arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv physics/0212057physics.flu-dyn
收藏

流体流动中的火焰强化和熄灭

Flame Enhancement and Quenching in Fluid Flows

Natalia Vladimirova, Peter Constantin, Alexander Kiselev, Oleg Ruchayskiy, Leonid Ryzhik

摘要:

我们进行直接数值模拟(DNS)的平流标量场的扩散和反应,根据非线性反应定律。我们的目标是研究如何散装燃烧速率的反应是由一个强加的流量的影响。特别是,我们感兴趣的数值结果与最近预测的分析上限和下限进行比较。我们专注于两类具有不同几何形状的强加模型流的反应增强和猝灭现象:周期剪切流和细胞流。我们主要感兴趣的是快速平流区。我们发现剪切流中的整体燃速v满足v ~ a*U+b,其中U是典型的流速,a是一个常数,取决于流动的振荡长度尺度与层流前缘厚度之间的关系。对于细胞流,我们得到v ~ U^{1/4}。我们还研究了火焰熄灭(淬火)的点火型反应规律和compensated支持的初始数据的标量场。我们发现,在剪切流中,尺寸W的火焰通常可以被振幅为U ~ α *W的流淬灭。常数α取决于流动的几何形状,如果流动剖面具有大于临界尺寸的平台,则常数α趋于无穷大。在胞状流中,我们发现,如果胞状流的尺寸小于一个临界值,则猝灭所需的平流强度为U ~ W^4。

英文摘要:

We perform direct numerical simulations (DNS) of an advected scalar field which diffuses and reacts according to a nonlinear reaction law. The objective is to study how the bulk burning rate of the reaction is affected by an imposed flow. In particular, we are interested in comparing the numerical results with recently predicted analytical upper and lower bounds. We focus on reaction enhancement and quenching phenomena for two classes of imposed model flows with different geometries: periodic shear flow and cellular flow. We are primarily interested in the fast advection regime. We find that the bulk burning rate v in a shear flow satisfies v ~ a*U+b where U is the typical flow velocity and a is a constant depending on the relationship between the oscillation length scale of the flow and laminar front thickness. For cellular flow, we obtain v ~ U^{1/4}. We also study flame extinction (quenching) for an ignition-type reaction law and compactly supported initial data for the scalar field. We find that in a shear flow the flame of the size W can be typically quenched by a flow with amplitude U ~ alpha*W. The constant alpha depends on the geometry of the flow and tends to infinity if the flow profile has a plateau larger than a critical size. In a cellular flow, we find that the advection strength required for quenching is U ~ W^4 if the cell size is smaller than a critical value.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑