Keele Data Repository

Arabi, Sadaf (2023) Dataset for EU POLKA project.

The objective of this report is to employ a Green's function methodology for conducting stability analysis across distinct control parameters, such as the heat source position and the tube length. The Green's function approach effectively captures the acoustic resonator's behavior. By introducing an interface with a hypothetical point source, this method facilitates the prediction of resonator frequencies and amplitudes, contingent on the occurrence of a temperature jump within the tube. The variation in sound speed within the tube at the interface leads to discontinuities in the derivative of the Green's function amplitude with respect to x. To visualize the impact of bifurcation parameters, namely heat source position and tube length, stability maps are generated. These maps delineate a spectrum of operational states. Unstable states are depicted by black regions, while white regions indicate stable states