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arXiv 1702.04819physics.flu-dyn
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湍流预混火焰前缘的分形标度:应用于LES

Fractal scaling of turbulent premixed flame fronts: application to LES

Francesco Battista, Guido Troiani, Francesco Picano

摘要:

湍流预混火焰前锋的分形标度特性进行了研究,并考虑在大涡模拟框架中模拟亚网格尺度。由于这种薄的反应前沿的宽度不能被分解到大涡模拟的粗网格中,因此考虑了体积中包含的褶皱火焰表面的程度。未分辨的火焰前缘的量通过“分形因子”来估计,该“分形因子”取决于合适的分形维数的定义和分形标度损失的尺度,即内截止长度εi。在这种情况下,本研究认为,实验室实验和一步反应DNS的湍流预混射流火焰在不同制度的湍流预混火焰。分形维数被发现是基本上恒定的,远低于典型的被动标量前线。内截止长度显示出明显的缩放与耗散尺度的柯尔莫哥洛夫在这里考虑的制度。这些功能已被利用执行大涡模拟。良好的模型性能已被发现比较LES对相应的DNS在中等雷诺数和实验数据在较高的雷诺数。

英文摘要:

The fractal scaling properties of turbulent premixed flame fronts have been investigated and considered for modelling sub-grid scales in the Large-Eddy-Simulation framework. Since the width of such thin reaction fronts cannot be resolved into the coarse mesh of LES, the extent of wrinkled flame surface contained in a volume is taken into account. The amount of unresolved flame front is estimated via the "wrinkling facto" that depends on the definition of a suitable fractal dimension and the scale at which the fractal scaling is lost, the inner cut-off length εi. In this context, the present study considers laboratory experiments and one-step reaction DNS of turbulent premixed jet flames in different regimes of turbulent premixed flames. Fractal dimension is found to be substantially constant and well below that typical of passive scalar fronts. The inner cut-off length shows a clear scaling with the dissipative scale of Kolmogorov for the regimes here considered. These features have been exploited performing Large Eddy Simulations. Good model performance has been found comparing the LES against a corresponding DNS at moderate Reynolds number and experimental data at higher Reynolds numbers.

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