Patel-Teja cubic equation of state – A review of modifications and applications till 2022

The Patel-Teja equation of state (PT EOS) is extensively researched, modified, and applied three-parameter cubic equation of state for the prediction of volumetric and thermodynamic properties by both academia and industry. As a result, we have presented a review article on PT EOS covering its history and progress up to 2022. We attempted to compile all the modifications along with applications to PT EOS for both pure fluids and mixtures. The prediction of a similar critical compressibility factor for all fluids, followed by unreliable liquid density estimation using two-parameter equations of state, prompts researchers to seek a better alternative. Therefore, three-parameter equations of state were introduced with substance dependent critical compressibility factor which led to a better representation of liquid density. We divided modifications to PT EOS into three categories: (a) Modify expression of parameters (a,b, and c) or alpha functions (b) Introduce new terms in the expression of the equation of state (c) Propose new mixing rules or modify them for the application to mixtures.The generalized Patel-Teja-Valderrama equation of state (PTV EOS) is one of the most successful and widely used modifications of PT EOS. Despite significant efforts to improve the accuracy and performance of PT EOS, an accurate equation of state that applies to all situations remains elusive, necessitating further study and development in the field.