Resonance oscillations of a gas in a shut-end tube in the region of transition to shock waves

The authors describe theoretical and experimental studies of resonance oscillations of a gas in a tube, with one end shut and a periodically vibrating piston mounted on the other. Analytical expressions to calculate the amplitude of pressure fluctuations in a real gas and experimental results at the frequency of linear resonance are obtained. Theory shows good agreement with experiment. An experimental study is made of nonlinear resonances of the second and third orders and the transition from almost harmonic oscillations of the gas to highly nonlinear ones.[PUBLICATION ABSTRACT]