A spray jet flame is modelled using Large Eddy Simulation (LES) with Doubly Conditional Moment Closure (DCMC). Since turbulent spray flames may include multiple combustion modes, the DCMC model uses both mixture fraction and reaction progress variable as conditioning variables. Conditional spray terms were included in the DCMC model to consider the coupling between evaporation and the flame structure. In the case of spatial homogeneity and in the limit of negligible mixture fraction scalar dissipation rate (SDR), the DCMC equation is shown to reproduce the flame structure of freely propagating laminar flames. For the spray jet flame, a good agreement between the simulation results and the experiments is achieved, in terms of the spray statistics, as well as the instantaneous and mean flame shape. The simulation shows important differences in the flame structure between the turbulent inner and the quasilaminar outer flame branch. The doubly-conditional parametrisation appears to be advantageous for resolving small scale effects related to droplet evaporation. Analysis of the DCMC equation suggests that the behaviour of the flame at its anchoring point is strongly influenced by non-premixed burning modes. The solution appears to be weakly affected by terms of convective transport in the DCMC equation, but significant spatial variations and temporal fluctuations of the conditional reaction rate, around 10 % of the time-based mean, persist. the effect of temperature inhomogeneity on ignition [24] and have so far demonstrated a great potential of the modelling approach for predicting complex, transient combustion phenomena. To the knowledge of the authors, the only simulation of a lab-scale flame using DCMC, coupled with a Reynolds-Averaged Navier Stokes (RANS) computation, has been performed by Sitte and Mas-50 torakos [25]. From a broader perspective, the strategy of double-conditioning has also been recently employed in the CMC-related modelling approach of Conditional Source-term Estimation (CSE) [26].In this work, we present an application of the LES-DCMC approach, based on mixture fraction and reaction progress variable as conditioning variables.
55This allows parametrisation of the whole range from non-premixed to fully premixed flames. Moreover, the effect of liquid droplet evaporation on the flame structure is considered by modelling the spray terms in conditional space. Inclusion of conditional evaporation terms in the model equation is challenging and