{"title":"Necessary Conditions for the Development of Inviscid Instabilities in a Vibrationally Excited Dissociating Gas","authors":"Yu. N. Grigoryev, I. V. Ershov","doi":"10.1134/s0015462823602024","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>For a plane flow of a vibrationally excited dissociating diatomic gas the necessary conditions of the existence of growing (neutral) inviscid perturbations, similar to the Rayleigh criterion of a “generalized” inflection point, are obtained. The corresponding formulas are presented for cases with a certain physical interpretation. In particular, the model of a vibrationally excited one-component gas is considered as the initial stage of thermal dissociation, as well as a widespread model with one dissociation-recombination reaction. The case of a binary molecular-atomic mixture with a vibrationally excited molecular component and a frozen gas-phase dissociation-recombination reaction is considered as an intermediate one. Comparative numerical calculations are carried out, which show, in particular, that under conditions of developed dissociation, the use of the criterion of the generalized inflection point does not take into account the specifics of the process. The wavenumbers and phase velocities of the I and II inviscid modes calculated on its basis may differ significantly from the results obtained with using the new necessary condition.</p>","PeriodicalId":560,"journal":{"name":"Fluid Dynamics","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2024-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fluid Dynamics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1134/s0015462823602024","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
For a plane flow of a vibrationally excited dissociating diatomic gas the necessary conditions of the existence of growing (neutral) inviscid perturbations, similar to the Rayleigh criterion of a “generalized” inflection point, are obtained. The corresponding formulas are presented for cases with a certain physical interpretation. In particular, the model of a vibrationally excited one-component gas is considered as the initial stage of thermal dissociation, as well as a widespread model with one dissociation-recombination reaction. The case of a binary molecular-atomic mixture with a vibrationally excited molecular component and a frozen gas-phase dissociation-recombination reaction is considered as an intermediate one. Comparative numerical calculations are carried out, which show, in particular, that under conditions of developed dissociation, the use of the criterion of the generalized inflection point does not take into account the specifics of the process. The wavenumbers and phase velocities of the I and II inviscid modes calculated on its basis may differ significantly from the results obtained with using the new necessary condition.
摘要 对于振动激发解离二原子气体的平面流动，得到了存在增长（中性）不粘性扰动的必要条件，类似于 "广义 "拐点的瑞利准则。针对具有一定物理解释的情况，给出了相应的公式。特别是，将振动激发的单组分气体模型视为热解离的初始阶段，以及具有一个解离-重组反应的广泛模型。二元分子-原子混合物的振动激发分子成分和冻结气相解离-重组反应的情况被视为中间阶段。进行了比较数值计算，结果特别表明，在解离发达的条件下，使用广义拐点标准没有考虑到过程的特殊性。在此基础上计算出的 I 和 II 不粘性模态的波数和相速度可能与使用新的必要条件得出的结果有很大差异。
期刊介绍：
Fluid Dynamics is an international peer reviewed journal that publishes theoretical, computational, and experimental research on aeromechanics, hydrodynamics, plasma dynamics, underground hydrodynamics, and biomechanics of continuous media. Special attention is given to new trends developing at the leading edge of science, such as theory and application of multi-phase flows, chemically reactive flows, liquid and gas flows in electromagnetic fields, new hydrodynamical methods of increasing oil output, new approaches to the description of turbulent flows, etc.
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