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Resonance Curve in Rectangular Closed Channel

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Abstract

The dynamics of viscous polytropic gas in closed rectangular resonator is studied numerically and analytically on the base of linearized and reduced 2D Navier–Stokes equations. It is shown that for 2D model the maximum pressure amplitude depends on gas viscosity. The resonance curves for 2D model and for both 1D linear and nonlinear models are computed and compared. It is shown that 2D model takes into account the finiteness of the pressure amplitude at resonance. For 1D nonlinear model the frequency range in which periodic shock wave appears is detected. The range of frequencies, at which pressure beats occur, is found. It is shown that pressure beats disappear after about 50–100 cycles.

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Authors and Affiliations

  1. Institute of Mechanics and Engineering, Federal Research Center Kazan Scientific Center, Russian Academy of Sciences, 420111, Kazan, Tatarstan, Russia

    P. P. Osipov & R. R. Nasyrov

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  1. P. P. Osipov
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  2. R. R. Nasyrov
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Correspondence to P. P. Osipov or R. R. Nasyrov.

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Osipov, P.P., Nasyrov, R.R. Resonance Curve in Rectangular Closed Channel. Lobachevskii J Math 41, 1283–1288 (2020). https://doi.org/10.1134/S1995080220070355

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  • DOI: https://doi.org/10.1134/S1995080220070355

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