Mathematical Analysis of Discontinuous Rectification Columns at Pilot Scale Based on the Continuous Stable States Concept and MESH Equations
Mathematical analysis and simulation of a discontinuous rectification column was performed using an operational strategy during the start-up before reaching a pseudo-stable state in discontinuous operation. The mathematical model was formulated focusing on the equilibrium state (ES) and implementing...
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| Format: | Online |
| Language: | eng |
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Universidad Pedagógica y Tecnológica de Colombia
2022
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| Online Access: | https://revistas.uptc.edu.co/index.php/ingenieria/article/view/14023 |
| _version_ | 1801706098237898752 |
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| author | Diaz-Angulo, Jennyfer Barbosa-Meza, Alfonso Machuca-Martínez, Fiderman Mueses, Miguel-Ángel |
| author_facet | Diaz-Angulo, Jennyfer Barbosa-Meza, Alfonso Machuca-Martínez, Fiderman Mueses, Miguel-Ángel |
| author_sort | Diaz-Angulo, Jennyfer |
| collection | OJS |
| description | Mathematical analysis and simulation of a discontinuous rectification column was performed using an operational strategy during the start-up before reaching a pseudo-stable state in discontinuous operation. The mathematical model was formulated focusing on the equilibrium state (ES) and implementing MESH equations (M: Mass balance, E: Equilibrium thermodynamics, S: Stoichiometry relations, H: Enthalpy or heat balance) to provide solutions using the Thomas method and the Wang-Henke algorithms internally coupled to the Fourth Order Runge-Kutta method. The results were validated with experimental data from a distillation column at a pilot scale using an ethanol-water system with an equilibrium behavior described by the UNIQUAC Functional-group Activity Coefficients (UNIFAC) and Predictive Soave-Redlich-Kwong (PSRK) thermodynamic models with a global error of 1.84%. The molar ethanol concentrations presented deviations from the mathematical model predictions from 1.51% to 0.02%, with a global mean error of 0.48%. A mean error of 0.055% was obtained for the temperature profile of the column, thus demonstrating the effectiveness of the solution and its convergence capacity. The solution based on the Thomas method and the Wang-Henke algorithms coupled to the Runge-Kutta method made it possible to describe the behavior and variables of all stages of the distillation column. Operation at total reflux from start-up avoids wasting product and allows for the stabilization of the state variables, such as temperature and molar composition. |
| format | Online |
| id | oai:oai.revistas.uptc.edu.co:article-14023 |
| institution | Revista Facultad de Ingeniería |
| language | eng |
| publishDate | 2022 |
| publisher | Universidad Pedagógica y Tecnológica de Colombia |
| record_format | ojs |
| spelling | oai:oai.revistas.uptc.edu.co:article-140232022-11-18T19:23:54Z Mathematical Analysis of Discontinuous Rectification Columns at Pilot Scale Based on the Continuous Stable States Concept and MESH Equations Análisis matemático de una columna de rectificación discontinua a escala piloto bajo el concepto de estados estables continuos y las ecuaciones MESH Diaz-Angulo, Jennyfer Barbosa-Meza, Alfonso Machuca-Martínez, Fiderman Mueses, Miguel-Ángel PSRK method Thomas algorithm UNIFAC model UNIQUAC model Wang-Henke algorithm algoritmo de Thomas algoritmo de Wang-Henke método PSRK modelo UNIFAC modelo UNIQUAC Mathematical analysis and simulation of a discontinuous rectification column was performed using an operational strategy during the start-up before reaching a pseudo-stable state in discontinuous operation. The mathematical model was formulated focusing on the equilibrium state (ES) and implementing MESH equations (M: Mass balance, E: Equilibrium thermodynamics, S: Stoichiometry relations, H: Enthalpy or heat balance) to provide solutions using the Thomas method and the Wang-Henke algorithms internally coupled to the Fourth Order Runge-Kutta method. The results were validated with experimental data from a distillation column at a pilot scale using an ethanol-water system with an equilibrium behavior described by the UNIQUAC Functional-group Activity Coefficients (UNIFAC) and Predictive Soave-Redlich-Kwong (PSRK) thermodynamic models with a global error of 1.84%. The molar ethanol concentrations presented deviations from the mathematical model predictions from 1.51% to 0.02%, with a global mean error of 0.48%. A mean error of 0.055% was obtained for the temperature profile of the column, thus demonstrating the effectiveness of the solution and its convergence capacity. The solution based on the Thomas method and the Wang-Henke algorithms coupled to the Runge-Kutta method made it possible to describe the behavior and variables of all stages of the distillation column. Operation at total reflux from start-up avoids wasting product and allows for the stabilization of the state variables, such as temperature and molar composition. Se realizó el análisis matemático y la simulación de una columna de rectificación discontinua utilizando una estrategia operativa durante la puesta en marcha antes de alcanzar un estado pseudoestable en operación discontinua. El modelo matemático se formuló enfocándose en el estado de equilibrio (ES) e implementando ecuaciones MESH (M: balance de masa, E: termodinámica del equilibrio, S: relaciones estequiométricas, H: entalpía o balance de calor) para brindar soluciones utilizando el método de Thomas y el método de Wang. -Algoritmos de Henke acoplados internamente al método Runge-Kutta de Cuarto Orden. Los resultados fueron validados con datos experimentales de una columna de destilación a escala piloto utilizando un sistema etanol-agua con un comportamiento de equilibrio descrito por los modelos termodinámicos UNIQUAC Functional-group Activity Coficients (UNIFAC) y Predictive Soave-Redlich-Kwong (PSRK) con un error global del 1,84%. Las concentraciones molares de etanol presentaron desviaciones de las predicciones del modelo matemático de 1,51% a 0,02%, con un error medio global de 0,48%. Se obtuvo un error medio de 0.055% para el perfil de temperatura de la columna, demostrando así la efectividad de la solución y su capacidad de convergencia. La solución basada en el método de Thomas y los algoritmos de Wang-Henke acoplados al método de Runge-Kutta permitió describir el comportamiento y las variables de todas las etapas de la columna de destilación. El funcionamiento a reflujo total desde el arranque evita desperdicios de producto y permite estabilizar las variables de estado, como temperatura y composición molar. Universidad Pedagógica y Tecnológica de Colombia 2022-03-31 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf text/xml https://revistas.uptc.edu.co/index.php/ingenieria/article/view/14023 10.19053/01211129.v31.n59.2022.14023 Revista Facultad de Ingeniería; Vol. 31 No. 59 (2022): January-March 2022 (Continuous Publication); e14023 Revista Facultad de Ingeniería; Vol. 31 Núm. 59 (2022): Enero-Marzo 2022 (Publicación Continua); e14023 2357-5328 0121-1129 eng https://revistas.uptc.edu.co/index.php/ingenieria/article/view/14023/11605 https://revistas.uptc.edu.co/index.php/ingenieria/article/view/14023/11682 Copyright (c) 2022 Jennyfer Diaz-Angulo, Alfonso Barbosa-Meza, Fiderman Machuca-Martínez, Miguel-Ángel Mueses http://creativecommons.org/licenses/by/4.0 |
| spellingShingle | PSRK method Thomas algorithm UNIFAC model UNIQUAC model Wang-Henke algorithm algoritmo de Thomas algoritmo de Wang-Henke método PSRK modelo UNIFAC modelo UNIQUAC Diaz-Angulo, Jennyfer Barbosa-Meza, Alfonso Machuca-Martínez, Fiderman Mueses, Miguel-Ángel Mathematical Analysis of Discontinuous Rectification Columns at Pilot Scale Based on the Continuous Stable States Concept and MESH Equations |
| title | Mathematical Analysis of Discontinuous Rectification Columns at Pilot Scale Based on the Continuous Stable States Concept and MESH Equations |
| title_alt | Análisis matemático de una columna de rectificación discontinua a escala piloto bajo el concepto de estados estables continuos y las ecuaciones MESH |
| title_full | Mathematical Analysis of Discontinuous Rectification Columns at Pilot Scale Based on the Continuous Stable States Concept and MESH Equations |
| title_fullStr | Mathematical Analysis of Discontinuous Rectification Columns at Pilot Scale Based on the Continuous Stable States Concept and MESH Equations |
| title_full_unstemmed | Mathematical Analysis of Discontinuous Rectification Columns at Pilot Scale Based on the Continuous Stable States Concept and MESH Equations |
| title_short | Mathematical Analysis of Discontinuous Rectification Columns at Pilot Scale Based on the Continuous Stable States Concept and MESH Equations |
| title_sort | mathematical analysis of discontinuous rectification columns at pilot scale based on the continuous stable states concept and mesh equations |
| topic | PSRK method Thomas algorithm UNIFAC model UNIQUAC model Wang-Henke algorithm algoritmo de Thomas algoritmo de Wang-Henke método PSRK modelo UNIFAC modelo UNIQUAC |
| topic_facet | PSRK method Thomas algorithm UNIFAC model UNIQUAC model Wang-Henke algorithm algoritmo de Thomas algoritmo de Wang-Henke método PSRK modelo UNIFAC modelo UNIQUAC |
| url | https://revistas.uptc.edu.co/index.php/ingenieria/article/view/14023 |
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