Abstract

The half-space problem of rarefied gas flow (the Kramers problem) is considered for the linearized Boltzmann equation and arbitrary gas-surface interaction. Accurate numerical results for the velocity slip coefficient and velocity defect are obtained for the rigid sphere interaction and Maxwellian boundary condition.

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References

  1. S. K. Loyalka and J. H. Ferziger, Phys. Fluids10, 1833 (1967).

    Google Scholar 

  2. S. K. Loyalka, Z. Naturforschung26a, 964 (1971); J. Chem. Phys.48, 5432 (1968).

    Google Scholar 

  3. S. K. Loyalka, Phys Fluids14, 2291 (1971).

    Google Scholar 

  4. T. Klinc and I. Kuscer, Phys. Fluids15, 1013 (1972).

    Google Scholar 

  5. C. Cercignani,Mathematical Methods in Kinetic Theory, Plenum, New York, 1968.

    Google Scholar 

  6. M. M. R. Williams,Mathematical Methods in Particle Transport Theory, p. 231 and 251. Butterworths, London, 1971.

    Google Scholar 

  7. S. K. Loyalka, N. Petrellis and T. S. Storvick, Phys. Fluids18, 1098 (1975).

    Google Scholar 

  8. S. K. Loyalka, Phys Fluids18, 1666 (1975).

    Google Scholar 

  9. M. A. Reynolds, J. J. Smolderen and J. F. Wendt, InRarefied Gas Dynamics, vol. 1. (Ed. M. Befker and M. Fiebig), p. A-21. DFVLR-Press, Porz Wahn 1974.

    Google Scholar 

  10. C. Cercignani,Theory and Applications of the Boltzmann Equation, Elsevier, New York 1987.

    Google Scholar 

  11. S. K. Loyalka and K. A. Hickey, Phys. FluidsA 1, 612 (1989).

    Google Scholar 

  12. S. K. Loyalka, Phys. FluidsA 1, 403 (1989).

    Google Scholar 

  13. S. K. Loyalka, S. A. Hamoodi and R. V. Tompson, Phys. FluidsA 1, 384 (1989).

    Google Scholar 

  14. S. K. Loyalka, S. A. Hamoodi and R. V. Tompson, Phys. FluidsA 1, 384 (1989).

    Google Scholar 

  15. K. A. Hickey and S. K. Loyalka, J. Vac. Sci. Tech. (submitted).

  16. S. K. Loyalka, Phys. Fluids (submitted).

  17. S. L. Gorelov and M. N. Kogan, Fluid Dynamics3, 96 (1968).

    Google Scholar 

  18. R. B. Bird, Progress in Astro. and Aero.51, 323 (1977).

    Google Scholar 

  19. Y. Sone, T. Ohwada and K. Aoki, Phys. FluidsA 1, 363 (1989).

    Google Scholar 

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Authors and Affiliations

  1. Nuclear Engineering Program and Particulate Systems Research Center, University of Missouri-Columbia, 65211, Columbia, Missouri, USA

    S. K. Loyalka & K. A. Hickey

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  1. S. K. Loyalka
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  2. K. A. Hickey
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Loyalka, S.K., Hickey, K.A. The Kramers problem: Velocity slip and defect for a hard sphere gas with arbitrary accommodation. Z. angew. Math. Phys. 41, 245–253 (1990). https://doi.org/10.1007/BF00945110

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  • DOI: https://doi.org/10.1007/BF00945110

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