Analysis of the state equations of a real gas at high pressures with the virial coefficients obtained from controlled chaotic oscillations
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Title: | Analysis of the state equations of a real gas at high pressures with the virial coefficients obtained from controlled chaotic oscillations |
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Authors: | Pérez Polo, Manuel | Pérez Molina, Manuel | Fernandez-Varo, Helena | Gil Chica, Francisco Javier |
Research Group/s: | Grupo de Control, Ingeniería de Sistemas y Transmisión de Datos | Holografía y Procesado Óptico |
Center, Department or Service: | Universidad de Alicante. Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal | Universidad de Alicante. Departamento de Óptica, Farmacología y Anatomía |
Keywords: | State equations | First Lyapunov value | Chaotic oscillations | Virial coefficients | Linear and nonlinear control |
Knowledge Area: | Ingeniería de Sistemas y Automática | Física Aplicada | Óptica |
Issue Date: | 22-Nov-2016 |
Publisher: | Elsevier |
Citation: | Chemical Engineering Science. 2016, 155: 482-503. doi:10.1016/j.ces.2016.09.005 |
Abstract: | This paper investigates several cubic and non-cubic state equations of real gases at high pressures by using the virial coefficients estimated from chaotic oscillations with a mechanical-thermal device. The mechanical part is formed by a cylinder with a piston whose motion is limited by means of a nonlinear spring, a damper and a nonlinear control force to decouple the mechanical and thermal subsystems. To maintain the gas temperature approximately constant, a linear PI controller and a nonlinear control law which manipulates the flow rate of two heating coils inside the cylinder are added. The stability of the mechanical subsystem is analyzed through the first Lyapunov value, whose harmonic variation leads to chaotic behavior with great pressures and an almost constant temperature. The chaotic simulations for nonpolar gases are treated like experimental data to obtain an arbitrary number of virial coefficients which reproduce the state equation in a prescribed pressure range. The validity of the proposed device has been corroborated by using another alternative route to chaos and calculating the fugacity coefficient. The analytical calculations are in good agreement with the numerical simulations. |
URI: | http://hdl.handle.net/10045/63409 |
ISSN: | 0009-2509 (Print) | 1873-4405 (Online) |
DOI: | 10.1016/j.ces.2016.09.005 |
Language: | eng |
Type: | info:eu-repo/semantics/article |
Rights: | © 2016 Elsevier Ltd. |
Peer Review: | si |
Publisher version: | http://dx.doi.org/10.1016/j.ces.2016.09.005 |
Appears in Collections: | INV - GHPO - Artículos de Revistas INV - GCIST - Artículos de Revistas |
Files in This Item:
File | Description | Size | Format | |
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2016_Perez-Polo_etal_ChemEngSci_final.pdf | Versión final (acceso restringido) | 5,67 MB | Adobe PDF | Open Request a copy |
2016_Perez-Polo_etal_ChemEngSci_rev.pdf | Versión revisada (acceso abierto) | 1,7 MB | Adobe PDF | Open Preview |
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