{"title":"Evolution of Acoustic Streaming Inside and Around the Open Tube Resonator","authors":"P. P. Osipov, D. A. Gubaidullin, A. A. Abdyushev","doi":"10.1134/s1995080224602327","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>Using the numerical integration of the equations of ideal gas dynamics, written in a conservative form in a cylindrical coordinate system, the velocity and pressure fields inside and around the tube of an open resonator are investigated at the first resonant frequency. The patterns of streamlines of instantaneous and cycle-averaged velocities, as well as the evolution of intense secondary streaming near the open end of the tube are analyzed. An intense secondary streaming inside and around the tube resonator is developed, forming toroidal vortex inside and strong jet outside the tube along the axis. Comparison of simulation results with experimental data of other authors shows good agreement.</p>","PeriodicalId":46135,"journal":{"name":"Lobachevskii Journal of Mathematics","volume":"9 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Lobachevskii Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s1995080224602327","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Using the numerical integration of the equations of ideal gas dynamics, written in a conservative form in a cylindrical coordinate system, the velocity and pressure fields inside and around the tube of an open resonator are investigated at the first resonant frequency. The patterns of streamlines of instantaneous and cycle-averaged velocities, as well as the evolution of intense secondary streaming near the open end of the tube are analyzed. An intense secondary streaming inside and around the tube resonator is developed, forming toroidal vortex inside and strong jet outside the tube along the axis. Comparison of simulation results with experimental data of other authors shows good agreement.
期刊介绍：
Lobachevskii Journal of Mathematics is an international peer reviewed journal published in collaboration with the Russian Academy of Sciences and Kazan Federal University. The journal covers mathematical topics associated with the name of famous Russian mathematician Nikolai Lobachevsky (Lobachevskii). The journal publishes research articles on geometry and topology, algebra, complex analysis, functional analysis, differential equations and mathematical physics, probability theory and stochastic processes, computational mathematics, mathematical modeling, numerical methods and program complexes, computer science, optimal control, and theory of algorithms as well as applied mathematics. The journal welcomes manuscripts from all countries in the English language.
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