Bulk Crosslinking Copolymerization: Comparison of Different Modeling Approaches
The predictions of four different models of crosslinking copolymerization,Kinetic Monte Carlo (KMC), statistic/kinetic Flory/Tobita (FT) model, and two kinetic approaches based on population balance equations (PBE) (solved with generating functions (GF) and numerical fractionation (MRNF), respective...
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Veröffentlicht in: | Macromolecular reaction engineering 2014-10, Vol.8 (10), p.678-695 |
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creator | Lazzari, Stefano Hamzehlou, Shaghayegh Reyes, Yuri Leiza, Jose Ramon Costa, Mário Rui P. F. N. Dias, Rolando C. S. Storti, Giuseppe |
description | The predictions of four different models of crosslinking copolymerization,Kinetic Monte Carlo (KMC), statistic/kinetic Flory/Tobita (FT) model, and two kinetic approaches based on population balance equations (PBE) (solved with generating functions (GF) and numerical fractionation (MRNF), respectively), were compared. The approaches underlying more restrictive assumptions but asking for less computational effort, FT and MRNF, lead to very satisfactory predictions in terms of average properties (sol and gel fractions, degrees of polymerizations, crosslinking densities). On the other hand, fully detailed models (KMC) as well as more computationally demanding numerical solutions of the detailed PBE (GF) become necessary when the chain length distributions are required.
The present paper compares the predictions of different modeling approaches on a bulk crosslinking copolymerization scheme. Models based on average properties match the predictions of more detailed models in terms of average predictions, but not for chain length distributions. As a result, guidelines for the most‐suitable usage of such models are provided. |
doi_str_mv | 10.1002/mren.201400005 |
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The present paper compares the predictions of different modeling approaches on a bulk crosslinking copolymerization scheme. Models based on average properties match the predictions of more detailed models in terms of average predictions, but not for chain length distributions. As a result, guidelines for the most‐suitable usage of such models are provided.</description><identifier>ISSN: 1862-832X</identifier><identifier>EISSN: 1862-8338</identifier><identifier>DOI: 10.1002/mren.201400005</identifier><language>eng</language><publisher>Weinheim: Blackwell Publishing Ltd</publisher><subject>Crosslinking ; Modeling ; Monte Carlo ; Polymerization ; Population Balances</subject><ispartof>Macromolecular reaction engineering, 2014-10, Vol.8 (10), p.678-695</ispartof><rights>2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c4495-82568f18f02ecf786f06cb2d3c7e4cb1177f245d5c4e924c4b15b43b9fdeffd93</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fmren.201400005$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fmren.201400005$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,780,784,1417,27924,27925,45574,45575</link.rule.ids></links><search><creatorcontrib>Lazzari, Stefano</creatorcontrib><creatorcontrib>Hamzehlou, Shaghayegh</creatorcontrib><creatorcontrib>Reyes, Yuri</creatorcontrib><creatorcontrib>Leiza, Jose Ramon</creatorcontrib><creatorcontrib>Costa, Mário Rui P. F. N.</creatorcontrib><creatorcontrib>Dias, Rolando C. S.</creatorcontrib><creatorcontrib>Storti, Giuseppe</creatorcontrib><title>Bulk Crosslinking Copolymerization: Comparison of Different Modeling Approaches</title><title>Macromolecular reaction engineering</title><addtitle>Macromol. React. Eng</addtitle><description>The predictions of four different models of crosslinking copolymerization,Kinetic Monte Carlo (KMC), statistic/kinetic Flory/Tobita (FT) model, and two kinetic approaches based on population balance equations (PBE) (solved with generating functions (GF) and numerical fractionation (MRNF), respectively), were compared. The approaches underlying more restrictive assumptions but asking for less computational effort, FT and MRNF, lead to very satisfactory predictions in terms of average properties (sol and gel fractions, degrees of polymerizations, crosslinking densities). On the other hand, fully detailed models (KMC) as well as more computationally demanding numerical solutions of the detailed PBE (GF) become necessary when the chain length distributions are required.
The present paper compares the predictions of different modeling approaches on a bulk crosslinking copolymerization scheme. Models based on average properties match the predictions of more detailed models in terms of average predictions, but not for chain length distributions. As a result, guidelines for the most‐suitable usage of such models are provided.</description><subject>Crosslinking</subject><subject>Modeling</subject><subject>Monte Carlo</subject><subject>Polymerization</subject><subject>Population Balances</subject><issn>1862-832X</issn><issn>1862-8338</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNo9kElPwzAQhS0EEqVw5RyJc8B7HG6llILURSC2m5XFBrdJHOxUUH49rooyl1n0vnnSA-AcwUsEIb6qnWouMUQUhmIHYIAEx7EgRBz2M34_Bifer4IgVDoAy5tNtY7GznpfmWZtmo9obFtbbWvlzG_WGdtch0vdZs5420RWR7dGaxW8umhuS1XtkFHbOpsVn8qfgiOdVV6d_fcheLmbPI_v49ly-jAezeKC0pTFAjMuNBIaYlXoRHANeZHjkhSJokWOUJJoTFnJCqpSTAuaI5ZTkqe6VFqXKRmCi_3fYPy1Ub6TK7txTbCUiCMMU05FElTpXvVtKrWVrTN15rYSQblLTO4Sk31icv40WfRbYOM9a3ynfno2c2vJE5Iw-baYSkbmCy4ekXwlf4Zwcfs</recordid><startdate>201410</startdate><enddate>201410</enddate><creator>Lazzari, Stefano</creator><creator>Hamzehlou, Shaghayegh</creator><creator>Reyes, Yuri</creator><creator>Leiza, Jose Ramon</creator><creator>Costa, Mário Rui P. F. N.</creator><creator>Dias, Rolando C. S.</creator><creator>Storti, Giuseppe</creator><general>Blackwell Publishing Ltd</general><general>Wiley Subscription Services, Inc</general><scope>BSCLL</scope></search><sort><creationdate>201410</creationdate><title>Bulk Crosslinking Copolymerization: Comparison of Different Modeling Approaches</title><author>Lazzari, Stefano ; Hamzehlou, Shaghayegh ; Reyes, Yuri ; Leiza, Jose Ramon ; Costa, Mário Rui P. F. N. ; Dias, Rolando C. S. ; Storti, Giuseppe</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c4495-82568f18f02ecf786f06cb2d3c7e4cb1177f245d5c4e924c4b15b43b9fdeffd93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Crosslinking</topic><topic>Modeling</topic><topic>Monte Carlo</topic><topic>Polymerization</topic><topic>Population Balances</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lazzari, Stefano</creatorcontrib><creatorcontrib>Hamzehlou, Shaghayegh</creatorcontrib><creatorcontrib>Reyes, Yuri</creatorcontrib><creatorcontrib>Leiza, Jose Ramon</creatorcontrib><creatorcontrib>Costa, Mário Rui P. F. N.</creatorcontrib><creatorcontrib>Dias, Rolando C. S.</creatorcontrib><creatorcontrib>Storti, Giuseppe</creatorcontrib><collection>Istex</collection><jtitle>Macromolecular reaction engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lazzari, Stefano</au><au>Hamzehlou, Shaghayegh</au><au>Reyes, Yuri</au><au>Leiza, Jose Ramon</au><au>Costa, Mário Rui P. F. N.</au><au>Dias, Rolando C. S.</au><au>Storti, Giuseppe</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Bulk Crosslinking Copolymerization: Comparison of Different Modeling Approaches</atitle><jtitle>Macromolecular reaction engineering</jtitle><addtitle>Macromol. React. Eng</addtitle><date>2014-10</date><risdate>2014</risdate><volume>8</volume><issue>10</issue><spage>678</spage><epage>695</epage><pages>678-695</pages><issn>1862-832X</issn><eissn>1862-8338</eissn><abstract>The predictions of four different models of crosslinking copolymerization,Kinetic Monte Carlo (KMC), statistic/kinetic Flory/Tobita (FT) model, and two kinetic approaches based on population balance equations (PBE) (solved with generating functions (GF) and numerical fractionation (MRNF), respectively), were compared. The approaches underlying more restrictive assumptions but asking for less computational effort, FT and MRNF, lead to very satisfactory predictions in terms of average properties (sol and gel fractions, degrees of polymerizations, crosslinking densities). On the other hand, fully detailed models (KMC) as well as more computationally demanding numerical solutions of the detailed PBE (GF) become necessary when the chain length distributions are required.
The present paper compares the predictions of different modeling approaches on a bulk crosslinking copolymerization scheme. Models based on average properties match the predictions of more detailed models in terms of average predictions, but not for chain length distributions. As a result, guidelines for the most‐suitable usage of such models are provided.</abstract><cop>Weinheim</cop><pub>Blackwell Publishing Ltd</pub><doi>10.1002/mren.201400005</doi><tpages>18</tpages><oa>free_for_read</oa></addata></record> |
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subjects | Crosslinking Modeling Monte Carlo Polymerization Population Balances |
title | Bulk Crosslinking Copolymerization: Comparison of Different Modeling Approaches |
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