<?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>1665-2738</journal-id>
<journal-title><![CDATA[Revista mexicana de ingeniería química]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Mex. Ing. Quím]]></abbrev-journal-title>
<issn>1665-2738</issn>
<publisher>
<publisher-name><![CDATA[Universidad Autónoma Metropolitana, División de Ciencias Básicas e Ingeniería]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1665-27382013000300023</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Método corto para la destilación discontinua multicomponente considerando una política de reflujo variable]]></article-title>
<article-title xml:lang="en"><![CDATA[Shortcut method for multicomponent batch distillation considering a variable reflux policy]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Narváez-García]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Zavala-Loría]]></surname>
<given-names><![CDATA[J.C.]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rocha-Uribe]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rubio-Atoche]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad Autónoma de Yucatán Facultad de Ingeniería Química ]]></institution>
<addr-line><![CDATA[Mérida Yucatán]]></addr-line>
<country>México</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Universidad Autónoma del Carmen Dependencia Académica de Ciencias Químicas y Petrolera Facultad de Química]]></institution>
<addr-line><![CDATA[Cd. del Carmen Campeche]]></addr-line>
<country>México</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2013</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2013</year>
</pub-date>
<volume>12</volume>
<numero>3</numero>
<fpage>621</fpage>
<lpage>637</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1665-27382013000300023&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1665-27382013000300023&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1665-27382013000300023&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Se ha propuesto un método corto para destilación discontinua considerando una política de reflujo variable. El método está basado en el trabajo de Sundaram y Evans (1993) y considera un balance global de materia, así como un balance parcial de materia. La relación funcional entre las concentraciones del fondo y del domo es calculada mediante la utilización de las ecuaciones de Fenske, Underwood y Gilliland (FUG). La solución al modelo matemático propuesto se ha comparado con un método riguroso utilizando varias mezclas del tipo Clase I y Clase II. El método corto propuesto es de simple aplicación y puede ser utilizado para trabajos preliminares de diseño, simulación y optimización.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[A Shortcut method for batch distillation has proposed considering a variable reflux policy. The method is based on the work of Sundaram and Evans (1993) and considered an overall material balance, as well as a partial material balance. The functional relatiomhip between the concentrations of the bottom and the dome is calculated using the Fenske, Underwood and Gilliland equations (FUG). The solution to the proposed mathematical model has been compared with the rigorous method using Class I and Class II mixtures. The proposed shortcut method is very simple and it can be used for preliminary design, simulation and optimization work.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[método corto]]></kwd>
<kwd lng="es"><![CDATA[FUG]]></kwd>
<kwd lng="es"><![CDATA[destilación discontinua]]></kwd>
<kwd lng="es"><![CDATA[política de reflujo variable]]></kwd>
<kwd lng="en"><![CDATA[shortcut method]]></kwd>
<kwd lng="en"><![CDATA[FUG]]></kwd>
<kwd lng="en"><![CDATA[batch distillation]]></kwd>
<kwd lng="en"><![CDATA[variable reflux policy]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[ <p align="justify"><font face="verdana" size="4">Simulaci&oacute;n y control</font></p>              <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>              <p align="center"><font face="verdana" size="4"><b>M&eacute;todo corto para la destilaci&oacute;n discontinua multicomponente considerando una pol&iacute;tica de reflujo variable</b></font></p>              <p align="center"><font face="verdana" size="2">&nbsp;</font></p>              <p align="center"><font face="verdana" size="3"><b>Shortcut method for multicomponent batch distillation considering a variable reflux policy</b></font></p>              <p align="center"><font face="verdana" size="2">&nbsp;</font></p>              <p align="center"><font face="verdana" size="2"><b>A. Narv&aacute;ez&#45;Garc&iacute;a<sup>1</sup>*, J.C. Zavala&#45;Lor&iacute;a<sup>2</sup>, A. Rocha&#45;Uribe<sup>1</sup> y C. Rubio&#45;Atoche<sup>1</sup></b></font></p>              <p align="center"><font face="verdana" size="2">&nbsp;</font></p>              <p align="justify"><font face="verdana" size="2"><i><sup>1</sup> Universidad Aut&oacute;noma de Yucat&aacute;n, Facultad de Ingenier&iacute;a Qu&iacute;mica, Campus de Ingenier&iacute;as y Ciencias Exactas, Perif&eacute;rico Norte Kilometro 33.5, Tablaje Catastral 13615, Colonia Chuburna de Hidalgo Inn, C.P. 97203, M&eacute;rida, Yucat&aacute;n, M&eacute;xico. Tel: +52 (999) 9460956. * Autor para la correspondencia. E&#45;mail:</i> <a href="mailto:narvaez1418@hotmail.com">narvaez1418@hotmail.com</a> <i>Tel.:</i> +52 (999) 9460956, <i>Fax</i> +52 (999) 9460956.</font></p>             <p align="justify"><font face="verdana" size="2"><i><sup>2</sup> Universidad Aut&oacute;noma del Carmen, Dependencia Acad&eacute;mica de Ciencias Qu&iacute;micas y Petrolera (DACQyP), Facultad de Qu&iacute;mica, Cuerpo Acad&eacute;mico Consolidado de Ingenier&iacute;a Qu&iacute;mica Aplicada, Campus Principal, Calle 56 No. 4 Esquina Avenida Concordia, Colonia Benito Ju&aacute;rez, CP. 24180, Cd. del Carmen, Campeche, M&eacute;xico. Tel: +52 (938) 3828484.</i></font></p>             ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2">&nbsp;</font></p>              <p align="justify"><font face="verdana" size="2">Recibido 26 de Octubre de 2012     <br>     Aceptado 14 de Julio de 2013</font></p>              <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>              <p align="justify"><font face="verdana" size="2"><b>Resumen</b></font></p>              <p align="justify"><font face="verdana" size="2">Se ha propuesto un m&eacute;todo corto para destilaci&oacute;n discontinua considerando una pol&iacute;tica de reflujo variable. El m&eacute;todo est&aacute; basado en el trabajo de Sundaram y Evans (1993) y considera un balance global de materia, as&iacute; como un balance parcial de materia. La relaci&oacute;n funcional entre las concentraciones del fondo y del domo es calculada mediante la utilizaci&oacute;n de las ecuaciones de Fenske, Underwood y Gilliland (FUG). La soluci&oacute;n al modelo matem&aacute;tico propuesto se ha comparado con un m&eacute;todo riguroso utilizando varias mezclas del tipo Clase I y Clase II. El m&eacute;todo corto propuesto es de simple aplicaci&oacute;n y puede ser utilizado para trabajos preliminares de dise&ntilde;o, simulaci&oacute;n y optimizaci&oacute;n.</font></p>              <p align="justify"><font face="verdana" size="2"><b>Palabras clave:</b> m&eacute;todo corto, FUG, destilaci&oacute;n discontinua, pol&iacute;tica de reflujo variable. </font></p>             <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>             <p align="justify"><font face="verdana" size="2"><b>Abstract</b></font></p>              <p align="justify"><font face="verdana" size="2">A Shortcut method for batch distillation has proposed considering a variable reflux policy. The method is based on the work of Sundaram and Evans (1993) and considered an overall material balance, as well as a partial material balance. The functional relatiomhip between the concentrations of the bottom and the dome is calculated using the Fenske, Underwood and Gilliland equations (FUG). The solution to the proposed mathematical model has been compared with the rigorous method using Class I and Class II mixtures. The proposed shortcut method is very simple and it can be used for preliminary design, simulation and optimization work.</font></p>              ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2"><b>Keywords:</b> shortcut method, FUG, batch distillation, variable reflux policy.</font></p>             <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>             <p align="justify"><font face="verdana" size="2"><a href="/pdf/rmiq/v12n3/v12n3a23.pdf" target="_blank">DESCARGAR ART&Iacute;CULO EN FORMATO PDF</a></font></p>             <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>             <p align="justify"><font face="verdana" size="2"><b>Agradecimientos</b></font></p>              <p align="justify"><font face="verdana" size="2">Agradecemos a la Universidad Aut&oacute;noma del Carmen y a la Universidad Aut&oacute;noma de Yucat&aacute;n, en M&eacute;xico, por todas las facilidades brindadas para el desarrollo de este trabajo, de la misma manera agradecemos al PROMEP por aportar lo recursos financieros mediante el convenio PROMEP/103.5/10/5126.</font></p>              <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>              <p align="justify"><font face="verdana" size="2"><b>Referencias</b></font></p>              <!-- ref --><p align="justify"><font face="verdana" size="2">Barolo, M. y Guarise, G. B. (1996). Batch distillation of multicomponent systems with constant relative volatilities. <i>Transactions of the Institution of Chemical Engineers 74,</i> 863&#45;871.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8569808&pid=S1665-2738201300030002300001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>              ]]></body>
<body><![CDATA[<!-- ref --><p align="justify"><font face="verdana" size="2">Cressy, D.C., Nabney, Ian T. y Simper, A. (1993). Neural control of a batch distillation. <i>Neural Computing and Applications 1,</i> 115&#45;123.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8569810&pid=S1665-2738201300030002300002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>              <!-- ref --><p align="justify"><font face="verdana" size="2">Distefano, G.P. (1968). Mathematical modeling and numerical integration of multicomponent batch distillation equations. <i>AlChE Journal 14,</i> 190&#45;199.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8569812&pid=S1665-2738201300030002300003&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>              <!-- ref --><p align="justify"><font face="verdana" size="2">Diwekar, U.M. (1988). <i>Simulation, Design, Optimization and Optimal Control of Multicomponent Batch Distillation Columns.</i> Ph. D. Thesis. Indian Institute of Technology, Bombay, India.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8569814&pid=S1665-2738201300030002300004&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>              <!-- ref --><p align="justify"><font face="verdana" size="2">Diwekar, U.M. y Madhavan, K.P. (1991). Batch&#45;Dist: A comprehensive package for simulation, design, optimization and optimal control of multicomponent, multifraction batch distillation columns. <i>Computers and Chemical Engineering 15,</i> 833&#45;842.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8569816&pid=S1665-2738201300030002300005&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>              <!-- ref --><p align="justify"><font face="verdana" size="2">Diwekar, U. (2012). <i>Batch Distillation: Simulation, Optimal Design, and Control.</i> Second Edition. CRC Press. U.S.A.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8569818&pid=S1665-2738201300030002300006&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>              ]]></body>
<body><![CDATA[<!-- ref --><p align="justify"><font face="verdana" size="2">Domenech, S. y Enjalbert, M. (1981). Program for simulating batch rectification as a unit operation. <i>Computers and Chemical Engineering 5,</i> 181&#45;184.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8569820&pid=S1665-2738201300030002300007&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>              <!-- ref --><p align="justify"><font face="verdana" size="2">Ehsani, Mohammad R. (2002). Prediction of the operating conditions in a batch distillation column using a shortcut method. <i>lran Journal of Chemistry &amp; Chemical Engineering 21,</i> 118&#45;125.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8569822&pid=S1665-2738201300030002300008&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>              <!-- ref --><p align="justify"><font face="verdana" size="2">Monroy&#45;Loperena, R. y Alvarez&#45;Ramirez, J. (2003). A note on the identification and control of batch distillation columns. <i>Chemical Engineering Science 58,</i> 4729&#45;4737.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8569824&pid=S1665-2738201300030002300009&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>              <!-- ref --><p align="justify"><font face="verdana" size="2">Monroy&#45;Loperena, R. y Vargas&#45;Villamil, F.D. (2001). Determination of the polynomial defining Underwood's equations in short&#45;cut distillation design. <i>lndustrial and Engineering Chemistry Research 40,</i> 5810&#45;5814.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8569826&pid=S1665-2738201300030002300010&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>              <!-- ref --><p align="justify"><font face="verdana" size="2">Shiras, R.N., Hanson, D.N. y Gibson, C.H. (1950). Calculation of minimum reflux in distillation columns. <i>Industrial &amp; Engineering Chemistry 42,</i> 871&#45;876.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8569828&pid=S1665-2738201300030002300011&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>              ]]></body>
<body><![CDATA[<!-- ref --><p align="justify"><font face="verdana" size="2">Sundaram, S. y Evans, L.B. (1993). Shortcut procedure for simulating batch distillation operations. <i>lndustrial &amp; Engineering Chemistry Research 32,</i> 511&#45;517.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8569830&pid=S1665-2738201300030002300012&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>              <!-- ref --><p align="justify"><font face="verdana" size="2">Zamar, Silvina D., Salomone, Enrique y Iribarren, Oscar A. (1998). Shortcut method for multiple task batch distillations. <i>lndustrial &amp; Engineering Chemistry Research 37,</i> 4801&#45;4807.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8569832&pid=S1665-2738201300030002300013&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>              <!-- ref --><p align="justify"><font face="verdana" size="2">Zavala&#45;Lor&iacute;a, J.C., C&oacute;rdova&#45;Quiroz, A.V., Robles&#45;Heredia, J.C., Anguebes&#45;Franseschi, F., Narv&aacute;ez&#45;Garc&iacute;a, A. y Elvira&#45;Antonio, N. (2006). Efecto de la derivaci&oacute;n del reflujo en destilaci&oacute;n discontinua. <i>Revista Mexicana de Ingenier&iacute;a Qu&iacute;mica 5,</i> 109&#45;113.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8569834&pid=S1665-2738201300030002300014&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>      ]]></body><back>
<ref-list>
<ref id="B1">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Barolo]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Guarise]]></surname>
<given-names><![CDATA[G. B.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Batch distillation of multicomponent systems with constant relative volatilities]]></article-title>
<source><![CDATA[Transactions of the Institution of Chemical Engineers]]></source>
<year>1996</year>
<volume>74</volume>
<page-range>863-871</page-range></nlm-citation>
</ref>
<ref id="B2">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cressy]]></surname>
<given-names><![CDATA[D.C.]]></given-names>
</name>
<name>
<surname><![CDATA[Nabney]]></surname>
<given-names><![CDATA[Ian T.]]></given-names>
</name>
<name>
<surname><![CDATA[Simper]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Neural control of a batch distillation]]></article-title>
<source><![CDATA[Neural Computing and Applications]]></source>
<year>1993</year>
<volume>1</volume>
<page-range>115-123</page-range></nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Distefano]]></surname>
<given-names><![CDATA[G.P.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Mathematical modeling and numerical integration of multicomponent batch distillation equations]]></article-title>
<source><![CDATA[AlChE Journal]]></source>
<year>1968</year>
<volume>14</volume>
<page-range>190-199</page-range></nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Diwekar]]></surname>
<given-names><![CDATA[U.M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Simulation, Design, Optimization and Optimal Control of Multicomponent Batch Distillation Columns]]></source>
<year>1988</year>
</nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Diwekar]]></surname>
<given-names><![CDATA[U.M.]]></given-names>
</name>
<name>
<surname><![CDATA[Madhavan]]></surname>
<given-names><![CDATA[K.P.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Batch-Dist: A comprehensive package for simulation, design, optimization and optimal control of multicomponent, multifraction batch distillation columns]]></article-title>
<source><![CDATA[Computers and Chemical Engineering]]></source>
<year>1991</year>
<volume>15</volume>
<page-range>833-842</page-range></nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Diwekar]]></surname>
<given-names><![CDATA[U.]]></given-names>
</name>
</person-group>
<source><![CDATA[Batch Distillation: Simulation, Optimal Design, and Control]]></source>
<year>2012</year>
<edition>Second</edition>
<publisher-name><![CDATA[CRC Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Domenech]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Enjalbert]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Program for simulating batch rectification as a unit operation]]></article-title>
<source><![CDATA[Computers and Chemical Engineering]]></source>
<year>1981</year>
<volume>5</volume>
<page-range>181-184</page-range></nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ehsani]]></surname>
</name>
<name>
<surname><![CDATA[Mohammad]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Prediction of the operating conditions in a batch distillation column using a shortcut method]]></article-title>
<source><![CDATA[lran Journal of Chemistry & Chemical Engineering]]></source>
<year>2002</year>
<volume>21</volume>
<page-range>118-125</page-range></nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Monroy-Loperena]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Alvarez-Ramirez]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[A note on the identification and control of batch distillation columns]]></article-title>
<source><![CDATA[Chemical Engineering Science]]></source>
<year>2003</year>
<volume>58</volume>
<page-range>4729-4737</page-range></nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Monroy-Loperena]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Vargas-Villamil]]></surname>
<given-names><![CDATA[F.D.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Determination of the polynomial defining Underwood's equations in short-cut distillation design]]></article-title>
<source><![CDATA[lndustrial and Engineering Chemistry Research]]></source>
<year>2001</year>
<volume>40</volume>
<page-range>5810-5814</page-range></nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Shiras]]></surname>
<given-names><![CDATA[R.N.]]></given-names>
</name>
<name>
<surname><![CDATA[Hanson]]></surname>
<given-names><![CDATA[D.N.]]></given-names>
</name>
<name>
<surname><![CDATA[Gibson]]></surname>
<given-names><![CDATA[C.H.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Calculation of minimum reflux in distillation columns]]></article-title>
<source><![CDATA[Industrial & Engineering Chemistry]]></source>
<year>1950</year>
<volume>42</volume>
<page-range>871-876</page-range></nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sundaram]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Evans]]></surname>
<given-names><![CDATA[L.B.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Shortcut procedure for simulating batch distillation operations]]></article-title>
<source><![CDATA[lndustrial & Engineering Chemistry Research]]></source>
<year>1993</year>
<volume>32</volume>
<page-range>511-517</page-range></nlm-citation>
</ref>
<ref id="B13">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zamar]]></surname>
<given-names><![CDATA[Silvina D.]]></given-names>
</name>
<name>
<surname><![CDATA[Salomone]]></surname>
<given-names><![CDATA[Enrique]]></given-names>
</name>
<name>
<surname><![CDATA[Iribarren]]></surname>
<given-names><![CDATA[Oscar A.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Shortcut method for multiple task batch distillations]]></article-title>
<source><![CDATA[lndustrial & Engineering Chemistry Research]]></source>
<year>1998</year>
<volume>37</volume>
<page-range>4801-4807</page-range></nlm-citation>
</ref>
<ref id="B14">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zavala-Loría]]></surname>
<given-names><![CDATA[J.C.]]></given-names>
</name>
<name>
<surname><![CDATA[Córdova-Quiroz]]></surname>
<given-names><![CDATA[A.V.]]></given-names>
</name>
<name>
<surname><![CDATA[Robles-Heredia]]></surname>
<given-names><![CDATA[J.C.]]></given-names>
</name>
<name>
<surname><![CDATA[Anguebes-Franseschi]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Narváez-García]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Elvira-Antonio]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
</person-group>
<article-title xml:lang="es"><![CDATA[Efecto de la derivación del reflujo en destilación discontinua]]></article-title>
<source><![CDATA[Revista Mexicana de Ingeniería Química]]></source>
<year>2006</year>
<volume>5</volume>
<page-range>109-113</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
