THE PASSING OF RESONANCE ZONES OF A PISTON IN A CLOSED TUBE

An inviscid gas in a tube closed at one end is excited by a piston osc illating around a slowly changing mean position. The response of the g as is considered when the piston passes a resonance zone, that is when the eigenfrequency (as a function of the mean position) of the gas in the tube is close to the frequency of the oscillation. Employing an a symptotic analysis with respect to small Mach numbers of the piston it is shown how shocks evolve and decay again as the piston passes the r esonance zone.