Analysis and Comparison of the Alpha Functions of SRK Equation of State
Alpha functions of Soave-Redlich-Kwong （SRK） equation of state proposed by Soave, Twu, and Luo were different in mathematic tendency. They were compared in modeling methane-alkanes equilibria with van der Waals mixing rule and Modified Huron-Vidal （MHV1） mixing rule, respectively. Results showed tha...
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| Published in | Chinese journal of chemical engineering Vol. 16; no. 5; pp. 766 - 771 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
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Elsevier B.V
01.10.2008
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| Abstract | Alpha functions of Soave-Redlich-Kwong （SRK） equation of state proposed by Soave, Twu, and Luo were different in mathematic tendency. They were compared in modeling methane-alkanes equilibria with van der Waals mixing rule and Modified Huron-Vidal （MHV1） mixing rule, respectively. Results showed that Luo＇s alpha function was a little more accurate than Soave＇s, and Twu＇s alpha function lacked accuracy in modeling methane-alkanes equilibrium. SRK equation of state was expanded as virial form, and then the equivalent terms were contrasted with terms of virial equation of state. Results showed that Soave＇s and Luo＇s alpha functions matched the tendency of virial coefficient better than Twu＇s, and Luo＇s alpha function matched better than Soave＇s in wide temperature range, which sustained the conclusions of phase equilibria calculation. Luo＇s alpha function keeps decreasing when Tr〉 1 and becomes negative at sufficient high temperature, thus the conventional cubic equation of state expressed pressure as the sum of repulsion pressure PR （〉0）, and attraction pressure PA （〈0） could be improved to be the sum of hard-sphere repulsion pressure PH （〉0） and intermolecular force pressure P1 （P1〈0 at low temperature and p1〉0 at sufficient high temperature）. |
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| AbstractList | Alpha functions of Soave-Redlich-Kwong （SRK） equation of state proposed by Soave, Twu, and Luo were different in mathematic tendency. They were compared in modeling methane-alkanes equilibria with van der Waals mixing rule and Modified Huron-Vidal （MHV1） mixing rule, respectively. Results showed that Luo＇s alpha function was a little more accurate than Soave＇s, and Twu＇s alpha function lacked accuracy in modeling methane-alkanes equilibrium. SRK equation of state was expanded as virial form, and then the equivalent terms were contrasted with terms of virial equation of state. Results showed that Soave＇s and Luo＇s alpha functions matched the tendency of virial coefficient better than Twu＇s, and Luo＇s alpha function matched better than Soave＇s in wide temperature range, which sustained the conclusions of phase equilibria calculation. Luo＇s alpha function keeps decreasing when Tr〉 1 and becomes negative at sufficient high temperature, thus the conventional cubic equation of state expressed pressure as the sum of repulsion pressure PR （〉0）, and attraction pressure PA （〈0） could be improved to be the sum of hard-sphere repulsion pressure PH （〉0） and intermolecular force pressure P1 （P1〈0 at low temperature and p1〉0 at sufficient high temperature）. Alpha functions of Soave-Redlich-Kwong (SRK) equation of state proposed by Soave, Twu, and Luo were different in mathematic tendency. They were compared in modeling methane-alkanes equilibria with van der Waals mixing rule and Modified Huron-Vidal (MHV1) mixing rule, respectively. Results showed that Luo's alpha function was a little more accurate than Soave's, and Twu's alpha function lacked accuracy in modeling methane-alkanes equilibrium. SRK equation of state was expanded as virial form, and then the equivalent terms were contrasted with terms of virial equation of state. Results showed that Soave's and Luo's alpha functions matched the tendency of virial coefficient better than Twu's, and Luo's alpha function matched better than Soave's in wide temperature range, which sustained the conclusions of phase equilibria calculation. Luo's alpha function keeps decreasing when T r>1 and becomes negative at sufficient high temperature, thus the conventional cubic equation of state expressed pressure as the sum of repulsion pressure p R (>0), and attraction pressure p A (<0) could be improved to be the sum of hard-sphere repulsion pressure p H (>0) and intermolecular force pressure p I ( p I<0 at low temperature and p I>0 at sufficient high temperature). Alpha functions of Soave-Redlich-Kwong (SRK) equation of state proposed by Soave, Twu, and Luo were different in mathematic tendency. They were compared in modeling methane-alkanes equilibria with van der Waals mixing rule and Modified Huron-Vidal (MHV1) mixing rule, respectively. Results showed that Luo's alpha function was a little more accurate than Soave's, and Twu's alpha function lacked accuracy in modeling methane-alkanes equilibrium. SRK equation of state was expanded as virial form, and then the equivalent terms were contrasted with terms of virial equation of state. Results showed that Soave's and Luo's alpha functions matched the tendency of virial coefficient better than Twu's, and Luo's alpha function matched better than Soave's in wide temperature range, which sustained the conclusions of phase equilibria calculation. Luo's alpha function keeps decreasing when Tr > 1 and becomes negative at sufficient high temperature, thus the conventional cubic equation of state expressed pressure as the sum of repulsion pressure pR ( > 0), and attraction pressure pA ( < 0) could be improved to be the sum of hard-sphere repulsion pressure pH ( > 0) and intermolecular force pressure pI (pI < 0 at low temperature and pI > 0 at sufficient high temperature). |
| Author | 罗明检 胡冰 姜涛 夏淑倩 马沛生 |
| AuthorAffiliation | School of Chemistry and Chemical Engineering, Daqing Petroleum Institute, Daqing 163318, China Key Laboratory for Green Chemical Technology, School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, China |
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| CitedBy_id | crossref_primary_10_1016_j_fluid_2021_113037 crossref_primary_10_1016_S1004_9541_08_60278_5 crossref_primary_10_1021_acs_iecr_8b02549 crossref_primary_10_1016_j_geothermics_2019_101713 crossref_primary_10_1016_j_seta_2020_100713 crossref_primary_10_1016_j_jngse_2020_103259 crossref_primary_10_1021_ie9011003 crossref_primary_10_1016_j_cryogenics_2021_103299 |
| Cites_doi | 10.1002/aic.690380505 10.1016/0378-3812(94)80043-X 10.1016/0009-2509(82)80099-7 10.1021/i260068a009 10.1016/0378-3812(90)85053-D 10.1021/ie970472v 10.1021/cr60137a013 10.1002/cjce.5450640224 10.1016/0378-3812(91)85038-V 10.1021/i160057a011 10.1016/0378-3812(94)02602-W 10.1016/0009-2509(72)80096-4 10.1021/ja01567a007 10.1016/0378-3812(90)85042-9 10.1016/S1004-9541(07)60041-X 10.1016/0378-3812(79)80001-1 10.1002/aic.690210607 10.1002/aic.690200209 10.1016/0378-3812(95)02792-0 10.1002/aic.690361207 10.1002/aic.690290115 10.1016/0378-3812(83)80084-3 |
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| Snippet | Alpha functions of Soave-Redlich-Kwong （SRK） equation of state proposed by Soave, Twu, and Luo were different in mathematic tendency. They were compared in... Alpha functions of Soave-Redlich-Kwong (SRK) equation of state proposed by Soave, Twu, and Luo were different in mathematic tendency. They were compared in... |
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| SubjectTerms | equation of state intermolecular force phase equilibria SRK方程 virial coefficient 化工计算 状态方程 相平衡 |
| Title | Analysis and Comparison of the Alpha Functions of SRK Equation of State |
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