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Communication Dans Un Congrès Année : 2013

Thermodynamic scaling of the shear viscosity: Mie fluids and real mixtures

Résumé

In their seminal paper, Ashurst and Hoover1 have shown that the shear viscosity of simple dense fluids can be expressed as a (unknown) function of TV only, so-called "thermodynamic scaling", where T is the temperature, V the volume and  a parameter that is characteristic of the repulsion steepness of the fluid particles. More recently it has been shown that this thermodynamic scaling holds for a large class of liquids2 and can be extended to deal with moderate density3. The simultaneous description of thermodynamics and transport properties with the same underlying effective "molecular" model is usually difficult to achieve, even for very simple molecules. Recently4,5 it has been shown that using Mie potentials to describe the interaction between the atoms/molecules may be an efficient choice to tackle that problem without using too many molecular parameters. Thus, a viscosity database of the Mie n-6 fluid (n being the repulsion exponent) has been constructed for a wide range of thermodynamic conditions using extensive non-equilibrium molecular dynamics (NEMD) simulations (for n varying between 7 and 48). Then, it has been verified that the thermodynamic scaling approach can be applicable for such a model simple fluid. As expected, it has been found that the optimal  parameter is closely related to the n value as well known for purely repulsive potential1. It is worth emphasizing that such a result provides an interesting way to estimate, from viscosity measurements, the steepness of the effective repulsion occurring between the molecules of a given pure real fluid. In addition the applicability of the thermodynamic scaling on model (Mie) and real (alcohols, alkanes ...) mixtures has been verified. Rather interestingly, it has been found that the value of  in mixtures can be simply deduced from the values of the pure components of the mixture.
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Dates et versions

hal-00868253 , version 1 (01-10-2013)

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  • HAL Id : hal-00868253 , version 1

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Guillaume Galliero, Stephanie Delage Santacreu, Jean-Patrick Bazile, Josefa Fernandez, Christian Boned. Thermodynamic scaling of the shear viscosity: Mie fluids and real mixtures. 10th Asian Thermophysical Properties Conference (ATPC 2013), Sep 2013, Jeju, South Korea. ⟨hal-00868253⟩

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