A New Piecewise EOS for Compressibility Factor Prediction Based on the M-factor Theory

In this study for the first time a new description of compressibility factor is rendered based on the virial expansion. The compressibility factor as a function of M-factor is qualitatively and quantitatively expressed. At first, we present how may the third, fourth and higher order virial coefficie...

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Main Authors: Rasool Mohammadikhah, Hossein Abolghasemi, Ali Mohebbi
Format: Article
Language:English
Published: Iranian Institute of Research and Development in Chemical Industries (IRDCI)-ACECR 2010-06-01
Series:Iranian Journal of Chemistry & Chemical Engineering
Subjects:
Online Access:http://www.ijcce.ac.ir/article_6705_d4682edd8285470e4d6f27489918a7d8.pdf
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author Rasool Mohammadikhah
Hossein Abolghasemi
Ali Mohebbi,
author_facet Rasool Mohammadikhah
Hossein Abolghasemi
Ali Mohebbi,
author_sort Rasool Mohammadikhah
collection DOAJ
description In this study for the first time a new description of compressibility factor is rendered based on the virial expansion. The compressibility factor as a function of M-factor is qualitatively and quantitatively expressed. At first, we present how may the third, fourth and higher order virial coefficients be logically ignored in order to simplify the virial equation. The results show, when the compressibility factor is presented as a function of M-factor instead of pressure, an improved regression operation on experimental data is possible. Moreover, the results show the compressibility factor will not depend on kind of substance, if it is considered as a function of M-factor. Also we found that the compressibility factor can easily be estimated by a second order polynomial in respect to M-factor or in more mature form at most by a third order polynomial. The simplifying effects of M-factor to present the compressibility factor of some binary mixtures are investigated. It was found that the classical mixing rules can never be applied for predicting the compressibility factor under special conditions. Also we affirm the distinct characteristics of M-factor compared to its composer parameters, qualitatively. A quantitative study on M-factor properties, which supplies a prolegomena to a new comprehensive equation of state, was accomplished as well. We find the favorable EOS is a multi-domain function estimating experimental data with high accuracy.
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spelling doaj.art-a08e4bc80c5a46368eedac8d65af2b772022-12-22T00:11:20ZengIranian Institute of Research and Development in Chemical Industries (IRDCI)-ACECRIranian Journal of Chemistry & Chemical Engineering1021-99861021-99862010-06-0129267846705A New Piecewise EOS for Compressibility Factor Prediction Based on the M-factor TheoryRasool Mohammadikhah0Hossein Abolghasemi1Ali Mohebbi,2Engineering and Process Development Division, Research Institute of Petroleum Industry (RIPI), Tehran, I.R. IRANFaculty of Chemical Engineering, Tehran University, Tehran, I.R. IRANChemical Engineering Department, Shahid Bahonar University, Kerman, I.R. IRANIn this study for the first time a new description of compressibility factor is rendered based on the virial expansion. The compressibility factor as a function of M-factor is qualitatively and quantitatively expressed. At first, we present how may the third, fourth and higher order virial coefficients be logically ignored in order to simplify the virial equation. The results show, when the compressibility factor is presented as a function of M-factor instead of pressure, an improved regression operation on experimental data is possible. Moreover, the results show the compressibility factor will not depend on kind of substance, if it is considered as a function of M-factor. Also we found that the compressibility factor can easily be estimated by a second order polynomial in respect to M-factor or in more mature form at most by a third order polynomial. The simplifying effects of M-factor to present the compressibility factor of some binary mixtures are investigated. It was found that the classical mixing rules can never be applied for predicting the compressibility factor under special conditions. Also we affirm the distinct characteristics of M-factor compared to its composer parameters, qualitatively. A quantitative study on M-factor properties, which supplies a prolegomena to a new comprehensive equation of state, was accomplished as well. We find the favorable EOS is a multi-domain function estimating experimental data with high accuracy.http://www.ijcce.ac.ir/article_6705_d4682edd8285470e4d6f27489918a7d8.pdfcompressibility factoreosisothermm-factorvirial coefficients
spellingShingle Rasool Mohammadikhah
Hossein Abolghasemi
Ali Mohebbi,
A New Piecewise EOS for Compressibility Factor Prediction Based on the M-factor Theory
Iranian Journal of Chemistry & Chemical Engineering
compressibility factor
eos
isotherm
m-factor
virial coefficients
title A New Piecewise EOS for Compressibility Factor Prediction Based on the M-factor Theory
title_full A New Piecewise EOS for Compressibility Factor Prediction Based on the M-factor Theory
title_fullStr A New Piecewise EOS for Compressibility Factor Prediction Based on the M-factor Theory
title_full_unstemmed A New Piecewise EOS for Compressibility Factor Prediction Based on the M-factor Theory
title_short A New Piecewise EOS for Compressibility Factor Prediction Based on the M-factor Theory
title_sort new piecewise eos for compressibility factor prediction based on the m factor theory
topic compressibility factor
eos
isotherm
m-factor
virial coefficients
url http://www.ijcce.ac.ir/article_6705_d4682edd8285470e4d6f27489918a7d8.pdf
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