The micro-mixing time in a continuous system is studied with the incorporation model

in which the direct and indirect solutions are compared and the assumptions and parameters are modified to suit for the continuous system. Results showed that the direct solution is more close to the real mixing state

which is strongly affected by the change of the concentrations in the surroundings caused by the ratio of the continuous flows. While

the real concentrations in the aggregate have significant effect on both the solutions

even more than ten times

especially cH+ in the aggregate. By fitting

the relationships of Xs and tm resulted from both solutions are similar

lgXs is linear to lgtm when tm <0.01 s

and is quadratic when tm is larger.