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Mathematical Modelling of Evaporating Droplets Dynamics in a Vortex Ring Using Moment Method
Lobachevskii Journal of Mathematics Pub Date : 2020-07-18 , DOI: 10.1134/s1995080220060098
A. K. Gilfanov , R. R. Salahov , T. S. Zaripov

Abstract

The quadrature method of moments (QMOM) and method of moments with a lognormal particle size distribution (PSD) are applied to simulate a cloud of evaporating droplets in a vortex ring flow. Results predicted by both methods are compared for the cases with a sinusoidal and lognormal initial particle size distribution, using Lagrangian particle tracking as a reference solution. Spatial distributions of droplet number density obtained by different methods are shown to be in a qualitative agreement. The method of moments with a lognormal PSD overestimates disappearance of particles leading to the underestimation of droplet mean size and higher values of the variance of PSD. QMOM showed better agreement with the Lagrangian approach than the method of moments with a lognormal PSD.


中文翻译:

使用矩量法的涡流环中蒸发液滴动力学的数学建模

摘要

矩量的正交方法(QMOM)和具有对数正态粒度分布(PSD)的矩量方法用于模拟涡流环流中的蒸发液滴云。使用拉格朗日粒子跟踪作为参考溶液,比较两种方法预测的结果与正弦和对数正态初始粒径分布的情况。通过不同方法获得的液滴数密度的空间分布显示出定性的一致性。具有对数正态PSD的矩方法高估了粒子的消失,导致低估了液滴的平均大小和较高的PSD方差值。与采用对数正态PSD的矩量法相比,QMOM与拉格朗日法显示出更好的一致性。
更新日期:2020-07-18
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