{"title":"A proposal for a combustion model considering the Lewis number and its evaluation","authors":"Fujio Akagi , Hiroaki Ito , Gento Hamada , Shin-ichi Inage","doi":"10.1016/j.euromechflu.2024.07.003","DOIUrl":null,"url":null,"abstract":"<div><p>The purpose of this research is to develop a combustion model that can be applied uniformly to laminar and turbulent premixed flames while considering the effect of the Lewis number (<em>Le</em>). The model considers the effect of <em>Le</em> on the transport equations of the reaction progress, which varies with the chemical species and temperature. The distribution of the reaction progress variable is approximated by a hyperbolic tangent function, while the other distribution of the reaction progress variable is estimated using the approximated distribution and transport equation of the reaction progress variable considering the <em>Le</em>. The validity of the model was evaluated under the conditions of propane and iso-octane with <em>Le</em> ≠ 1 and methane with <em>Le</em> = 1 (equivalence ratios of 0.5 and 1). The estimated results were found to be in good agreement with those of previous studies under all conditions. A method of introducing a turbulence model into this model is also described. the validity of the model is confirmed by a comparison with the experimental results of a turbulent methane flame. It was confirmed that the model is in good agreement with experimental results and other turbulence models, and represents approximately a conventional turbulence model.</p></div>","PeriodicalId":11985,"journal":{"name":"European Journal of Mechanics B-fluids","volume":"107 ","pages":"Pages 175-186"},"PeriodicalIF":2.5000,"publicationDate":"2024-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"European Journal of Mechanics B-fluids","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0997754624000918","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
The purpose of this research is to develop a combustion model that can be applied uniformly to laminar and turbulent premixed flames while considering the effect of the Lewis number (Le). The model considers the effect of Le on the transport equations of the reaction progress, which varies with the chemical species and temperature. The distribution of the reaction progress variable is approximated by a hyperbolic tangent function, while the other distribution of the reaction progress variable is estimated using the approximated distribution and transport equation of the reaction progress variable considering the Le. The validity of the model was evaluated under the conditions of propane and iso-octane with Le ≠ 1 and methane with Le = 1 (equivalence ratios of 0.5 and 1). The estimated results were found to be in good agreement with those of previous studies under all conditions. A method of introducing a turbulence model into this model is also described. the validity of the model is confirmed by a comparison with the experimental results of a turbulent methane flame. It was confirmed that the model is in good agreement with experimental results and other turbulence models, and represents approximately a conventional turbulence model.
本研究的目的是开发一种燃烧模型,该模型可统一应用于层流和湍流预混火焰,同时考虑刘易斯数(Le)的影响。该模型考虑了 Le 对反应进程传输方程的影响,反应进程随化学物种和温度的变化而变化。反应进展变量的分布由双曲正切函数近似表示,而反应进展变量的其他分布则使用近似分布和考虑到 Le 的反应进展变量的传输方程进行估算。在 Le ≠ 1 的丙烷和异辛烷以及 Le = 1 的甲烷(当量比为 0.5 和 1)条件下,对模型的有效性进行了评估。结果发现,在所有条件下,估算结果都与之前的研究结果十分吻合。此外,还介绍了将湍流模型引入该模型的方法。通过与甲烷湍流火焰的实验结果进行比较,证实了该模型的有效性。结果证实,该模型与实验结果和其他湍流模型十分吻合,近似于传统的湍流模型。
期刊介绍:
The European Journal of Mechanics - B/Fluids publishes papers in all fields of fluid mechanics. Although investigations in well-established areas are within the scope of the journal, recent developments and innovative ideas are particularly welcome. Theoretical, computational and experimental papers are equally welcome. Mathematical methods, be they deterministic or stochastic, analytical or numerical, will be accepted provided they serve to clarify some identifiable problems in fluid mechanics, and provided the significance of results is explained. Similarly, experimental papers must add physical insight in to the understanding of fluid mechanics.