The evolution of resonant oscillations in closed tubes (Q1064226)

An inviscid gas is contained in a tube which is closed at one end and is excited by an oscillating piston at the other end. The motion of the gas is assumed to be one-dimensional and isentropic. The evolution of the gas motion, from the initial rest state to the final periodic state, is examined. The motion is characterized by a similarity parameter. It is shown how shocks form and are sustained within the resonant band, while outside the resonant band shocks form but decay to leave essentially the linear solution.