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Efficient evaluation of vapour–liquid equilibria from multi-parameter thermodynamic models using differential algebra

Efficient evaluation of vapour–liquid equilibria from multi-parameter thermodynamic models using differential algebra
Efficient evaluation of vapour–liquid equilibria from multi-parameter thermodynamic models using differential algebra
An efficient method is proposed to evaluate the Vapour–Liquid Equilibrium (VLE) curve for complex multi-parameter technical and reference thermodynamic equations of state, in connection with Computational Fluid Dynamics (CFD) simulations of compressible flows of real gases. Differential algebra techniques are used to obtain an approximation of the VLE curve from the reference equation of state of carbon dioxide. Seven fourth-order Taylor polynomials are required to approximate the VLE curve for a reduced pressure between 0.7 and 1, with an error on density below 0.04%, except near the critical point where the error is around 0.1%. The proposed approach is proved to be a suitable alternative to standard Look-Up Table (LUT) techniques, with comparable accuracy and computational burden. Moreover, the explicit use of the model analytical expression in the determination of the polynomial expansions allows to reduce the number of expansion poles and it will possibly simplify the approximation of different fluids, including mixtures.
0377-0427
Re, Barbara
94b64e0d-93a5-45b4-879e-7db2eb969369
Armellin, R.
61950d5c-3dcf-45f5-b391-7e8c6ffb8e6f
Nannan, Nawin Ryan
f696efd7-e950-4f62-a679-b48dcf017d93
Guardone, Alberto
6b6717c2-c9be-4305-8691-08bc2b4c9f32
Re, Barbara
94b64e0d-93a5-45b4-879e-7db2eb969369
Armellin, R.
61950d5c-3dcf-45f5-b391-7e8c6ffb8e6f
Nannan, Nawin Ryan
f696efd7-e950-4f62-a679-b48dcf017d93
Guardone, Alberto
6b6717c2-c9be-4305-8691-08bc2b4c9f32

Re, Barbara, Armellin, R., Nannan, Nawin Ryan and Guardone, Alberto (2014) Efficient evaluation of vapour–liquid equilibria from multi-parameter thermodynamic models using differential algebra. Journal of Computational and Applied Mathematics. (doi:10.1016/j.cam.2014.05.005).

Record type: Article

Abstract

An efficient method is proposed to evaluate the Vapour–Liquid Equilibrium (VLE) curve for complex multi-parameter technical and reference thermodynamic equations of state, in connection with Computational Fluid Dynamics (CFD) simulations of compressible flows of real gases. Differential algebra techniques are used to obtain an approximation of the VLE curve from the reference equation of state of carbon dioxide. Seven fourth-order Taylor polynomials are required to approximate the VLE curve for a reduced pressure between 0.7 and 1, with an error on density below 0.04%, except near the critical point where the error is around 0.1%. The proposed approach is proved to be a suitable alternative to standard Look-Up Table (LUT) techniques, with comparable accuracy and computational burden. Moreover, the explicit use of the model analytical expression in the determination of the polynomial expansions allows to reduce the number of expansion poles and it will possibly simplify the approximation of different fluids, including mixtures.

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e-pub ahead of print date: 13 May 2014
Organisations: Aeronautics, Astronautics & Comp. Eng

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Local EPrints ID: 366758
URI: http://eprints.soton.ac.uk/id/eprint/366758
ISSN: 0377-0427
PURE UUID: 0721a4e0-12be-46e6-9332-6b219626b466

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Date deposited: 09 Jul 2014 15:24
Last modified: 19 Jul 2019 21:08

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Contributors

Author: Barbara Re
Author: R. Armellin
Author: Nawin Ryan Nannan
Author: Alberto Guardone

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