The work investigates the damping behavior of a Quarter wave resonator analytically and numerically, in which an incompressible approach is used. The Quarter wave resonator is investigated based on a methodology of decomposition that has been successfully used in the previous work of the Helmholtz resonator. The analytical investigation is implemented in MATLAB. The simulation in MATLAB contains two loops: an inner loop investigating the damping behavior in the frequency domain and an outer loop taking SPL into consideration. Iterations are applied in the outer loop to adjust the amplitude of velocity in order to make sure the SPL remains constant. The investigation is utilized to reveal the effects of the different proportion of the length of the resonator to the damping behavior. Besides, the dominance of the linear and nonlinear effect is also investigated. Furthermore, the numerical investigation is implemented in an open source software OpenFOAM. The mesh is generated by simplifying the resonator to a slice of it. Proper boundary conditions are chosen to maintain the accuracy of results and to achieve the perturbation of the incident excitation. The effect of different reference length and the mesh resolution is also investigated and the reference length and mesh resolution are set up properly. Then two approaches of obtaining the impedance of the neck are implemented in MATLAB and the results are compared. Afterward, the damping effect is evaluated. Overall, the results of the analytical investigation and numerical investigation are compared and the possible inaccuracy is pointed out.     «

The work investigates the damping behavior of a Quarter wave resonator analytically and numerically, in which an incompressible approach is used. The Quarter wave resonator is investigated based on a methodology of decomposition that has been successfully used in the previous work of the Helmholtz resonator. The analytical investigation is implemented in MATLAB. The simulation in MATLAB contains two loops: an inner loop investigating the damping behavior in the frequency domain and an outer loop...     »

The work investigates the damping behavior of a Quarter wave resonator analytically and numerically, in which an incompressible approach is used. The Quarter wave resonator is investigated based on a methodology of decomposition that has been successfully used in the previous work of the Helmholtz resonator. The analytical investigation is implemented in MATLAB. The simulation in MATLAB contains two loops: an inner loop investigating the damping behavior in the frequency domain and an outer loop taking SPL into consideration. Iterations are applied in the outer loop to adjust the amplitude of velocity in order to make sure the SPL remains constant. The investigation is utilized to reveal the effects of the different proportion of the length of the resonator to the damping behavior. Besides, the dominance of the linear and nonlinear effect is also investigated. Furthermore, the numerical investigation is implemented in an open source software OpenFOAM. The mesh is generated by simplifying the resonator to a slice of it. Proper boundary conditions are chosen to maintain the accuracy of results and to achieve the perturbation of the incident excitation. The effect of different reference length and the mesh resolution is also investigated and the reference length and mesh resolution are set up properly. Then two approaches of obtaining the impedance of the neck are implemented in MATLAB and the results are compared. Afterward, the damping effect is evaluated. Overall, the results of the analytical investigation and numerical investigation are compared and the possible inaccuracy is pointed out.     «

The work investigates the damping behavior of a Quarter wave resonator analytically and numerically, in which an incompressible approach is used. The Quarter wave resonator is investigated based on a methodology of decomposition that has been successfully used in the previous work of the Helmholtz resonator. The analytical investigation is implemented in MATLAB. The simulation in MATLAB contains two loops: an inner loop investigating the damping behavior in the frequency domain and an outer loop...     »