Experimental determination of the evolution equation for thermally induced acoustic oscillations

摘要

The evolution equation for a Hopf bifurcation can be experimentally determined by measuring the energy and energy flow when a system is perturbed by an external force oscillating at the limit cycle frequency. From the externally supplied energy flow at the increased (decreased) oscillation amplitude, the energy dissipation (generation) rate of the unperturbed system can be evaluated on the basis of the conservation of energy. It was verified that the experimentally determined evolution equation can predict the oscillation amplitude and transient behavior of thermally induced acoustic oscillations of a gas column in a resonator.