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.