Simulations of a pilot-stabilised flame in a uniformly dispersed ethanol spray are performed using a Doubly Conditional Moment Closure (DCMC) model. The DCMC equation for spray combustion is derived, using the mixture fraction and the reaction progress variable as conditioning variables, including droplet evaporation and differential diffusion terms. A set of closure sub-models is suggested to allow for a first, preliminary application of the DCMC model to the test case presented here. In particular, the DCMC model is used to provide complete closure for the Favre-averaged spray terms in the mean and variance equations of the conditioning variables and the present test case is used to assess the importance of each term. Comparison with experimental data shows a promising overall agreement, whilst differences are related to modelling choices.

中文翻译：

---

双条件力矩闭合的喷射火焰建模

使用双条件力矩闭合 (DCMC) 模型对均匀分散的乙醇喷雾中的引燃稳定火焰进行模拟。使用混合物分数和反应进程变量作为调节变量，包括液滴蒸发和微分扩散项，导出了喷雾燃烧的 DCMC 方程。建议使用一组闭合子模型，以允许 DCMC 模型首次应用于此处介绍的测试用例。特别是，DCMC 模型用于为条件变量的均值和方差方程中的 Favre 平均喷雾项提供完全闭合，并且当前的测试用例用于评估每个项的重要性。与实验数据的比较显示出有希望的总体一致性，而差异与建模选择有关。