Transport properties of simple non polar binary liquid mixtures

Abstract

Theorems of corresponding states for predicting the temperature and density dependence of liquid mixture transport properties are presented. The technique is tested for thirteen systems of spherical molecules (eight cryogenic mixtures, and five others) in which viscosity is predicted within 3 %. For cryogenic mixtures, temperatures range from the triple point to temperatures close to the critical. In the present method, the only quantities required are pair potential parameters between like pair interactions, as determined from gas phase viscosity measurements, and pure component data.The lack of accurate measurements of thermal conductivity and diffusivity (mutual or self diffusion coefficients) for mixtures of spherical molecules does not make it possible to test the present theory of those transport properties. ransport properties of liquified simple mixtures are required

Transport Properties of Liquid Mixtures (n-Paraffins) and the Theorem of Corresponding States

“…The main advantages of the method we are about to develop are as follows: (a) no adjustable mixture parameters are required; hence the present method is predictive; (b) capability of describing both temperature and density (pressure) dependence of the mixture transport properties; (c) applicability to all transport properties; and, (d) ease with which the present method can be extended to mixtures of more than two components. Finally it should be pointed out that the present theory reduces properly to that of spherical molecules (r = 1) presented earlier by Brunet and Doan (1970).…”

“…In principle, pure component data are not required since a generalized correlation is available from the work of Doan and Brunet (1972). The present work amounts to an extension of earlier works of Brunet and Doan (1970), Tham and Gubbins (1969), Preston, et a/. (1967), and Thomaes (1 959).…”

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Prigogine, et al (1957), developed theorems of corresponding states for thermodynamic properties. Their approach has recently been extended to include transport properties of mixtures of spherical molecules (Brunet and Doan, 1970) as well as pure r-mers (Doan and Brunet, 1972). In the present paper the method is extended to mixtures of r-mer molecules.

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“…As in the case of simple liquid mixtures, we shall first calculate the average composition-dependent parameters (r, C/q, e, and ) for the mixture, and then develop suitable master equations from which mixture transport properties could be calculated. The procedure for mixtures of r-mers is then analogous to that employed for simple liquid mixtures, the details of which are reported in the work of Brunet and Doan (1970).…”

Transport properties of chain molecules and the theorem of corresponding states

“…Equations (8) to (10) were arrived at using both dimensional analysis and empirical notions about a liquid. For instance, the more contacts a molecule has, the higher its viscosity, the smaller its diffusivity, etc.…”