Linearized Reactive Flows

The prediction and control of thermoacoustic combustion instabilities poses severe challenges to the development of efficient lean premixed combustion systems. A crucial input for current thermoacoustic models is the flame transfer function, which represents the response of the flame to acoustic forcing. It is currently deduced from costly high-fidelity numerical simulations, or strongly simplified analytic models, if not from extensive experimental measurements.

The Linearized Reactive Flow approach, recently explored by Avdonin et al. [2019b], appears as a promising alternative. Reactive flow equations are linearized around a base state, offering the opportunity to use linear stability analysis tools to determine not only the flame transfer function but also the stability of such dynamical systems from a holistic perspective. This model could be extended to complex reaction mechanisms, turbulent flames, etc.