<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0121-1129</journal-id>
<journal-title><![CDATA[Revista Facultad de Ingeniería]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Fac. ing.]]></abbrev-journal-title>
<issn>0121-1129</issn>
<publisher>
<publisher-name><![CDATA[Universidad Pedagógica y Tecnológica de Colombia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0121-11292022000100206</article-id>
<article-id pub-id-type="doi">10.19053/01211129.v31.n59.2022.14023</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Mathematical Analysis of Discontinuous Rectification Columns at Pilot Scale Based on the Continuous Stable States Concept and MESH Equations]]></article-title>
<article-title xml:lang="es"><![CDATA[Análisis matemático de una columna de rectificación discontinua a escala piloto bajo el concepto de estados estables continuos y las ecuaciones MESH]]></article-title>
<article-title xml:lang="pt"><![CDATA[Análise matemática de uma coluna de retificação descontínua em escala piloto sob o conceito de estados estáveis &#8203;&#8203;contínuos e as equações MESH]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Díaz-Angulo]]></surname>
<given-names><![CDATA[Jennyfer]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Barboza-Meza]]></surname>
<given-names><![CDATA[Alfonso]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Machuca-Martínez]]></surname>
<given-names><![CDATA[Fiderman]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Mueses]]></surname>
<given-names><![CDATA[Miguel-Ángel]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Servicio Nacional de Aprendizaje - SENA  ]]></institution>
<addr-line><![CDATA[Cali Valle del Cauca]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad de Cartagena Departamento de Ingeniería Química ]]></institution>
<addr-line><![CDATA[Cartagena Bolívar]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad del Valle  ]]></institution>
<addr-line><![CDATA[Cali Valle del Cauca]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Universidad de Cartagena Departamento de Ingeniería Química ]]></institution>
<addr-line><![CDATA[Cartagena Bolívar]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>03</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>03</month>
<year>2022</year>
</pub-date>
<volume>31</volume>
<numero>59</numero>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0121-11292022000100206&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0121-11292022000100206&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0121-11292022000100206&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract 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.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen 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.]]></p></abstract>
<abstract abstract-type="short" xml:lang="pt"><p><![CDATA[Resumo Foi realizada uma análise matemática e simulação de uma coluna de retificação em lote usando uma estratégia de operação durante a partida antes de atingir um estado pseudo-estacionário na operação em lote. O modelo matemático foi formulado com foco no estado de equilíbrio (ES) e implementando equações MESH (M: balanço de massa, E: termodinâmica de equilíbrio, S: razões estequiométricas, H: entalpia ou balanço de calor) para fornecer soluções usando o método de Thomas e o método de Wang -Algoritmos Henke acoplados internamente ao método Runge-Kutta de Quarta Ordem. Os resultados foram validados com dados experimentais de uma coluna de destilação em escala piloto usando um sistema etanol-água com comportamento de equilíbrio descrito pelos modelos termodinâmicos de Coeficientes de Atividade do Grupo Funcional UNIQUAC (UNIFAC) e Predictive Soave-Redlich-Kwong (PSRK). erro de 1,84%. As concentrações molares de etanol apresentaram desvios das previsões do modelo matemático de 1,51% a 0,02%, com erro médio geral de 0,48%. Obteve-se um erro médio de 0,055% para o perfil de temperatura da coluna, demonstrando assim a eficácia da solução e sua capacidade de convergência. A solução baseada no método de Thomas e nos algoritmos de Wang-Henke acoplados ao método de Runge-Kutta permitiu descrever o comportamento e as variáveis &#8203;&#8203;de todas as etapas da coluna de destilação. A operação de refluxo total desde a partida evita o desperdício de produto e permite que as variáveis &#8203;&#8203;de estado, como temperatura e composição molar, sejam estabilizadas.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[PSRK method]]></kwd>
<kwd lng="en"><![CDATA[Thomas algorithm]]></kwd>
<kwd lng="en"><![CDATA[UNIFAC model]]></kwd>
<kwd lng="en"><![CDATA[UNIQUAC model]]></kwd>
<kwd lng="en"><![CDATA[Wang-Henke algorithm]]></kwd>
<kwd lng="es"><![CDATA[algoritmo de Thomas]]></kwd>
<kwd lng="es"><![CDATA[algoritmo de Wang-Henke]]></kwd>
<kwd lng="es"><![CDATA[método PSRK]]></kwd>
<kwd lng="es"><![CDATA[modelo UNIFAC]]></kwd>
<kwd lng="es"><![CDATA[modelo UNIQUAC]]></kwd>
<kwd lng="pt"><![CDATA[algoritmo de Thomas]]></kwd>
<kwd lng="pt"><![CDATA[algoritmo de Wang-Henke]]></kwd>
<kwd lng="pt"><![CDATA[método PSRK]]></kwd>
<kwd lng="pt"><![CDATA[modelo UNIFAC]]></kwd>
<kwd lng="pt"><![CDATA[modelo UNIQUAC]]></kwd>
</kwd-group>
</article-meta>
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