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SCALAR TRANSPORT IN SELF-SIMILAR, DEVELOPING, PREMIXED, TURBULENT FLAMES

机译:自相似,发展中,混合,湍流火焰的标量运输

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摘要

A statistically planar, one-dimensional, developing flame that propagates against a statistically stationary and uniform turbulent flow of an unburned mixture and does not affect the turbulence is theoretically studied invoking an assumption of the self-similarity of the mean flame structure. A generalized diffusion coefficient is introduced to account for the development of turbulent diffusivity, pressure-driven countergradient transport, and effects of chemical reactions on the transport term in the balance equation for the mean combustion progress variable. The pressure-driven transport and reactions counteract one another, thus, allowing us to use the gradient diffusion closure of the transport term even if turbulent scalar flux is countergradient. The derived expressions are used to extend the Flame Speed Closure model of premixed turbulent combustion and the extended model is applied to simulate recent experiments performed using the Leeds fan-stirred bomb. The model well predicts the speed, thickness and structure of statistically spherical flames that expand in the bomb after spark ignition.
机译:从理论上研究平均火焰结构自相似性的假设,研究一种统计平面,一维发展中的火焰,该火焰在未燃烧的混合物的统计平稳且均匀的湍流中传播,并且不影响湍流。引入了广义扩散系数以说明湍流扩散率的发展,压力驱动的逆梯度输运以及平均燃烧进程变量的平衡方程中化学反应对输运项的影响。压力驱动的传输和反应相互抵消,因此,即使湍流标量通量是反梯度的,我们也可以使用传输项的梯度扩散闭合。导出的表达式用于扩展预混合湍流燃烧的火焰速度闭合模型,并且扩展的模型用于模拟使用利兹风扇搅拌炸弹进行的最新实验。该模型很好地预测了火花点火后在炸弹中膨胀的统计球形火焰的速度,厚度和结构。

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