A Study on the Vortex Oscillator : 1st Report, On a Mathematical Model of a Confined Vortex Oscillator

Abstract

A theoretical and experimental study was carried out on a vortex oscillator which has a double input vortex chamber (i.e. a confined vortex oscillator). A mathematical model for the oscillator is proposed and examined by experiments. An oscillator with a single capacity is also examined. The results obtained are summarized as follows: (i) The mechanism of the occurrence of a self-excited oscillation has been clarified. (ii) The experimental data as to the frequency, the wave form of the oscillation and the condition of self-excitation are found to be in good agreement with analytically predicted ones.