Theoretical investigation of thermal effects in non-isothermal non-equilibrium reactive liquid chromatography
•A non-isothermal non-equilibrium model of reactive chromatography is investigated.•A high resolution finite volume scheme is applied to solve the model equations.•The results are verified by consistency tests of mass and energy conservations.•It was observed that temperature gradients influence the...
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Veröffentlicht in: | Chemical engineering research & design 2016-11, Vol.115, p.145-159 |
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creator | Qamar, Shamsul Sattar, Fouzia Abdul Seidel-Morgenstern, Andreas |
description | •A non-isothermal non-equilibrium model of reactive chromatography is investigated.•A high resolution finite volume scheme is applied to solve the model equations.•The results are verified by consistency tests of mass and energy conservations.•It was observed that temperature gradients influence the conversion and separation.•Conversion improved under non-isothermal operation of the reactor.
A mathematical model is formulated and numerically approximated to simulate reaction and separation occurring jointly in a chromatographic column. To cover realistic problems, the reversibility of the reactions and the occurrence of temperature gradients are considered. The model is formed by a system of convection–diffusion–reaction partial differential equations coupled with differential and algebraic equations. The presence of nonlinear transport dominated terms in mass and energy balance equations and stiffness of the reaction terms are the main sources of instabilities if simple numerical schemes are applied. In this work a high resolution finite volume scheme is applied to accurately solve the model equations. The numerical case studies, treating two stoichiometrically different reactions, demonstrate the degree of coupling concentration and thermal fronts. The impact of several key parameters on process performance is illustrated. The results obtained are seen as very useful to understand the velocities and shapes of concentration and thermal fronts in chromatographic reactors. They reveal potential for improving reactor performance exploiting the unavoidable non-isothermal operation. |
doi_str_mv | 10.1016/j.cherd.2016.09.026 |
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A mathematical model is formulated and numerically approximated to simulate reaction and separation occurring jointly in a chromatographic column. To cover realistic problems, the reversibility of the reactions and the occurrence of temperature gradients are considered. The model is formed by a system of convection–diffusion–reaction partial differential equations coupled with differential and algebraic equations. The presence of nonlinear transport dominated terms in mass and energy balance equations and stiffness of the reaction terms are the main sources of instabilities if simple numerical schemes are applied. In this work a high resolution finite volume scheme is applied to accurately solve the model equations. The numerical case studies, treating two stoichiometrically different reactions, demonstrate the degree of coupling concentration and thermal fronts. The impact of several key parameters on process performance is illustrated. The results obtained are seen as very useful to understand the velocities and shapes of concentration and thermal fronts in chromatographic reactors. They reveal potential for improving reactor performance exploiting the unavoidable non-isothermal operation.</description><identifier>ISSN: 0263-8762</identifier><identifier>EISSN: 1744-3563</identifier><identifier>DOI: 10.1016/j.cherd.2016.09.026</identifier><language>eng</language><publisher>Rugby: Elsevier B.V</publisher><subject>Chromatographic reactor ; Chromatography ; Computer simulation ; Convection modes ; Finite volume scheme ; Mathematical models ; Non-equilibrium model ; Non-isothermal process ; Nonlinear equations ; Partial differential equations ; Process parameters ; Stiffness ; Temperature effects ; Temperature gradients ; Thermal effects ; Thermal fronts</subject><ispartof>Chemical engineering research & design, 2016-11, Vol.115, p.145-159</ispartof><rights>2016 Institution of Chemical Engineers</rights><rights>Copyright Elsevier Science Ltd. Nov 2016</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c413t-b4e09a762254ba0bd5c1215a4a8460c28009c76e5f2afda4f217a744133679183</citedby><cites>FETCH-LOGICAL-c413t-b4e09a762254ba0bd5c1215a4a8460c28009c76e5f2afda4f217a744133679183</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0263876216303112$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65534</link.rule.ids></links><search><creatorcontrib>Qamar, Shamsul</creatorcontrib><creatorcontrib>Sattar, Fouzia Abdul</creatorcontrib><creatorcontrib>Seidel-Morgenstern, Andreas</creatorcontrib><title>Theoretical investigation of thermal effects in non-isothermal non-equilibrium reactive liquid chromatography</title><title>Chemical engineering research & design</title><description>•A non-isothermal non-equilibrium model of reactive chromatography is investigated.•A high resolution finite volume scheme is applied to solve the model equations.•The results are verified by consistency tests of mass and energy conservations.•It was observed that temperature gradients influence the conversion and separation.•Conversion improved under non-isothermal operation of the reactor.
A mathematical model is formulated and numerically approximated to simulate reaction and separation occurring jointly in a chromatographic column. To cover realistic problems, the reversibility of the reactions and the occurrence of temperature gradients are considered. The model is formed by a system of convection–diffusion–reaction partial differential equations coupled with differential and algebraic equations. The presence of nonlinear transport dominated terms in mass and energy balance equations and stiffness of the reaction terms are the main sources of instabilities if simple numerical schemes are applied. In this work a high resolution finite volume scheme is applied to accurately solve the model equations. The numerical case studies, treating two stoichiometrically different reactions, demonstrate the degree of coupling concentration and thermal fronts. The impact of several key parameters on process performance is illustrated. The results obtained are seen as very useful to understand the velocities and shapes of concentration and thermal fronts in chromatographic reactors. They reveal potential for improving reactor performance exploiting the unavoidable non-isothermal operation.</description><subject>Chromatographic reactor</subject><subject>Chromatography</subject><subject>Computer simulation</subject><subject>Convection modes</subject><subject>Finite volume scheme</subject><subject>Mathematical models</subject><subject>Non-equilibrium model</subject><subject>Non-isothermal process</subject><subject>Nonlinear equations</subject><subject>Partial differential equations</subject><subject>Process parameters</subject><subject>Stiffness</subject><subject>Temperature effects</subject><subject>Temperature gradients</subject><subject>Thermal effects</subject><subject>Thermal fronts</subject><issn>0263-8762</issn><issn>1744-3563</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp9kMtOwzAQRS0EEqXwBWwisU7wK68FC1TxkiqxKWvLccaNoyZubadS_x6HwpaVNXPvzPgehO4JzggmxWOfqQ5cm9FYZLjOMC0u0IKUnKcsL9glWsQOS6uyoNfoxvseYxzVaoGGTQfWQTBK7hIzHsEHs5XB2DGxOglx6xAF0BpU8NGQjHZMjbd_ylzCYTI70zgzDYkDqYI5QrIzsdsmqnN2kMFundx3p1t0peXOw93vu0Rfry-b1Xu6_nz7WD2vU8UJC2nDAdcyfpbmvJG4aXNFKMkllxUvsKIVxrUqC8g1lbqVXFNSyhiWMFaUNanYEj2c9-6dPUwxk-jt5MZ4UlBMSV3VJJ9d7OxSznrvQIu9M4N0J0GwmLmKXvxwFTNXgWsxU1yip_MUxABHA054ZWBU0BoXIYnWmn_nvwFCZYPd</recordid><startdate>20161101</startdate><enddate>20161101</enddate><creator>Qamar, Shamsul</creator><creator>Sattar, Fouzia Abdul</creator><creator>Seidel-Morgenstern, Andreas</creator><general>Elsevier B.V</general><general>Elsevier Science Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>8FD</scope><scope>JG9</scope></search><sort><creationdate>20161101</creationdate><title>Theoretical investigation of thermal effects in non-isothermal non-equilibrium reactive liquid chromatography</title><author>Qamar, Shamsul ; Sattar, Fouzia Abdul ; Seidel-Morgenstern, Andreas</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c413t-b4e09a762254ba0bd5c1215a4a8460c28009c76e5f2afda4f217a744133679183</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Chromatographic reactor</topic><topic>Chromatography</topic><topic>Computer simulation</topic><topic>Convection modes</topic><topic>Finite volume scheme</topic><topic>Mathematical models</topic><topic>Non-equilibrium model</topic><topic>Non-isothermal process</topic><topic>Nonlinear equations</topic><topic>Partial differential equations</topic><topic>Process parameters</topic><topic>Stiffness</topic><topic>Temperature effects</topic><topic>Temperature gradients</topic><topic>Thermal effects</topic><topic>Thermal fronts</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Qamar, Shamsul</creatorcontrib><creatorcontrib>Sattar, Fouzia Abdul</creatorcontrib><creatorcontrib>Seidel-Morgenstern, Andreas</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><jtitle>Chemical engineering research & design</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Qamar, Shamsul</au><au>Sattar, Fouzia Abdul</au><au>Seidel-Morgenstern, Andreas</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Theoretical investigation of thermal effects in non-isothermal non-equilibrium reactive liquid chromatography</atitle><jtitle>Chemical engineering research & design</jtitle><date>2016-11-01</date><risdate>2016</risdate><volume>115</volume><spage>145</spage><epage>159</epage><pages>145-159</pages><issn>0263-8762</issn><eissn>1744-3563</eissn><abstract>•A non-isothermal non-equilibrium model of reactive chromatography is investigated.•A high resolution finite volume scheme is applied to solve the model equations.•The results are verified by consistency tests of mass and energy conservations.•It was observed that temperature gradients influence the conversion and separation.•Conversion improved under non-isothermal operation of the reactor.
A mathematical model is formulated and numerically approximated to simulate reaction and separation occurring jointly in a chromatographic column. To cover realistic problems, the reversibility of the reactions and the occurrence of temperature gradients are considered. The model is formed by a system of convection–diffusion–reaction partial differential equations coupled with differential and algebraic equations. The presence of nonlinear transport dominated terms in mass and energy balance equations and stiffness of the reaction terms are the main sources of instabilities if simple numerical schemes are applied. In this work a high resolution finite volume scheme is applied to accurately solve the model equations. The numerical case studies, treating two stoichiometrically different reactions, demonstrate the degree of coupling concentration and thermal fronts. The impact of several key parameters on process performance is illustrated. The results obtained are seen as very useful to understand the velocities and shapes of concentration and thermal fronts in chromatographic reactors. They reveal potential for improving reactor performance exploiting the unavoidable non-isothermal operation.</abstract><cop>Rugby</cop><pub>Elsevier B.V</pub><doi>10.1016/j.cherd.2016.09.026</doi><tpages>15</tpages><oa>free_for_read</oa></addata></record> |
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subjects | Chromatographic reactor Chromatography Computer simulation Convection modes Finite volume scheme Mathematical models Non-equilibrium model Non-isothermal process Nonlinear equations Partial differential equations Process parameters Stiffness Temperature effects Temperature gradients Thermal effects Thermal fronts |
title | Theoretical investigation of thermal effects in non-isothermal non-equilibrium reactive liquid chromatography |
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