Abstract
One-dimensional, non-linear selfexcited oscillations of an ideal gas in pipes are studied. One end of the pipe is closed, and boundary conditions connecting in prescribed manner the incident and reflected Riemann invariants are specified at the other end. Periodic solutions containing shock waves are constructed. A relation connecting the amplitude and the period of the oscillatory motion of the gas is established. The solutions obtained are analysed numerically for stability. The investigations are based mainly on the results of /1–6/ where the forced resonant and subresonant oscillations of a gas in open a closed pipes were studied.
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