How Does Mixing Take Place

Mixing in a solution phase is defined as a phenomenon that creates homogeneity of all species in the solution. One might think that such homogeneity is achieved immediately after A is added to the solution of B with vigorous stirring, but this is not true. It takes time to achieve 

According to Rys s paper,the mixing takes places as follows  

If we add a solution of species A to a solution of species B, eddies of solution A in solution B are created. As a first approximation, these eddies can be considered as spherical drops with constant mean radius R. The lifetime of such an eddy can be estimated to be 0.01-1 s. The radius R depends on the intensity of the turbulence created by mixing and may be controlled, for example, by mechanical stirring. From the theory of turbulence, one can estimate the minimum mean size of such elements of liquid. For the common solvents water, methanol, and ethanol, the mean minimum radius R of the eddies in optimal turbulence is approximately 10 to 10 cm. 

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