Origin and Justification of the Use of the Arrhenius Relation to Represent the Reaction Rate of the Thermal Decomposition of a Solid
Degradation models are commonly used to describe the generation of combustible gases when predicting fire behavior. A model may include many sub-models, such as heat and mass transfer models, pyrolysis models or mechanical models. The pyrolysis sub-models require the definition of a decomposition me...
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MDPI AG
2021-04-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/11/9/4075 |
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| author | Benjamin Batiot Thomas Rogaume Franck Richard Jocelyn Luche Anthony Collin Eric Guillaume José Luis Torero |
| author_facet | Benjamin Batiot Thomas Rogaume Franck Richard Jocelyn Luche Anthony Collin Eric Guillaume José Luis Torero |
| author_sort | Benjamin Batiot |
| collection | DOAJ |
| description | Degradation models are commonly used to describe the generation of combustible gases when predicting fire behavior. A model may include many sub-models, such as heat and mass transfer models, pyrolysis models or mechanical models. The pyrolysis sub-models require the definition of a decomposition mechanism and the associated reaction rates. Arrhenius-type equations are commonly used to quantify the reaction rates. Arrhenius-type equations allow the representation of chemical decomposition as a function of temperature. This representation of the reaction rate originated from the study of gas-phase reactions, but it has been extrapolated to liquid and solid decomposition. Its extension to solid degradation needs to be justified because using an Arrhenius-type formulation implies important simplifications that are potentially questionable. This study describes these simplifications and their potential consequences when it comes to the quantification of solid-phase reaction rates. Furthermore, a critical analysis of the existing thermal degradation models is presented to evaluate the implications of using an Arrhenius-type equation to quantify mass-loss rates and gaseous fuel production for fire predictions. |
| first_indexed | 2024-03-10T11:49:19Z |
| format | Article |
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| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T11:49:19Z |
| publishDate | 2021-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-867a79fa0a3945e09b68390ed8dd9ee42023-11-21T17:49:00ZengMDPI AGApplied Sciences2076-34172021-04-01119407510.3390/app11094075Origin and Justification of the Use of the Arrhenius Relation to Represent the Reaction Rate of the Thermal Decomposition of a SolidBenjamin Batiot0Thomas Rogaume1Franck Richard2Jocelyn Luche3Anthony Collin4Eric Guillaume5José Luis Torero6Département Fluides, Thermique, Combustion, Institut P’, UPR 3346 CNRS, Université de Poitiers, ISAE-ENSMA, CEDEX 9, 86073 Poitiers, FranceDépartement Fluides, Thermique, Combustion, Institut P’, UPR 3346 CNRS, Université de Poitiers, ISAE-ENSMA, CEDEX 9, 86073 Poitiers, FranceDépartement Fluides, Thermique, Combustion, Institut P’, UPR 3346 CNRS, Université de Poitiers, ISAE-ENSMA, CEDEX 9, 86073 Poitiers, FranceDépartement Fluides, Thermique, Combustion, Institut P’, UPR 3346 CNRS, Université de Poitiers, ISAE-ENSMA, CEDEX 9, 86073 Poitiers, FranceCNRS, LEMTA, Université de Lorraine, 54000 Nancy, FranceEfectis France, Espace Technologique, Route l’Orme des Merisiers, 91193 Saint Aubin, FranceDepartment of Civil, Environmental and Geomatic Engineering, University College London, London WC1E 6DE, UKDegradation models are commonly used to describe the generation of combustible gases when predicting fire behavior. A model may include many sub-models, such as heat and mass transfer models, pyrolysis models or mechanical models. The pyrolysis sub-models require the definition of a decomposition mechanism and the associated reaction rates. Arrhenius-type equations are commonly used to quantify the reaction rates. Arrhenius-type equations allow the representation of chemical decomposition as a function of temperature. This representation of the reaction rate originated from the study of gas-phase reactions, but it has been extrapolated to liquid and solid decomposition. Its extension to solid degradation needs to be justified because using an Arrhenius-type formulation implies important simplifications that are potentially questionable. This study describes these simplifications and their potential consequences when it comes to the quantification of solid-phase reaction rates. Furthermore, a critical analysis of the existing thermal degradation models is presented to evaluate the implications of using an Arrhenius-type equation to quantify mass-loss rates and gaseous fuel production for fire predictions.https://www.mdpi.com/2076-3417/11/9/4075Arrheniussolid kineticsthermal degradationmodeling |
| spellingShingle | Benjamin Batiot Thomas Rogaume Franck Richard Jocelyn Luche Anthony Collin Eric Guillaume José Luis Torero Origin and Justification of the Use of the Arrhenius Relation to Represent the Reaction Rate of the Thermal Decomposition of a Solid Applied Sciences Arrhenius solid kinetics thermal degradation modeling |
| title | Origin and Justification of the Use of the Arrhenius Relation to Represent the Reaction Rate of the Thermal Decomposition of a Solid |
| title_full | Origin and Justification of the Use of the Arrhenius Relation to Represent the Reaction Rate of the Thermal Decomposition of a Solid |
| title_fullStr | Origin and Justification of the Use of the Arrhenius Relation to Represent the Reaction Rate of the Thermal Decomposition of a Solid |
| title_full_unstemmed | Origin and Justification of the Use of the Arrhenius Relation to Represent the Reaction Rate of the Thermal Decomposition of a Solid |
| title_short | Origin and Justification of the Use of the Arrhenius Relation to Represent the Reaction Rate of the Thermal Decomposition of a Solid |
| title_sort | origin and justification of the use of the arrhenius relation to represent the reaction rate of the thermal decomposition of a solid |
| topic | Arrhenius solid kinetics thermal degradation modeling |
| url | https://www.mdpi.com/2076-3417/11/9/4075 |
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