Effect of a Rigid Cone Inserted in a Tube on Resonant Gas Oscillations

IF 0.8 Q2 MATHEMATICS

Lobachevskii Journal of Mathematics Pub Date : 2024-08-28 DOI:10.1134/s1995080224602340

L. R. Shaidullin, S. A. Fadeev

引用次数: 0

Abstract

Resonant oscillations of gas in a tube with an end in the form of an inverted cone have been investigated. As the height of the inverted cone inserted into the tube increases, a decrease in the resonant frequency and amplitude of gas pressure oscillations is observed. The dispersion of the resonant frequency is due to the viscosity and thermal conductivity of the gas. It is found that tubes with an inverted cone-shaped end are less efficient resonators compared to uniform tubes with a flat closed end. The decrease in the amplitude of gas pressure oscillations is attributed to the increase in the near-wall losses due to the increase in the total sidewall extent.

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插入管中的刚性锥体对共振气体振荡的影响

摘要研究了末端为倒锥形的管中气体的共振振荡。随着插入管中的倒锥高度的增加，观察到气体压力振荡的共振频率和振幅减小。共振频率的分散是由于气体的粘度和热导率造成的。研究发现，与具有扁平封闭端头的均匀管相比，具有倒锥形端头的管子是效率较低的谐振器。气体压力振荡幅度的减小是由于侧壁总范围的增加导致近壁损失的增加。

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.