Whether Helmholtz method can be used to predict the effects of Helmholtz damper on thermoacoustic limit cycle was investigated. Corresponding experimental validations were performed in a Rijke tube. The limit cycle properties of the Rijke tube equipped with a damper were calculated by the Helmholtz equation coupled with nonlinear heat release model
impedance model and damping rate. The impedance model of the damper was validated in an impedance tube. Results showed that the reflection coefficients of dampers could be calculated by the modified impedance model. The impedance increased with the purge mass flow. Without dampers
the relative errors of predicted limit cycle eigen-frequency and velocity amplitude were 3.4% and 7.2% at the heating voltage of 85 V
respectively. With dampers
the calculated maximum relative errors of those were 3.7% and 6.2%
respectively
under low mass flow. This passive control can be enhanced by increasing purge mass flow due to the vortex shedding. It is advisable to install the damper close to the pressure antinodes.