The Effects of Mixing, Reaction Rates, and Stoichiometry on Yield for Mixing Sensitive Reactions—Part I: Model Development
There are two classes of mixing sensitive reactions: competitive-consecutive and competitive-parallel. The yield of desired product from these coupled reactions depends on how fast the reactants are brought together. Recent experimental results have suggested that the mixing effect may depend strong...
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Language: | English |
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Wiley
2012-01-01
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Series: | International Journal of Chemical Engineering |
Online Access: | http://dx.doi.org/10.1155/2012/750162 |
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author | Syed Imran A. Shah Larry W. Kostiuk Suzanne M. Kresta |
author_facet | Syed Imran A. Shah Larry W. Kostiuk Suzanne M. Kresta |
author_sort | Syed Imran A. Shah |
collection | DOAJ |
description | There are two classes of mixing sensitive reactions: competitive-consecutive and competitive-parallel. The yield of desired product from these coupled reactions depends on how fast the reactants are brought together. Recent experimental results have suggested that the mixing effect may depend strongly on the stoichiometry of the reactions. To investigate this, a 1D, dimensionless, reaction-diffusion model at the micromixing scale was developed. Assuming constant mass concentration and mass diffusivities, systems of PDE's were derived on a mass fraction basis for both types of reactions. Two dimensionless reaction rate ratios and a single general Damköhler number emerged from the analysis. The resulting dimensionless equations were used to investigate the effects of mixing, reaction rate ratio, and reaction stoichiometry. As expected, decreasing either the striation thickness or the dimensionless rate ratio maximizes yield, the reaction stoichiometry has a considerable effect on yield, and all three variables interact strongly. |
format | Article |
id | doaj-art-22b05a81869942379a483d785a1c15f6 |
institution | Kabale University |
issn | 1687-806X 1687-8078 |
language | English |
publishDate | 2012-01-01 |
publisher | Wiley |
record_format | Article |
series | International Journal of Chemical Engineering |
spelling | doaj-art-22b05a81869942379a483d785a1c15f62025-02-03T01:24:39ZengWileyInternational Journal of Chemical Engineering1687-806X1687-80782012-01-01201210.1155/2012/750162750162The Effects of Mixing, Reaction Rates, and Stoichiometry on Yield for Mixing Sensitive Reactions—Part I: Model DevelopmentSyed Imran A. Shah0Larry W. Kostiuk1Suzanne M. Kresta2Department of Chemical & Materials Engineering, University of Alberta, 7th Floor, Electrical & Computer Engineering Research Facility (ECERF), 9107-116 Street, Edmonton, AB, T6G 2V4, CanadaDepartment of Mechanical Engineering, University of Alberta, 4-9 Mechanical Engineering Building, Edmonton, AB, T6G 2G8, CanadaDepartment of Chemical & Materials Engineering, University of Alberta, 7th Floor, Electrical & Computer Engineering Research Facility (ECERF), 9107-116 Street, Edmonton, AB, T6G 2V4, CanadaThere are two classes of mixing sensitive reactions: competitive-consecutive and competitive-parallel. The yield of desired product from these coupled reactions depends on how fast the reactants are brought together. Recent experimental results have suggested that the mixing effect may depend strongly on the stoichiometry of the reactions. To investigate this, a 1D, dimensionless, reaction-diffusion model at the micromixing scale was developed. Assuming constant mass concentration and mass diffusivities, systems of PDE's were derived on a mass fraction basis for both types of reactions. Two dimensionless reaction rate ratios and a single general Damköhler number emerged from the analysis. The resulting dimensionless equations were used to investigate the effects of mixing, reaction rate ratio, and reaction stoichiometry. As expected, decreasing either the striation thickness or the dimensionless rate ratio maximizes yield, the reaction stoichiometry has a considerable effect on yield, and all three variables interact strongly.http://dx.doi.org/10.1155/2012/750162 |
spellingShingle | Syed Imran A. Shah Larry W. Kostiuk Suzanne M. Kresta The Effects of Mixing, Reaction Rates, and Stoichiometry on Yield for Mixing Sensitive Reactions—Part I: Model Development International Journal of Chemical Engineering |
title | The Effects of Mixing, Reaction Rates, and Stoichiometry on Yield for Mixing Sensitive Reactions—Part I: Model Development |
title_full | The Effects of Mixing, Reaction Rates, and Stoichiometry on Yield for Mixing Sensitive Reactions—Part I: Model Development |
title_fullStr | The Effects of Mixing, Reaction Rates, and Stoichiometry on Yield for Mixing Sensitive Reactions—Part I: Model Development |
title_full_unstemmed | The Effects of Mixing, Reaction Rates, and Stoichiometry on Yield for Mixing Sensitive Reactions—Part I: Model Development |
title_short | The Effects of Mixing, Reaction Rates, and Stoichiometry on Yield for Mixing Sensitive Reactions—Part I: Model Development |
title_sort | effects of mixing reaction rates and stoichiometry on yield for mixing sensitive reactions part i model development |
url | http://dx.doi.org/10.1155/2012/750162 |
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