Recent Developments in the Theory of Fluid Mixtures

Leland, Thomas W.

doi:10.1007/978-1-4757-0208-8_56

Cited by 6 publications

(3 citation statements)

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“…This error is much less at smaller diameter ratios, but it increases rapidly as the ratio of the diameters increases. parameters has been presented elsewhere [6]. An essential part of these derivations is the assumption of some relation between a pair distribution function in a mixture and that of a pure reference fluid.…”

Section: Determination Of the Composition Dependence Of (D 3)mentioning

confidence: 99%

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Evaluation of structural integrals in the perturbation of hard sphere mixture properties by intermolecular attraction in mixtures

1986

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This paper discusses the evaluation of the structural integrals which weight the contribution of various attraction pair potentials to mixture properties. These integrals are generated when pairwise attraction in a mixture is considered to be a first order perturbation on a mixture of nonattracting hard spheres. For pure components these integrals have the form ~ y2-ngnS(y, pd 3) dy, where gHS is the pair distribution function for pure hard spheres of diameter d and y is the ratio rid. This paper shows that the corresponding integral for the first order perturbation contribution of an i-j pair in a mixture can be evaluated to within about 3 per cent of its computer simulation value by means of an approximation given by ~ y2-ngnS(y, p(d3)) dy. In this approximation, the (d 3) term is a composition dependent average of the diameters of all constituents of the mixture, gnS is the pair distribution function for pure hard spheres with the pair interaction diameter di, , and y is the ratio rid 0. The form of the composition dependence of (d ~) is determined by a solution of the Ornstein Zernike equation for a pair in a mixture of hard spheres.

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Section: Determination Of the Composition Dependence Of (D 3)mentioning

confidence: 99%

“…terms in equations (2) and (3) are integrals in the form i oo I. = 4~ gnS(y, pd3)y2-, dy (6) where y = rid.…”

Section: + ~--~-)I 8 + Io mentioning

confidence: 99%

Evaluation of structural integrals in the perturbation of hard sphere mixture properties by intermolecular attraction in mixtures

1986

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“…The subject matter of these reviews have included a survey of available thermodynamic data for ten cryogens,14 several summaries of phase equilibria data and techniques,15-18 and a paper summarizing developments in the theory of fluid mixtures. 19 The major objectives of the present work are to present a status report on thermophysical properties data for cryogenic fluids, including mixtures, and to make general and specific recommendations for future experimental work based on both scientific and industrial considerations. The present work re8resents an update and expansion of a recent paper of Kidnay,et al 2 Although experimental data are only one part of the system that produces tables or mathematical representations of thermodynamic data, it is an indispensable part in that experimental data of the highest quality are essential in the development of theories and correlations for the prediction of thermophysical properties.…”

Section: Introductionmentioning

confidence: 99%