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Bulk and shear viscosities of a polydisperse hard-sphere fluid

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Abstract

The bulk and shear viscosity expressions for a multicomponent hard-sphere mixture in the Enskog transport theory are generalized to the polydisperse limit. The effect of polydispersity is expressed in terms of correction factors to the monodisperse fluid results. These correction factors have been evaluated for both a log-normal size distribution with the mass-size relation of a power-law form and a log-normal mass distribution with fixed particle size, which is the continuous limit of “isotopes”.

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References

  1. M. López de Haro, E. G. D. Cohen, and J. M. Kincaid,J. Chem. Phys. 78:2746 (1983).

    Google Scholar 

  2. H. van Beijeren and M. H. Ernst,Phys. Lett. A 43:367 (1973);Physica 68:437 (1973);70:225 (1973).

    Google Scholar 

  3. L. Barajas, L. S. García-Colín, and E. Piña,J. Stat. Phys. 7:161 (1973).

    Google Scholar 

  4. J. Xu and G. Stell,J. Chem. Phys. 89:2344 (1988).

    Google Scholar 

  5. J. H. Ferziger and H. G. Kaper,Mathematical Theory of Transport Processes in Gases (North-Holland, Amsterdam, 1972).

    Google Scholar 

  6. M. J. Lindenfeld and B. Shizgal,Chem. Phys. 41:81 (1979).

    Google Scholar 

  7. G. A. Mansoori, N. F. Carnahan, K. E. Starling, and T. W. Leland,J. Chem. Phys. 54:1523 (1971); see also T. M. Reed and K. E. Gubbins,Applied Statistical Mechanics (McGraw-Hill, New York, 1973).

    Google Scholar 

  8. J. Karkheck and G. Stell,J. Chem. Phys. 71:3636 (1979).

    Google Scholar 

  9. J. J. Salacuse and G. Stell,J. Chem. Phys. 77:3714 (1982).

    Google Scholar 

  10. H. Wesslau,Makromol. Chem. 20:111 (1950).

    Google Scholar 

  11. R. McRae and A. D. J. Haymet,J. Chem. Phys. 88:1114 (1988).

    Google Scholar 

  12. I. M. de Schepper, A. F. E. M. Haffmans, and H. van Beijeren,Phys. Rev. Lett. 57:1715 (1986); S. P. Das,Phys. Rev. A 36:211 (1987).

    Google Scholar 

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Xu, J., Stell, G. Bulk and shear viscosities of a polydisperse hard-sphere fluid. J Stat Phys 57, 921–936 (1989). https://doi.org/10.1007/BF01022841

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  • DOI: https://doi.org/10.1007/BF01022841

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