<?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>S1665-27382009000100015</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Análisis de la producción de entropía en una máquina térmica operada con un sistema químico no-lineal]]></article-title>
<article-title xml:lang="en"><![CDATA[Analysis of entropy production in a thermal engine powered by a nonlinear chemical system]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Villanueva-Marroquín]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Barragán]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad Nacional de Colombia Facultad de Ciencias Departamento de Química]]></institution>
<addr-line><![CDATA[Bogotá ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>04</month>
<year>2009</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>04</month>
<year>2009</year>
</pub-date>
<volume>8</volume>
<numero>1</numero>
<fpage>145</fpage>
<lpage>152</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1665-27382009000100015&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1665-27382009000100015&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1665-27382009000100015&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Con el propósito de minimizar la velocidad de producción de entropía -disipación termodinámica- durante un proceso químico, la segunda ley de la termodinámica se aplica al estudio de una máquina térmica sujeta a procesos isotérmicos de expansión-compresión. Se determina la magnitud del coeficiente global de transferencia de calor (W m-2 K-1) del pistón que minimiza la disipación termodinámica cuando éste es conducido por la reacción química A<img border=0 src="../../../../../img/revistas/rmiq/v8n1/a15s1.jpg">B, representada en régimen oscilatorio por el modelo termocinético de Sal'nikov.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Second law optimization is applied to study a thermal engine driven by a thermokinetic oscillator. The Sal'nikov model is used to modeling the net process A<img border=0 src="../../../../../img/revistas/rmiq/v8n1/a15s1.jpg">B, which for given values of the control parameters exhibits nonlinear behavior like oscillations in temperature and concentrations. Constant of global heat transfer in W m-2 K-1for the engine which minimizes the rate of entropy production during transformation is obtained after numerical evaluation.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[optimización basada en la segunda ley la termodinámica]]></kwd>
<kwd lng="es"><![CDATA[velocidad de producción de entropía]]></kwd>
<kwd lng="es"><![CDATA[disipación termodinámica]]></kwd>
<kwd lng="es"><![CDATA[modelo de Sal'nikov]]></kwd>
<kwd lng="es"><![CDATA[oscilador termocinético]]></kwd>
<kwd lng="en"><![CDATA[second law optimization]]></kwd>
<kwd lng="en"><![CDATA[rate of entropy production]]></kwd>
<kwd lng="en"><![CDATA[thermodynamic dissipation]]></kwd>
<kwd lng="en"><![CDATA[Sal'nikov model]]></kwd>
<kwd lng="en"><![CDATA[thermokinetic oscillator.]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[ <p align="justify"><font face="verdana" size="4">Termodin&aacute;mica</font></p>     <p align="justify"><font face="verdana" size="4">&nbsp;</font></p>     <p align="center"><font face="verdana" size="4"><b>An&aacute;lisis de la producci&oacute;n de entrop&iacute;a en una m&aacute;quina t&eacute;rmica operada con un sistema qu&iacute;mico no&#150;lineal</b></font></p>     <p align="center"><font face="verdana" size="2">&nbsp;</font></p>     <p align="center"><font face="verdana" size="3"><b>Analysis of entropy production in a thermal engine powered by a nonlinear chemical system</b></font></p>     <p align="center"><font face="verdana" size="2">&nbsp;</font></p>     <p align="center"><font face="verdana" size="2"><b>J. Villanueva&#150;Marroqu&iacute;n y D. Barrag&aacute;n*</b></font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><i>Departamento de Qu&iacute;mica, Facultad de Ciencias, Universidad Nacional de Colombia Cra 30 # 45&#150;03, Bogot&aacute;, Colombia. <i>* Autor para la correspondencia. E&#150;mail: </i></i><a href="mailto:dabarraganra@bt.unal.edu.co">dabarraganra@bt.unal.edu.co</a><i><i>, </i></i><a href="mailto:dabarraganra@gmail.com">dabarraganra@gmail.com</a><i> <i>Fax (+57&#150;1) 3165220</i></i></font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2">Recibido 30 de Junio 2008    <br> Aceptado 3 de Marzo 2009</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">Con el prop&oacute;sito de minimizar la velocidad de producci&oacute;n de entrop&iacute;a <i>&#150;disipaci&oacute;n termodin&aacute;mica&#150; </i>durante un proceso qu&iacute;mico, la segunda ley de la termodin&aacute;mica se aplica al estudio de una m&aacute;quina t&eacute;rmica sujeta a procesos isot&eacute;rmicos de expansi&oacute;n&#150;compresi&oacute;n. Se determina la magnitud del coeficiente global de transferencia de calor (<i>W m<sup>&#150;2</sup> K<sup>&#150;1</sup></i>) del pist&oacute;n que minimiza la disipaci&oacute;n termodin&aacute;mica cuando &eacute;ste es conducido por la reacci&oacute;n qu&iacute;mica A<img src="/img/revistas/rmiq/v8n1/a15s1.jpg">B, representada en r&eacute;gimen oscilatorio por el modelo termocin&eacute;tico de Sal'nikov.</font></p>     <p align="justify"><font face="verdana" size="2"><b>Palabras clave: </b>optimizaci&oacute;n basada en la segunda ley la termodin&aacute;mica, velocidad de producci&oacute;n de entrop&iacute;a, disipaci&oacute;n termodin&aacute;mica, modelo de Sal'nikov, oscilador termocin&eacute;tico.</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">Second law optimization is applied to study a thermal engine driven by a thermokinetic oscillator. The Sal'nikov model is used to modeling the net process <i>A<img src="/img/revistas/rmiq/v8n1/a15s1.jpg">B, </i>which for given values of the control parameters exhibits nonlinear behavior like oscillations in temperature and concentrations. Constant of global heat transfer in <i>W m<sup>&#150;2</sup> K<sup>&#150;1</sup></i>for the engine which minimizes the rate of entropy production during transformation is obtained after numerical evaluation.</font></p>     <p align="justify"><font face="verdana" size="2"><b>Keywords: </b>second law optimization, rate of entropy production, thermodynamic dissipation, Sal'nikov model, thermokinetic oscillator.</font></p>     ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><a href="/pdf/rmiq/v8n1/v8n1a15.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">A la Universidad Nacional de Colombia por la financiaci&oacute;n de los proyectos DIB&#150;803770, DIB&#150;803734 y DINAIN 20601002443. Agradecemos a Miguel A. Montero&#150;P&aacute;ez por el dise&ntilde;o de las figuras.</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">Barrag&aacute;n, D., Robles, E. (2006). Termodin&aacute;mica de los procesos irreversibles de un metabolismo. <i>Revista de la Academia Colombiana de Ciencias 30, </i>419&#150;434.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535679&pid=S1665-2738200900010001500001&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">Barrag&aacute;n, D., Eu, B. C. (2001). Irreversible thermodynamics of neural networks: calortropy production in logic operations. <i>Journal of Physical Chemistry 105B, </i>7104&#150;7114.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535681&pid=S1665-2738200900010001500002&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">Bejan, A. (1996). Models of power plants that generate minimum entropy while operating at maximum power. <i>American Journal of Physics 64, </i>1054&#150;1059.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535683&pid=S1665-2738200900010001500003&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">Bejan, A. (2002). Fundamentals of exergy analysis, entropy generation minimization, and the generation of flow architecture. <i>International Journal of Energy Research 26, </i>545&#150;565.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535685&pid=S1665-2738200900010001500004&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">Bejan,     A.     (2006). <i>Advanced Engineering </i><i>Thermodynamics. </i>3<sup>rd</sup> Ed., Wiley.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535687&pid=S1665-2738200900010001500005&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">Delgado, E. J. (1994) Complex dynamics in a simple exothermic reaction model. <i>Latin American Applied Research 24, </i>109&#150;115.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535689&pid=S1665-2738200900010001500006&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">Delgado, E. J. (1996). A thermal engine driven by a thermokinetic oscillator. <i>Journal of Physical Chemistry 100, </i>11144&#150;11147.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535691&pid=S1665-2738200900010001500007&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">Denbigh, K. G. (1956). The second&#150;law efficiency of chemical processes. <i>Chemical Engineering Science 6, </i>1&#150;9.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535693&pid=S1665-2738200900010001500008&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">Eu, B. C. (1988). Entropy for irreversible processes. <i>Chemical Physics Letters 143, </i>65&#150;70.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535695&pid=S1665-2738200900010001500009&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">Eu, B. C. (1999). Generalized thermodynamics of global irreversible processes in a finite macroscopic system. <i>Journal of Physical Chemistry 103B, </i>8583&#150;8594.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535697&pid=S1665-2738200900010001500010&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">Eu, B. C. (2002). <i>Generalized Thermodynamics: Thermodynamics of Irreversible Processes and Generalized Hydrodynamics. </i>Kluwer Academic Press, Dordrecht, Netherlands.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535699&pid=S1665-2738200900010001500011&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">Gray, B. F., Roberts, M. J (1988a). Analysis of chemical kinetic systems over the entire parameter space I. The Sal'nikov thermokinetic oscillator. <i>Proceedings of the </i><i>Royal Society 416A, </i>391&#150;402.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535701&pid=S1665-2738200900010001500012&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">Gray, B. F., Roberts, M. J. (1988b). An asymptotic analysis of the Sal'nikov thermokinetic oscillator. Proceedings of the Royal Society <i>416</i>A, 425&#150;441.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535703&pid=S1665-2738200900010001500013&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">Griffiths, J. F., Whitaker, B. J. (2002). Thermokinetic interactions leading to knock during homogeneous charge compression ignition. <i>Combustion and Flame 131, </i>386&#150;399.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535705&pid=S1665-2738200900010001500014&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">Hindmarsh, A. C. (1972). <i>Livermore Solver for Ordinary Differential Equations. </i>Technical Report No. UCID&#150;3001, Lawrence Laboratory, Livermore, CA.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535707&pid=S1665-2738200900010001500015&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">Kjelstrup&#150;Ratkje, S., Ferland, K. S., Ferland, T. (1988). <i>Irreversible thermodynamics: Theory and applications. </i>John Wiley, Great Britain.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535709&pid=S1665-2738200900010001500016&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">Kejlstrup&#150;Ratjke, S., De Swaan&#150;Arons, J. (1995). Denbigh revisited: Reducing lost work in chemical processes. <i>Chemical Engineering </i><i>Science 50, </i>1551&#150;1560.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535711&pid=S1665-2738200900010001500017&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">Kjelstrup, S., Bedeaux, D., Johannessen, E. (2006). <i>Elements of irreversible thermodynamics for engineers. </i>2<sup>nd</sup> Edition, Tapir Academic Press, Trondheim, Norway.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535713&pid=S1665-2738200900010001500018&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">Ross, J., Irvin, B. R. (1988). Calculation of the rate of entropy production for a model chemical reaction. <i>Journal of Chemical Physics 89, </i>1064&#150;1068.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535715&pid=S1665-2738200900010001500019&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">Ross, J., Vlad, M. O. (2005). Exact solutions for the entropy production rate of several irreversible processes. <i>Journal of Physical Chemistry </i><i>109A, </i>10607&#150;10612.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535717&pid=S1665-2738200900010001500020&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">Salamon, P., Hoffmann, K. H., Schubert, S., Berry, R. S., Andresen, B . (2001). What Conditions Make Minimum Entropy Production Equivalent to Maximum Power Production? <i>Journal of Non&#150;Equilibrium Thermodynamics </i><i>26, </i>73&#150;83.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535719&pid=S1665-2738200900010001500021&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">Salamon, P., Nulton, J. D., Siracusa, G., Limon, A., Bedeaux, D., Kjelstrup, S. (2002). A simple example of control to minimize entropy production. <i>Journal of Non&#150;Equilibrium Thermodynamics 27, </i>45&#150;55.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535721&pid=S1665-2738200900010001500022&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">Sato, N. (2004). <i>Chemical energy and exergy: An introduction to chemicals thermodynamics for engineers. </i>Elsevier Science, Amsterdam, Netherlands.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8535723&pid=S1665-2738200900010001500023&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[Barragán]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
<name>
<surname><![CDATA[Robles]]></surname>
<given-names><![CDATA[E]]></given-names>
</name>
</person-group>
<article-title xml:lang="es"><![CDATA[Termodinámica de los procesos irreversibles de un metabolismo]]></article-title>
<source><![CDATA[Revista de la Academia Colombiana de Ciencias]]></source>
<year>2006</year>
<volume>30</volume>
<page-range>419-434</page-range></nlm-citation>
</ref>
<ref id="B2">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Barragán]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
<name>
<surname><![CDATA[Eu]]></surname>
<given-names><![CDATA[B. C.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Irreversible thermodynamics of neural networks: calortropy production in logic operations]]></article-title>
<source><![CDATA[Journal of Physical Chemistry]]></source>
<year>2001</year>
<volume>105B</volume>
<page-range>7104-7114</page-range></nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bejan]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Models of power plants that generate minimum entropy while operating at maximum power]]></article-title>
<source><![CDATA[American Journal of Physics]]></source>
<year>1996</year>
<volume>64</volume>
<page-range>1054-1059</page-range></nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bejan]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Fundamentals of exergy analysis, entropy generation minimization, and the generation of flow architecture]]></article-title>
<source><![CDATA[International Journal of Energy Research]]></source>
<year>2002</year>
<volume>26</volume>
<page-range>545-565</page-range></nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bejan]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
</person-group>
<source><![CDATA[Advanced Engineering Thermodynamics]]></source>
<year>2006</year>
<edition>3</edition>
<publisher-name><![CDATA[Wiley]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Delgado]]></surname>
<given-names><![CDATA[E. J.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Complex dynamics in a simple exothermic reaction model]]></article-title>
<source><![CDATA[Latin American Applied Research]]></source>
<year>1994</year>
<volume>24</volume>
<page-range>109-115</page-range></nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Delgado]]></surname>
<given-names><![CDATA[E. J.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[A thermal engine driven by a thermokinetic oscillator]]></article-title>
<source><![CDATA[Journal of Physical Chemistry]]></source>
<year>1996</year>
<volume>100</volume>
<page-range>11144-11147</page-range></nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Denbigh]]></surname>
<given-names><![CDATA[K. G.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[The second-law efficiency of chemical processes]]></article-title>
<source><![CDATA[Chemical Engineering Science]]></source>
<year>1956</year>
<volume>6</volume>
<page-range>1-9</page-range></nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Eu]]></surname>
<given-names><![CDATA[B. C.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Entropy for irreversible processes]]></article-title>
<source><![CDATA[Chemical Physics Letters]]></source>
<year>1988</year>
<volume>143</volume>
<page-range>65-70</page-range></nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Eu]]></surname>
<given-names><![CDATA[B. C.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Generalized thermodynamics of global irreversible processes in a finite macroscopic system]]></article-title>
<source><![CDATA[Journal of Physical Chemistry]]></source>
<year>1999</year>
<volume>103B</volume>
<page-range>8583-8594</page-range></nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Eu]]></surname>
<given-names><![CDATA[B. C.]]></given-names>
</name>
</person-group>
<source><![CDATA[Generalized Thermodynamics: Thermodynamics of Irreversible Processes and Generalized Hydrodynamics]]></source>
<year>2002</year>
<publisher-loc><![CDATA[^eDordrecht Dordrecht]]></publisher-loc>
<publisher-name><![CDATA[Kluwer Academic Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gray]]></surname>
<given-names><![CDATA[B. F.]]></given-names>
</name>
<name>
<surname><![CDATA[Roberts]]></surname>
<given-names><![CDATA[M. J]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Analysis of chemical kinetic systems over the entire parameter space I. The Sal'nikov thermokinetic oscillator]]></article-title>
<source><![CDATA[Proceedings of the Royal Society]]></source>
<year>1988</year>
<volume>416A</volume>
<page-range>391-402</page-range></nlm-citation>
</ref>
<ref id="B13">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gray]]></surname>
<given-names><![CDATA[B. F.]]></given-names>
</name>
<name>
<surname><![CDATA[Roberts]]></surname>
<given-names><![CDATA[M. J.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[An asymptotic analysis of the Sal'nikov thermokinetic oscillator]]></article-title>
<source><![CDATA[Proceedings of the Royal Society]]></source>
<year>1988</year>
<volume>416A</volume>
<page-range>425-441</page-range></nlm-citation>
</ref>
<ref id="B14">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Griffiths]]></surname>
<given-names><![CDATA[J. F.]]></given-names>
</name>
<name>
<surname><![CDATA[Whitaker]]></surname>
<given-names><![CDATA[B. J.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Thermokinetic interactions leading to knock during homogeneous charge compression ignition]]></article-title>
<source><![CDATA[Combustion and Flame]]></source>
<year>2002</year>
<volume>131</volume>
<page-range>386-399</page-range></nlm-citation>
</ref>
<ref id="B15">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hindmarsh]]></surname>
<given-names><![CDATA[A. C.]]></given-names>
</name>
</person-group>
<source><![CDATA[Livermore Solver for Ordinary Differential Equations. Technical Report No. UCID-3001, Lawrence Laboratory]]></source>
<year>1972</year>
<publisher-loc><![CDATA[Livermore^eCA. CA.]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B16">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kjelstrup-Ratkje]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
<name>
<surname><![CDATA[Ferland]]></surname>
<given-names><![CDATA[K. S.]]></given-names>
</name>
<name>
<surname><![CDATA[Ferland]]></surname>
<given-names><![CDATA[T]]></given-names>
</name>
</person-group>
<source><![CDATA[Irreversible thermodynamics: Theory and applications]]></source>
<year>1988</year>
<publisher-loc><![CDATA[Great Britain ]]></publisher-loc>
<publisher-name><![CDATA[John Wiley]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B17">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kejlstrup-Ratjke]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
<name>
<surname><![CDATA[De Swaan-Arons]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Denbigh revisited: Reducing lost work in chemical processes]]></article-title>
<source><![CDATA[Chemical Engineering Science]]></source>
<year>1995</year>
<volume>50</volume>
<page-range>1551-1560</page-range></nlm-citation>
</ref>
<ref id="B18">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kjelstrup]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
<name>
<surname><![CDATA[Bedeaux]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
<name>
<surname><![CDATA[Johannessen]]></surname>
<given-names><![CDATA[E]]></given-names>
</name>
</person-group>
<source><![CDATA[Elements of irreversible thermodynamics for engineers]]></source>
<year>2006</year>
<edition>2</edition>
<publisher-loc><![CDATA[Trondheim ]]></publisher-loc>
<publisher-name><![CDATA[Tapir Academic Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B19">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ross]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
<name>
<surname><![CDATA[Irvin]]></surname>
<given-names><![CDATA[B. R.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Calculation of the rate of entropy production for a model chemical reaction]]></article-title>
<source><![CDATA[Journal of Chemical Physics]]></source>
<year>1988</year>
<volume>89</volume>
<page-range>1064-1068</page-range></nlm-citation>
</ref>
<ref id="B20">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ross]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
<name>
<surname><![CDATA[Vlad]]></surname>
<given-names><![CDATA[M. O.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Exact solutions for the entropy production rate of several irreversible processes]]></article-title>
<source><![CDATA[Journal of Physical Chemistry]]></source>
<year>2005</year>
<volume>109A</volume>
<page-range>10607-10612</page-range></nlm-citation>
</ref>
<ref id="B21">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Salamon]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
<name>
<surname><![CDATA[Hoffmann]]></surname>
<given-names><![CDATA[K. H.]]></given-names>
</name>
<name>
<surname><![CDATA[Schubert]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
<name>
<surname><![CDATA[Berry]]></surname>
<given-names><![CDATA[R. S.]]></given-names>
</name>
<name>
<surname><![CDATA[Andresen]]></surname>
<given-names><![CDATA[B]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[What Conditions Make Minimum Entropy Production Equivalent to Maximum Power Production?]]></article-title>
<source><![CDATA[Journal of Non-Equilibrium Thermodynamics]]></source>
<year>2001</year>
<volume>26</volume>
<page-range>73-83</page-range></nlm-citation>
</ref>
<ref id="B22">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Salamon]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
<name>
<surname><![CDATA[Nulton]]></surname>
<given-names><![CDATA[J. D.]]></given-names>
</name>
<name>
<surname><![CDATA[Siracusa]]></surname>
<given-names><![CDATA[G]]></given-names>
</name>
<name>
<surname><![CDATA[Limon]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
<name>
<surname><![CDATA[Bedeaux]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
<name>
<surname><![CDATA[Kjelstrup]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[A simple example of control to minimize entropy production]]></article-title>
<source><![CDATA[Journal of Non-Equilibrium Thermodynamics]]></source>
<year>2002</year>
<volume>27</volume>
<page-range>45-55</page-range></nlm-citation>
</ref>
<ref id="B23">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sato]]></surname>
<given-names><![CDATA[N]]></given-names>
</name>
</person-group>
<source><![CDATA[Chemical energy and exergy: An introduction to chemicals thermodynamics for engineers]]></source>
<year>2004</year>
<publisher-loc><![CDATA[Amsterdam ]]></publisher-loc>
<publisher-name><![CDATA[Elsevier Science]]></publisher-name>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
