Applying the Bray-Moss-Libby (BML) bi-modal asymptotic limit to a progress variable signal in a premixed turbulent flame, a relation is established between the variation rate of the mean turbulent flame brush thickness, the flame surface wrinkling and the turbulent burning velocity. This scaling suggests that the link between the amplification of the flame surface by turbulence and the increase of the turbulent burning velocity may need to be modulated by a corrective term proportional to the rate of variation of the turbulent flame brush thickness. This correction is expected to be driven by a short relaxation time scale, which is representative of the turbulent flame brush adjusting to its continuously varying turbulence environment. The analysis is grounded on the usual exact expressions for the various characteristic displacements and consumption speeds, widely used in turbulent combustion modeling. Prior to this analysis, the validity of the implication on these characteristic speeds of the thin flamelet framework, introduced to perform the derivation of the relation between the turbulent flame brush dynamics and the turbulent burning velocity, is evaluated from direct numerical simulation (DNS) of a turbulent premixed jet-flame.

将Bray-Moss-Libby(BML)双峰渐近极限应用于预混湍流火焰中的进展变量信号，建立了平均湍流火焰刷厚度、火焰表面起皱和湍流燃烧的变化率之间的关系速度。这种比例表明，湍流对火焰表面的放大与湍流燃烧速度的增加之间的联系可能需要通过与湍流火焰刷厚度的变化率成比例的校正项进行调节。这种修正预计由短弛豫时间尺度驱动，这代表湍流火焰刷适应其连续变化的湍流环境。该分析基于广泛用于湍流燃烧建模的各种特征位移和消耗速度的常用精确表达式。在此分析之前，通过直接数值模拟 (DNS) 来评估薄小火焰框架的这些特征速度的含义的有效性，引入用于推导湍流火焰刷动力学与湍流燃烧速度之间的关系。湍流的预混喷射火焰。