A Modified van der Waals Mixture Theory for Associating Fluids: Application to Ternary Aqueous Mixtures

a modified van der waals mixture theory for associating fluids: application to ternary aqueous mixtures

in this study a simple and general chemical association theory is introduced. the concept of infinite equilibrium model is re-examined and true mole fractions of associated species are calculated. the theory is applied to derive the distribution function of associated species. as a severe test the application of presented theory to the van der waals mixture model is introduced in order to perfo...

A van der Waals-type equation of state for fluids with associating molecules.

The basic assumptions of van der Waals theory are contained in two well-known concepts: excluded volume (repulsive forces) and a homogeneous, isotropic field potential (attractive forces). We have superimposed on these, one more well-known concept: the existence of dimers, trimers, etc., at chemical equilibrium. With reasonable simplifying assumptions, we obtain a closed-form equation of state,...

Numerical Modelling of van der Waals Fluids

Dynamic van der Waals theory.

We present a dynamic van der Waals theory starting with entropy and energy functional with gradient contributions. The resultant hydrodynamic equations contain the stress arising from the density gradient. It provides a general scheme of two-phase hydrodynamics involving the gas-liquid transition in nonuniform temperature. Some complex hydrodynamic processes with evaporation and condensation ar...

Steady States of Some Models for Van der Waals Fluids

We study the steady states of some models for van der Waals uid. In particular, for a mass viscosity model, we show that there is no \cavitation" wave. We also consider the closed orbits, heteroclinic orbits, and their relation with Maxwell construction, for diierent models with regularization terms.

Statistical mechanics of simple fluids: beyond van der Waals

Dense fluids, defined to include both dense gases and liquids, have the reputation of being especially difficult to deal with theoretically. This reputation is not undeserved. Unlike dilute gases and crystalline solids, which can be thought of as deviants from well understood ideal states, the ideal gas and the ideal harmonic crystal, the dense fluid lies far from any recognizable landmark. Thi...