Effect of the Cone-Shaped End Vertex Angle of a Closed Tube on Resonant Gas Oscillations

There has been a study of resonant gas oscillations in a closed tube with different vertex angle of the cone-shaped end. Amplitude-frequency responses of the tubes have been obtained. It has been discovered that a decrease in the vertex angle of the cone-shaped end leads to a shift in the resonant f...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2023-05, Vol.44 (5), p.1629-1633
Main Authors: Gubaidullin, D. A., Fadeev, S. A., Shaidullin, L. R.
Format: Article
Language:English
Subjects:
Algebra
Amplitudes
Analysis
Gas pressure
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Pressure oscillations
Probability Theory and Stochastic Processes
Resonant frequencies
Tubes
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Summary:There has been a study of resonant gas oscillations in a closed tube with different vertex angle of the cone-shaped end. Amplitude-frequency responses of the tubes have been obtained. It has been discovered that a decrease in the vertex angle of the cone-shaped end leads to a shift in the resonant frequency decreasingly, i.e., to dispersion. There has been found a range of vertex angles of the cone-shaped end, when the gas pressure oscillation amplitude increases in all sections of the tube comparing to oscillations in a uniform tube of the equivalent length.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080223050190