Oscillatory Burner-Attached Diffusion Flame in a Viscous Vortex
Published on Dec 2, 2018in Combustion Science and Technology1.564
· DOI :10.1080/00102202.2018.1497018
ABSTRACTA method for mathematically solving the oscillatory infinite reaction rate diffusion flame is extended to the case where the oscillating convective coflow is either inside of, or adjacent to, a viscous vortex. The neglect of streamwise diffusion coupled with the restriction to infinite rate chemistry produces a Burke-Schumann boundary layer flame. The mathematical transformation, which does not require a priori restriction to small coflow oscillations, renders the transient oscillatory problem equivalent to a steady-state problem that can be solved mathematically and numerically evaluated to a high degree of accuracy. Flow fluctuations that are large fractions of the initial flow field are described exactly. Features of the flame response are examined without recourse to detailed time-dependent numerical simulations. There is no need to perform any small-perturbation analyses. The method is applied to examine the influences of the bulk inflow speed, the bulk inflow oscillation rate, and the intera...