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”.
Similar content being viewed by others
References
M. López de Haro, E. G. D. Cohen, and J. M. Kincaid,J. Chem. Phys. 78:2746 (1983).
H. van Beijeren and M. H. Ernst,Phys. Lett. A 43:367 (1973);Physica 68:437 (1973);70:225 (1973).
L. Barajas, L. S. García-Colín, and E. Piña,J. Stat. Phys. 7:161 (1973).
J. Xu and G. Stell,J. Chem. Phys. 89:2344 (1988).
J. H. Ferziger and H. G. Kaper,Mathematical Theory of Transport Processes in Gases (North-Holland, Amsterdam, 1972).
M. J. Lindenfeld and B. Shizgal,Chem. Phys. 41:81 (1979).
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).
J. Karkheck and G. Stell,J. Chem. Phys. 71:3636 (1979).
J. J. Salacuse and G. Stell,J. Chem. Phys. 77:3714 (1982).
H. Wesslau,Makromol. Chem. 20:111 (1950).
R. McRae and A. D. J. Haymet,J. Chem. Phys. 88:1114 (1988).
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).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01022841