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Publication: Generic van der Waals Equation of State, Modified Free Volume Theory of Diffusion, and Viscosity of Simple Liquids

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Title Generic van der Waals Equation of State, Modified Free Volume Theory of Diffusion, and Viscosity of Simple Liquids
Authors/Editors* Rozita Laghaei, Afshin Eskandari Nasrabad, and Byung Chan Eu
Where published* Journal of Physical Chemistry B
How published* Journal
Year* 2005
Volume 109
Number 0
Pages 5873
Publisher xxxxx
Keywords
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Abstract
The shear viscosity formula derived in the density fluctuation theory in previous papers is computed for argon, krypton, and methane by using the self-diffusion coefficients derived in the modified free volume theory with the help of the generic van der Waals equation of state. In the temperature regime near or above the critical temperature the density dependence of the shear viscosity can be accounted for ab initio with the self-diffusion coefficients provided by the modified free volume theory if the minimum (critical) free volume is set equal to the molecular volume and the volume overlap parameter (รก) is taken about unity in the expression for the self-diffusion coefficient. In the subcritical temperature regime, if the density fluctuation range parameter is chosen appropriately at a temperature, the resulting expression for the shear viscosity can well account for its density and temperature dependence over the ranges of density and temperature experimentally studied. In the sense that once the density fluctuation range is fixed at a temperature the theory can account for the experimental data at other subcritical temperatures on the basis of the intermolecular force only, the theory is predictive even in the subcritical regime of temperature. Theory is successfully tested in comparison with experimental data for self-diffusion coefficients and shear viscosity for argon, krypton, and methane.
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