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arXiv 1807.04896physics.flu-dyn
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移动腔壁作用下三维空腔内的混合

Mixing in 3-D Cavity by Moving Cavity Walls

Alex Povitsky

摘要:

本文用立方腔流动作为各种自然流动和工程流动的几何简单模型,对三维封闭空间内的混合进行了数值研究。在雷诺数Re=2000的情况下,对移动空腔壁的几种代表性情况下的混合速率进行了评估:平行空腔壁的垂直运动(情况A),壁在其平面内沿其对角线的运动(情况B1),两个垂直壁向公共边缘外的运动(情况B2),并且平行腔壁在平行方向(情况B3)或相反方向(情况B4)上运动。混合率进行了比较,著名的基准情况下,其中一个腔壁沿其边缘移动(情况C)。所考虑的情况下,混合的强度进行了评估(i)混合的发展空腔流最初在休息,这是由空腔壁(S)的脉冲运动开始,和(ii)混合的发展空腔流。对于这两种情况,两种混合流体的初始界面是位于空腔中间的水平面。对于二十个时间单位的流动混合,混合速率从最快到最慢排列。将纯对流混合作为一种极限情况来模拟,以揭示混合的对流机制。对不同密度流体的混合进行建模,以显示真正的3D情况A和B1在混合率方面的优势。网格收敛性研究和比较发表的数值解三维和二维空腔流。讨论了空腔流动的三维性对混合率的影响。

英文摘要:

The mixing in three-dimensional enclosures is investigated numerically using flow in cubical cavity as a geometrically simple model of various natural and engineering flows. The mixing rate is evaluated for up to the value of Reynolds number Re=2000 for several representative scenarios of moving cavity walls: perpendicular motion of the parallel cavity walls (Case A), motion of a wall in its plane along its diagonal (Case B1), motion of two perpendicular walls outward the common edge (Case B2), and the parallel cavity walls in motion either in parallel directions (Case B3) or in opposite directions (Case B4). The mixing rates are compared to the well-known benchmark case in which one cavity wall moves along its edge (Case C). The intensity of mixing for the considered cases was evaluated for (i) mixing in developing cavity flow initially at rest, which is started by the impulsive motion of cavity wall(s), and (ii) mixing in the developed cavity flow. For both cases, the initial interface of the two mixing fluids is a horizontal plane located at the middle of the cavity. The mixing rates are ranked from fastest to slowest for twenty time units of flow mixing. The pure convection mixing is modeled as a limit case to reveal convective mechanism of mixing. Mixing of fluids with different densities is modeled to show the advantage in terms of mixing rate of genuinely 3-D cases A and B1. Grid convergence study and comparison with published numerical solutions for 3-D and 2-D cavity flows are presented. The effects of three-dimensionality of cavity flow on the mixing rate are discussed.

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。

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