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: 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,重点探究了高黏度流体与低黏度流体的初始占比、粘性比(M)、佩克莱数(Pe)以及雷诺数(Re)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M 的增加会延缓流场稳定过程,但对速度和浓度的分布特征影响不大。低粘流体初始占比或粘性比M越大,混溶过程中低粘流体的浓度扩散速度越慢。PeRe对速度场和浓度分布均产生影响,Pe的增加或Re的降低会抑制方腔内的混合过程,加快流场的稳定。对于低Pe或较高Re,浓度场的分布形状由典型的三角形结构转变为圆形对称结构。

     

    Abstract: 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. The effects of the initial fraction of low-viscosity fluid, the viscosity ratio (M), the Péclet number (Pe), and the Reynolds number (Re) on the displacement and mixing processes are systematically examined. The results indicate that increasing either the initial fraction of low-viscosity fluid or the viscosity ratio M delays the stabilization of the flow field, while exerting minimal influence on the overall velocity and concentration distributions. A higher initial proportion of low-viscosity fluid or a larger viscosity ratio M results in a lower diffusion speed of concentration during mixing. Both Pe and Re significantly affect the flow and mixing: higher Pe or lower Re suppresses mixing but accelerates flow stabilization. Furthermore, under low Pe or relatively high Re conditions, the concentration field evolves from a typical triangular structure to a circularly symmetric pattern.

     

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