(53q) Everything You Want to Know about the Van Der Waals Cubic Equations of State without Asking

Johannes D. Van der Waals of Leiden, Netherlands in Holland established the theory of cubic equations of state in 1873 and over 2500+ cubic of state and their variants have appeared in the literature by 2016. In this contribution, we lay out eight major applications of the Van der Waals concept of cubic equations in other areas of fluid properties besides the well-known computation of phase equilibria. The eight areas are enumerated as follow: (1) process simulation and compositional reservoir modeling, (2) thermodynamic and thermophysical properties (enthalpy, heat of vaporization, entropy, internal energy, heat capacity, speed of sound, Joule-Thomson coefficient, Gibbs free energy), (3) transport properties (dynamic viscosity, kinematic viscosity, thermal conductivity, thermal diffusivity, diffusivity (diffusion coefficient), prandtl number, Eucken number and interfacial tension), (4) second virial coefficient and cross-second virial coefficient as a measure of the two-body intermolecular force parameters for the Van der Waals molecular volume which can be used to establish binary interaction constants in the combining rules of the mixture parameters of the Van der Waals cubic equations of state, (5) excess properties (excess volume, excess enthalpy, excess entropy, excess heat capacity) and rigorous criteria for gas-liquid critical phenomenon can be established by the Gibbs free energy cubic equation of state; thus, a single function of G = f (T, P, x) can be derived for liquid properties, (6) the principle of corresponding hydrodynamic states for transport properties in mass transfer coefficient of stirred tank fitted with helical coil, (7) computation of pressure-drop in multiphase fluid regimes using Reynolds number as criteria for laminar to turbulent fluid regimes transition, (8) mechanistic constituent equations of pulp and paper exhibiting the Van der Waals spinodal loop.