Correlation Between PVT Behavior and the Zero‐Shear Viscosity of Liquid Mixtures

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Abstract
Simha's statistical thermodynamicstheory, based on the cell/hole model, provides an excellent description of liquid properties in the full range of reduced variables P̃, Ṽ, and T̃. In addition, it provides the occupied site fraction y as a function of these reduced variables. Recently, the theory was rigorously extended to homogeneous liquid mixtures. During the last few years, an attempt was made to correlate the zero‐shear viscosity η with Y≡1/(1−y). The Y as a function of temperature T and pressure P was computed from Simha's theory for n‐paraffins ( C 5 to C 18 ), oligomers (polybutene‐1 and silicone oils), and polymers (poly(dimethyl siloxane), polystyrene, poly(methyl methacrylate), polyethylenes, polypropylene, etc.). It was found that the temperature‐ and pressure‐dependent zero‐shear viscosity η of these liquids is a function of Y(T,P). In the present work the method is being extended to mixtures of n‐paraffins.

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