Abstract
The problem of propagating plane waves in a subsonic wind tunnel nozzle is considered. The contour of the nozzle is formed by the Witoszynski formula. In the case in which the gas is at rest, a conformal transformation is used to solve the wave equation that leads the system to a cylindrical geometry. This allows using the results of sound emission from a semi-infinite tube to determine the reflection coefficient from the nozzle edge. It is shown that in the conformal coordinates the equations are similar to the equation of sound propagation in thin tubes. In this case, the solutions to both equations give close results. In view of this, the problem is solved within the framework of the thin tube equation. Numerical results show that there are no resonances in the wind tunnel nozzle.
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