We also proposed a length scale that is a generalized density-fluctuation weighted Thorpe scale. This length scale has a clear physical interpretation and is a reliable parameter for gauging the strength of stirring. Lid-driven cavity flow was used to provide an illustration of the proposed method. More stirring occurs as Re increases but molecular diffusivity has little effect on it. The effect of Re is more significant than that of Sc on since the stirring is more kinetic aspect.
Molecular diffusion has a strong influence on mixing.
The flow exhibits increased mixing when the Schmidt number is small and the Reynolds number is large. The effect of Sc is more significant than that of the Reynolds number on the mixing efficiency. The mixing efficiency strongly depends on Sc and its maximum is proportional to . The mixing efficiency is more related to fluid properties. The dependence on Re is mainly due to the enhancement of stirring.