A note on the solutions of cubic equations of state in low temperature region

Ganti, S.Prakash; Sudheer, Gopinathan

doi:10.1016/j.molliq.2020.113808

Journal of Molecular Liquids

2020

DOI: 10.1016/j.molliq.2020.113808

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A note on the solutions of cubic equations of state in low temperature region

S.Prakash Ganti

Gopinathan Sudheer

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Cited by 6 publications

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An analysis about analytical calculation of volume roots from cubic equations of state

Steffen

Silva

2021

AIChE Journal

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The calculation of volume roots from cubic equation of state, for given temperature and pressure, is still an important operation both in industry and academic field. It is proposed the use of Ferrari's formula to calculate the pressure range containing three real positive roots (for pressure and temperature below the critical). In addition, a modification in the Cardano‐Tartáglia's formula is proposed to provide the roots in the ascending order. For low values of reduced temperatures, it is proposed a simple and efficient approximation method to avoid the round‐off errors presented by Cardano‐Tartáglia's formula. It is also proposed a method for calculating the saturation pressure from cubic equations of state. Examples of the methods proposed are presented for the Van der Waals, Soave‐Redlich‐Kwong e Peng‐Robinson equations of state in order to show the quality and reliability of the methods proposed.

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An analysis about analytical calculation of volume roots from cubic equations of state

Steffen

Silva

2021

AIChE Journal

View full text Add to dashboard Cite

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A Robust Algorithm for Roots Selection and Saturation Pressure Calculation for Cubic Equations of State

Junior

Pires²,

Henderson³

et al. 2022

J Solution Chem

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Enhancing cubic polynomial solutions: A comprehensive analysis and iterative refinement strategy in response to the versatility of cubic equations of state

Monroy-Loperena

2024

Fluid Phase Equilibria

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A note on the solutions of cubic equations of state in low temperature region

Cited by 6 publications

References 25 publications

An analysis about analytical calculation of volume roots from cubic equations of state

An analysis about analytical calculation of volume roots from cubic equations of state

A Robust Algorithm for Roots Selection and Saturation Pressure Calculation for Cubic Equations of State

Enhancing cubic polynomial solutions: A comprehensive analysis and iterative refinement strategy in response to the versatility of cubic equations of state

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