Evolution of Acoustic Streaming Inside and Around the Open Tube Resonator

IF 0.8 Q2 MATHEMATICS

Lobachevskii Journal of Mathematics Pub Date : 2024-08-28 DOI:10.1134/s1995080224602327

P. P. Osipov, D. A. Gubaidullin, A. A. Abdyushev

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.

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开放管谐振器内部和周围声流的演变

摘要利用在圆柱坐标系中以保守形式书写的理想气体动力学方程的数值积分，研究了第一共振频率下开放式谐振器管内和周围的速度场和压力场。分析了瞬时速度和周期平均速度的流线模式，以及管子开口端附近强烈二次流的演变。在管道谐振腔内部和周围形成了强烈的次级流，沿轴线在管道内部形成了环形涡流，在管道外部形成了强烈的射流。模拟结果与其他学者的实验数据进行了比较，结果显示两者吻合良好。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Lobachevskii Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

42.90%

发文量

127

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.