The mechanism of liquid-liquid mixing mainly includes laminar mixing and turbulent mixing. The mixing process between high viscosity liquids (viscosity above 10 Pa· s) is usually laminar mixing. For most chemical production processes, the viscosity of liquid materials is relatively low, generally below 10 pa.s. At this time, mixing is often realized by strong turbulence between fluids [2]. The mechanism of turbulent mixing is complicated. Generally speaking, when two streams of fluids meet, the following mixing process will occur: (1) Macro-mixing At the initial stage of mixing, there is a large vortex inside the liquid due to turbulence. With the mixing process going on, the larger vortex will transfer material by exchanging positions under the action of turbulent stretching and shearing, and at the same time, energy will be transferred from the large vortex to the small vortex. From the observation scale larger than the vortex size, the macroscopic concentration uniformity is achieved. On the scale smaller than the vortex size, there is no obvious mixing. (2) Mesoscopic mixing, that is, under the further action of turbulent stretching and shearing force, the vortex is further deformed and divided into smaller micro-clusters, until the smaller scale, that is, Kolmogorov[3] scale micro-clusters. However, these mixtures remain highly separated in Kolmogorov-scale micelles at the molecular level. On this scale, small vortices are transformed into Kolmogorov-scale micro-clusters mainly through two ways: vortex fragmentation and vortex diffusion. Through these two actions, the degree of inhomogeneity of the mixture is reduced to the size of the vortex itself. (3) Micro-mixing Micro-mixing refers to the mixing on the molecular scale. When the size of vortex micelles is small enough, molecular diffusion works in a short distance, resulting in the mixture reaching the random distribution of molecular scale. At this time, the mixture has reached a high degree of homogeneity at the molecular level. Baldyga[4] and others think that when the spatial scale of the vortex micro-cluster reaches Kolmogorov scale, the vortex micro-cluster will suck the surrounding fluid and form a short tubular vortex structure. In the tubular vortex structure, the fluid flow is laminar flow, and molecules are diffused among different layered fluids. For the mixing process between low viscosity small molecular (or medium molecular) fluids, the time scale of forming tubular vortex structure is generally larger than that of molecular diffusion, which becomes the main factor to control the micro-mixing of liquid and liquid. Generally speaking, the mixing process of the above three scales is carried out sequentially, but to a certain extent, it is also carried out at the same time, and the time scale of the whole mixing process needs to comprehensively consider the mixing process of the above three scales.
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