Thermoacoustics Q1D modeling in solid rocket motors

In this work a Q1D multiphase model is presented and validated for thermoacoustic instability within solid rocket motors. The mathematical and physical approaches are derived starting from Eulerian-Eulerian multidimensional model, exploiting physical insights obtained via 2D numerical simulations to improve the Q1D modeling. In order to validate such methodology, numerical simulations have been performed on a simplified geometry known in literature to be prone to develop pressure fluctuations due multiphase effects. The presented solutions are fully in agreement with literature data concerning the thermoacoustic origin of the unstable behavior and the pressure oscillations amplitude. Such result ensures the model validation, which is the preliminary and obligatory step of a work-in-progress project aimed to provide a light but powerful tool to investigate pressure oscillations within solid rocket motors.