Macroscopic Expressions of Molecular Adiabatic Compressibility of Methyl and Ethyl Caprate under High Pressure and High Temperature
The molecular compressibility, which is a macroscopic quantity to reveal the microcompressibility by additivity of molecular constitutions, is considered as a fixed value for specific organic liquids. In this study, we introduced two calculated expressions of molecular adiabatic compressibility to d...
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| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/512576 |
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| author | Fuxi Shi Qin Zhang Jun Chen Hamid Reza Karimi |
| author_facet | Fuxi Shi Qin Zhang Jun Chen Hamid Reza Karimi |
| author_sort | Fuxi Shi |
| collection | DOAJ |
| description | The molecular compressibility, which is a macroscopic quantity to reveal the microcompressibility by additivity of molecular constitutions, is considered as a fixed value for specific organic liquids. In this study, we introduced two calculated expressions of molecular adiabatic compressibility to demonstrate its pressure and temperature dependency. The first one was developed from Wada’s constant expression based on experimental data of density and sound velocity. Secondly, by introducing the 2D fitting expressions and their partial derivative of pressure and temperature, molecular compressibility dependency was analyzed further, and a 3D fitting expression was obtained from the calculated data of the first one. The third was derived with introducing the pressure and temperature correction factors based on analogy to Lennard-Jones potential function and energy equipartition theorem. In wide range of temperatures (293<T/K<393) and pressures (0.1<P/MPa<210), which represent the typical values used in dynamic injection process for diesel engines, the calculated results consistency of three formulas demonstrated their effectiveness with the maximum 0.5384% OARD; meanwhile, the dependency on pressure and temperature of molecular compressibility was certified. |
| format | Article |
| id | doaj-art-3aa730112ffa4975aed54d81f085ea27 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3aa730112ffa4975aed54d81f085ea272025-02-03T05:47:47ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/512576512576Macroscopic Expressions of Molecular Adiabatic Compressibility of Methyl and Ethyl Caprate under High Pressure and High TemperatureFuxi Shi0Qin Zhang1Jun Chen2Hamid Reza Karimi3College of Mechanical and Electronic Engineering, Northwest A&F University, No. 22, Xinong Road, Yangling, Xi’an, Shaanxi 712100, ChinaDepartment of Biological Systems Engineering, Washington State University, Room 105 24106 N Bunn Road, Prosser, WA, USACollege of Mechanical and Electronic Engineering, Northwest A&F University, No. 22, Xinong Road, Yangling, Xi’an, Shaanxi 712100, ChinaDepartment of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, NorwayThe molecular compressibility, which is a macroscopic quantity to reveal the microcompressibility by additivity of molecular constitutions, is considered as a fixed value for specific organic liquids. In this study, we introduced two calculated expressions of molecular adiabatic compressibility to demonstrate its pressure and temperature dependency. The first one was developed from Wada’s constant expression based on experimental data of density and sound velocity. Secondly, by introducing the 2D fitting expressions and their partial derivative of pressure and temperature, molecular compressibility dependency was analyzed further, and a 3D fitting expression was obtained from the calculated data of the first one. The third was derived with introducing the pressure and temperature correction factors based on analogy to Lennard-Jones potential function and energy equipartition theorem. In wide range of temperatures (293<T/K<393) and pressures (0.1<P/MPa<210), which represent the typical values used in dynamic injection process for diesel engines, the calculated results consistency of three formulas demonstrated their effectiveness with the maximum 0.5384% OARD; meanwhile, the dependency on pressure and temperature of molecular compressibility was certified.http://dx.doi.org/10.1155/2014/512576 |
| spellingShingle | Fuxi Shi Qin Zhang Jun Chen Hamid Reza Karimi Macroscopic Expressions of Molecular Adiabatic Compressibility of Methyl and Ethyl Caprate under High Pressure and High Temperature Abstract and Applied Analysis |
| title | Macroscopic Expressions of Molecular Adiabatic Compressibility of Methyl and Ethyl Caprate under High Pressure and High Temperature |
| title_full | Macroscopic Expressions of Molecular Adiabatic Compressibility of Methyl and Ethyl Caprate under High Pressure and High Temperature |
| title_fullStr | Macroscopic Expressions of Molecular Adiabatic Compressibility of Methyl and Ethyl Caprate under High Pressure and High Temperature |
| title_full_unstemmed | Macroscopic Expressions of Molecular Adiabatic Compressibility of Methyl and Ethyl Caprate under High Pressure and High Temperature |
| title_short | Macroscopic Expressions of Molecular Adiabatic Compressibility of Methyl and Ethyl Caprate under High Pressure and High Temperature |
| title_sort | macroscopic expressions of molecular adiabatic compressibility of methyl and ethyl caprate under high pressure and high temperature |
| url | http://dx.doi.org/10.1155/2014/512576 |
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