Low-dimensional modeling of flame dynamics in heated microchannels

Global stability analysis of 3D micro-combustion model

“…In the system (1a) -(1b) only the parameters D and A * are undetermined and they have to be calibrated. Then, Bianco et al [14] have shown that the model is able to correctly reproduce the phase-diagram of the flame-position versus the flow rate given by the experiments [18] , assuming D = 0 . 6 6 67 cm 2 / s and A * = 1 .…”

“…In this work, we focus on the reduced model discussed in [14] , which we refer to for more details. The dynamics is described by only two scalar advection-diffusion-reaction equations, one for the combustible concentration and one for the temperature, the den- sity of the gas ρ is kept constant:…”

“…Numerous numerical and experimental studies have analyzed the dynamics of reactive flames in narrow channels [9,10] and circular ducts [11][12][13][14] . It is worth noting that experiments have been performed in pipes.…”

“…This intriguing feature has motivated the analysis of such instabilities, and, in particular, reduced models of engineering interest have been used to explore their nature. In fact, there is not a consensus on the nature of these instabilities, some studies proposing a chemical mechanism [13] , whereas other underline the main role of hydrodynamics [14] . It is therefore relevant to get insights from a fundamental study of such instabilities.…”

“…Moreover, while reduced models have been shown to correctly capture the main physics of the problem with detailed chemistry [10] and even with one-step chemistry [14] , the precise instability dynamics remains to be unfold. In this sense, first numerical studies have been carried out in a configuration idealizing experiments [22] , a planar channel with a step-wise temperature and reduced chemistry.…”