Correction to: Direct Numerical Simulation of head-on quenching of statistically planar turbulent premixed methane-air flames using a detailed chemical mechanism (Flow Turbulence Combust https://doi.org/10.1007/s10494-018-9907-5)

Abstract

In Lai et al. [1] the distributions of reaction progress variable c, non-dimensional temperature T = (T − T0)/(Tad − T0) (whereT is the instantaneous dimensional temperature, T0 is the unburned gas temperature and Tad is the adiabatic flame temperature), normalised heat release rate ΩT = ˙ωT ×δth /(ρ0SLCp0T0) (where ˙ωT is the dimensional heat release rate) and normalised reaction rate of reaction progress variable Ωc = ˙ω × δth/ρ0SL (where ˙ω is the reaction rate of reaction progress variable) in the wall normal direction are shown in Fig. 3 at different time instants for laminar flames using detailed (16 species, 25 reaction steps) [2] and single-step chemical mechanisms (i.e. cases A and B respectively) with ρ0, Cp0 SL and δth being the unburned gas density, mixture specific heat at constant pressure in the unburned gas, unstrained laminar burning velocity and the thermal flame thickness, respectively. Unfortunately, in Fig. 3 of [1] the distributions of reaction progress variable c and non-dimensional temperature T got interchanged for the simple chemistry case B. It was an error in plotting, and this error did not affect any of the results and conclusions in the paper [1]. The revised figure is shown below as Fig. 1 where distributions of c, T, ΩT and Ωc in the wall normal direction are shown for cases A (detailed chemistry) and (Figure presented) B (single-step chemistry). The non-dimensional temperature T remains 0 at the wall (i.e. x1/δth = 0) due to Dirichlet boundary condition (i.e. temperature at the wall corresponds to the unburned gas temperature) for both cases A and B. However, the value of c increases with time at the wall with the progress of head-on quenching for both cases A and B due to zero gradient boundary condition in the wall normal direction.