Abstract <p>The work investigates the influence of the radius of a closed tube on the resonant oscillations of gas under the condition of equality of the height of cylindrical resonators. The results of the numerical experiment show good agreement with analytical calculations. This is explained by the presence of additional dissipative terms in the equations of the numerical model. It is established that with an increase in the radius, due to the smaller influence of wall losses, an increase in the resonant frequency of the gas column, an increase in the amplitude of gas pressure oscillations, and an increase in the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12202_2025_8319_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(Q\)</EquationSource> <!--LobJMat2560710Shaidullin-m1--> </InlineEquation>-factor of the system are observed.</p>

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Influence of Radius on Induced Gas Oscillations in a Closed Tube

  • L. R. Shaidullin,
  • S. A. Fadeev

摘要

Abstract

The work investigates the influence of the radius of a closed tube on the resonant oscillations of gas under the condition of equality of the height of cylindrical resonators. The results of the numerical experiment show good agreement with analytical calculations. This is explained by the presence of additional dissipative terms in the equations of the numerical model. It is established that with an increase in the radius, due to the smaller influence of wall losses, an increase in the resonant frequency of the gas column, an increase in the amplitude of gas pressure oscillations, and an increase in the \(Q\) -factor of the system are observed.