Application of the van der Waals equation of state to polymers III. Correlation and prediction of upper critical solution temperatures for polymer solutions

Solid−Liquid−Liquid Equilibria in Polymer Solutions

“…Nevertheless, these numbers seem to be reasonable, since physically meaningful results are finally obtained (see, for example, the liquid-liquid equilibrium predictions of Saraiva et al (1995), Kontogeorgis et al (1995), and Harismiadis et al (1994b)). In all cases, the activity coefficient per structural unit of the polymer has reasonable values.…”

A novel approach to liquid–liquid equilibrium in polymer systems with application to simplified PC-SAFT

“…This system displays unusual "closed-loop" behaviour, where the UCST lies above the LCST. Equations of state that have been applied to polymer systems include the van der Waals [8,9] and Sako-Wu-Prausnitz [10] equation of state. The SAFT equation of state, developed in the late eighties [11], is a non-cubic, segment-based equation of state which was designed specifically to deal with systems containing polymers and associating fluids.…”

Methods for the Measurement of Solvent Activity of Polymer Solutions

“…378 Temperature functions and combining/mixing rules for parameters a, b, c are not discussed here because quite different approximations may be used. [375][376][377][378][379][380] Orbey and Sandler 380 applied the Peng-Robinson equation of state as modified by Stryjek and Vera 381 (PRSV): which are particularly suitable for highly asymmetric systems, i.e., also polymer solutions, and demonstrated that only one adjustable temperature-independent parameter is necessary for calculations within a wide range of temperatures. [375][376][377][378][379][380] Orbey and Sandler 380 applied the Peng-Robinson equation of state as modified by Stryjek and Vera 381 (PRSV): which are particularly suitable for highly asymmetric systems, i.e., also polymer solutions, and demonstrated that only one adjustable temperature-independent parameter is necessary for calculations within a wide range of temperatures.…”

“…Harrismiadis et al379 worked out some similarities between activity coefficients derived from van der Waals like equations-of-state and Equations (4.4.92 and 93), i.e., the Elbrofv model. Harrismiadis et al379 worked out some similarities between activity coefficients derived from van der Waals like equations-of-state and Equations (4.4.92 and 93), i.e., the Elbrofv model.…”