Equations of state for hard-sphere fluids

Conference · Tue Nov 01 04:00:00 EST 1988 · Int. J. Thermophys.; (United States)

OSTI ID:5844036

Zhou, Y; Stell, G

Equations of state and contact values of hard-sphere radial distribution functions (rdf's) which are given by a linear combination of the Percus-Yevick and scaled-particle virial expressions are considered. In the one-component case the mixing coefficient /theta/(/eta/)is, in general a function of the volume fraction /eta/. In mixtures the coefficient /theta/(/eta//sub i/, d/sub i/), in general, depends upon the volume fraction /eta//sub i/ and diameter d/sub i/ of each species, i and j. For the contact values Y/sub ij/ of the rdf's, the mixing coefficients /Theta//sub ij/(/eta//sub k/) also depend on species i and j. Density expansions for the exact /theta/ for the one-component hard-sphere fluid are obtained and compared with several approximations made in earlier works and in the authors own work, as well as with simulation. For a mixture, it turns out that one cannot obtain the exact fourth virial coefficient by using a linear combination of the Percus-Yevick and scaled-particle virial expression for Y/sub ij/ unless one allows /Theta//sub ij/ to depend on mole fractions x/sub i/ even at the zeroth order of its density expansion. They also find that /Theta//sub ij/ must depend on particle species i and j in order to satisfy the exact limits obtained earlier by Sung and Stell. A new equation of state for the binary hard-sphere mixture which satisfies all the exact limits they have considered is suggested.

• Research Organization: State Univ. of New York, Stony Brook (USA)
• OSTI ID: 5844036
• Report Number(s): CONF-880606-
• Conference Information: Journal Name: Int. J. Thermophys.; (United States) Journal Volume: 9:6
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
BINARY MIXTURES
BOUNDARY CONDITIONS
DISPERSIONS
EQUATIONS
EQUATIONS OF STATE
FLUIDS
GASES
HARD-SPHERE MODEL
LIQUIDS
MIXTURES
PERCUS-YEVICK EQUATION
SOLVENTS
THERMODYNAMICS
VIRIAL EQUATION