空腔内混溶流体流动特性的LBM模拟

LBM simulation of miscible fluid flow characteristics in an enclosure

  • 摘要: 顶盖驱动方腔流是一类简单但具有丰富流动物理特征的经典流动。本文采用格子Boltzmann方法(LBM)研究了混溶流体在顶盖驱动方腔中的流体流动与混合行为,重点探究了方腔中高粘度流体与低粘度流体的初始占比、粘性比(M)以及佩克莱数(Pe)对方腔中混溶流体驱替混合过程的影响。结果表明,低粘流体初始占比和 粘性比M 的增加会延缓流场稳定过程,但对稳态时的速度场和浓度分布影响不大。低粘流体初始占比越大,稳态浓度越高,而粘性比M越大,稳态浓度越低。此外,随着Pe的增加,方腔内的混合过程受到抑制,流场加速稳定。在低Pe数下,浓度场的分布由典型的三角形结构转变为圆形结构。

     

    Abstract: Lid-driven cavity flow is a simple yet classic flow configuration that exhibits rich fluid dynamic characteristics. In this study, the lattice Boltzmann method (LBM) is employed to investigate the flow and mixing behavior of miscible fluids in a lid-driven square cavity, with a particular focus on the effects of the initial proportion of low-viscosity fluid, viscosity ratio (M), and Péclet number (Pe) on the displacement and mixing process. The results show that increasing the initial proportion of low-viscosity fluid and the viscosity ratio M delays the stabilization of the flow field but has little effect on the steady-state velocity and concentration distributions. A higher initial proportion of low-viscosity fluid leads to a higher steady-state concentration, whereas a larger viscosity ratio M results in a lower steady-state concentration. Additionally, as Pe increases, the mixing process in the cavity is suppressed, and the flow field stabilizes more quickly. At low Pe, the concentration field transitions from a typical triangular distribution to a circular one.

     

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