Analytical studies on v-shaped laminar premixed flame front instability at micro gravity

The present studies were motivated by the problem of flame front instability appeared in microgravity environment. Without the influence of buoyancy driven pulsation, the laminar V-shaped microgravity flame is characterized by small ripples. Theoretical explanations for this phenomena have been postulated in this paper. By using the linear stability analysis, we transform the classical G equation into a integral equation that describes the flame shape evolution in two-dimensional space. The application of the shape integral equation to acoustic interaction is presented. The calculated results at different time show the dynamic structure of V flame front. Then, we describe several different dispersion relation for the harmonic instability which is the fundament for further analyzing the intrinsic flame instability. The conclusion points out that the ripples appeared in the laminar microgravity V flame are due to the effect of acoustic interaction coupling with the harmonic instability.