Abstract With an interest on atomization in turbulent flows, and modeling alternatives to classic atomization models and Direct Numerical Simulations (DNS), the present work derives and tests two droplet-size distributions parametrized by local information about the flow. One distribution is heuristic and another one is based on the linear-eddy model. Predictions from these distributions are tested with numerical simulations in which the unresolved droplet-mass production is closed by assuming that turbulence is the rate controlling mechanism and by using a correction step. Moreover, the testing considers a round jet with a Reynolds number of 5000 from which DNS data is available. Overall, it is found that the present atomization model provides an enhancement of accuracy of the droplet-mass production and droplet-diameter distribution in comparison with using no model. Furthermore, the predicted droplet-diameter distribution is more accurate than that using a previous assumption of taking droplet diameters equal to local Taylor microscales. These results are obtained with simulations whose cost is orders of magnitude less than DNS.

中文翻译：

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湍流雾化的多尺度建模：液滴尺寸采样

摘要 出于对湍流中雾化的兴趣，以及对经典雾化模型和直接数值模拟 (DNS) 的建模替代方案，本工作推导出并测试了两个由流动的局部信息参数化的液滴尺寸分布。一种分布是启发式的，另一种基于线性涡模型。这些分布的预测通过数值模拟进行测试，其中通过假设湍流是速率控制机制并使用校正步骤来关闭未解决的液滴质量产生。此外，测试考虑了雷诺数为 5000 的圆形喷气机，可从中获得 DNS 数据。全面的，发现与不使用模型相比，本雾化模型提高了液滴质量产生和液滴直径分布的准确性。此外，预测的液滴直径分布比使用先前假设液滴直径等于局部泰勒微尺度的假设更准确。这些结果是通过模拟获得的，其成本比 DNS 低几个数量级。