{"title":"Nonlinear Dynamics of Acoustic Instability in a Vibrationally Excited Gas: Influence of Heating and Cooling","authors":"S. S. Khrapov","doi":"10.1134/S0015462824602584","DOIUrl":null,"url":null,"abstract":"<p>The dynamics of unstable sound waves in a nonequilibrium vibrationally excited gas is considered with allowance for viscosity and thermal conductivity. A numerical model has been constructed and a computational tool has been developed to study the linear and nonlinear stages of the development of acoustic instability in a nonequilibrium gas with different models of relaxation, heating, and cooling times. The numerical model has a high spatial resolution and second order accuracy. It is shown that at the initial stage small disturbances generated by a sound source grow exponentially in accordance with conclusions of the linear theory. At the nonlinear stage of the development of acoustic instability, a sawtooth system of weak shock waves (SWs) is first formed; then, due to the interaction (merging) of SWs, a quasi-stationary system of high-intensity shock wave pulses (SWPs) is formed.</p>","PeriodicalId":560,"journal":{"name":"Fluid Dynamics","volume":"59 4","pages":"899 - 915"},"PeriodicalIF":1.0000,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fluid Dynamics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0015462824602584","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
The dynamics of unstable sound waves in a nonequilibrium vibrationally excited gas is considered with allowance for viscosity and thermal conductivity. A numerical model has been constructed and a computational tool has been developed to study the linear and nonlinear stages of the development of acoustic instability in a nonequilibrium gas with different models of relaxation, heating, and cooling times. The numerical model has a high spatial resolution and second order accuracy. It is shown that at the initial stage small disturbances generated by a sound source grow exponentially in accordance with conclusions of the linear theory. At the nonlinear stage of the development of acoustic instability, a sawtooth system of weak shock waves (SWs) is first formed; then, due to the interaction (merging) of SWs, a quasi-stationary system of high-intensity shock wave pulses (SWPs) is formed.
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.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
