Mathematical Modeling of the Transesterification Reaction by Finite Elements: Optimization of Kinetic Parameters Using the Simplex Sequential Method

The use of biodiesel as fuel has been presented as a viable alternative in the search for renewable energies. It can be produced from the transesterification reaction of vegetable oils with methanol in the presence of sodium or potassium hydroxide as catalysts. In the present research, the transesterification reaction of soybean oil was modeled considering the three steps of the direct and reverse reactions following a second order general kinetics by the finite element method using the COMSOL Multiphysics® software. The values of rate constants were determined using the simplex optimization method coupled with the desirability functions. The optimized rate constants for the forward reactions were 0.250 × 10−6 (k1f), 1.137 × 10−6 (k2f) and 3.134 × 10−6 (k3f); and for the reverse reactions were 0.202 × 10−6 (k1r), 0.884 × 10−6 (k2r) and 0.219 × 10−6 (k3r) all in m3mol−1s−1. The kinetic model proposed for the reaction can be simulated by the finite element method (FEM) under realistic conditions.

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Main Authors: Galvan,Diego, Chendynski,Letícia Thaís, Mantovani,Ana Carolina G., Quadri,Marintho B., Killner,Mário, Cremasco,Hágata, Borsato,Dionisio
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Química 2020
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-50532020000200313
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spelling oai:scielo:S0103-505320200002003132020-01-17Mathematical Modeling of the Transesterification Reaction by Finite Elements: Optimization of Kinetic Parameters Using the Simplex Sequential MethodGalvan,DiegoChendynski,Letícia ThaísMantovani,Ana Carolina G.Quadri,Marintho B.Killner,MárioCremasco,HágataBorsato,Dionisio biodiesel simulation rate constants The use of biodiesel as fuel has been presented as a viable alternative in the search for renewable energies. It can be produced from the transesterification reaction of vegetable oils with methanol in the presence of sodium or potassium hydroxide as catalysts. In the present research, the transesterification reaction of soybean oil was modeled considering the three steps of the direct and reverse reactions following a second order general kinetics by the finite element method using the COMSOL Multiphysics® software. The values of rate constants were determined using the simplex optimization method coupled with the desirability functions. The optimized rate constants for the forward reactions were 0.250 × 10−6 (k1f), 1.137 × 10−6 (k2f) and 3.134 × 10−6 (k3f); and for the reverse reactions were 0.202 × 10−6 (k1r), 0.884 × 10−6 (k2r) and 0.219 × 10−6 (k3r) all in m3mol−1s−1. The kinetic model proposed for the reaction can be simulated by the finite element method (FEM) under realistic conditions.info:eu-repo/semantics/openAccessSociedade Brasileira de QuímicaJournal of the Brazilian Chemical Society v.31 n.2 20202020-02-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-50532020000200313en10.21577/0103-5053.20190180
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libraryname SciELO
language English
format Digital
author Galvan,Diego
Chendynski,Letícia Thaís
Mantovani,Ana Carolina G.
Quadri,Marintho B.
Killner,Mário
Cremasco,Hágata
Borsato,Dionisio
spellingShingle Galvan,Diego
Chendynski,Letícia Thaís
Mantovani,Ana Carolina G.
Quadri,Marintho B.
Killner,Mário
Cremasco,Hágata
Borsato,Dionisio
Mathematical Modeling of the Transesterification Reaction by Finite Elements: Optimization of Kinetic Parameters Using the Simplex Sequential Method
author_facet Galvan,Diego
Chendynski,Letícia Thaís
Mantovani,Ana Carolina G.
Quadri,Marintho B.
Killner,Mário
Cremasco,Hágata
Borsato,Dionisio
author_sort Galvan,Diego
title Mathematical Modeling of the Transesterification Reaction by Finite Elements: Optimization of Kinetic Parameters Using the Simplex Sequential Method
title_short Mathematical Modeling of the Transesterification Reaction by Finite Elements: Optimization of Kinetic Parameters Using the Simplex Sequential Method
title_full Mathematical Modeling of the Transesterification Reaction by Finite Elements: Optimization of Kinetic Parameters Using the Simplex Sequential Method
title_fullStr Mathematical Modeling of the Transesterification Reaction by Finite Elements: Optimization of Kinetic Parameters Using the Simplex Sequential Method
title_full_unstemmed Mathematical Modeling of the Transesterification Reaction by Finite Elements: Optimization of Kinetic Parameters Using the Simplex Sequential Method
title_sort mathematical modeling of the transesterification reaction by finite elements: optimization of kinetic parameters using the simplex sequential method
description The use of biodiesel as fuel has been presented as a viable alternative in the search for renewable energies. It can be produced from the transesterification reaction of vegetable oils with methanol in the presence of sodium or potassium hydroxide as catalysts. In the present research, the transesterification reaction of soybean oil was modeled considering the three steps of the direct and reverse reactions following a second order general kinetics by the finite element method using the COMSOL Multiphysics® software. The values of rate constants were determined using the simplex optimization method coupled with the desirability functions. The optimized rate constants for the forward reactions were 0.250 × 10−6 (k1f), 1.137 × 10−6 (k2f) and 3.134 × 10−6 (k3f); and for the reverse reactions were 0.202 × 10−6 (k1r), 0.884 × 10−6 (k2r) and 0.219 × 10−6 (k3r) all in m3mol−1s−1. The kinetic model proposed for the reaction can be simulated by the finite element method (FEM) under realistic conditions.
publisher Sociedade Brasileira de Química
publishDate 2020
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-50532020000200313
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