The transfer phenomena of turbulence flow in an agitated tank were studied. Though turbulence is a sort of chaos or confusion in the long-run on the whole

there exist self-similar ordered structures in a local micro region

where cascade fluid phenomena can be depicted by using the form of vortex transport of N-S equation. According to the cluster breakdown process of eddy and the characteristics of turbulence

as well as the influence on each other between the solid and vortex

the distribution of eddies could be found

and the average contact time in which the fluid sweeps the surface of the solid could be obtained. Considering the combination of eddy breakdown with fractal dimension and Higbie’s penetration theory

a new turbulence mass transfer model was established. As the result

a model was valid for fitting the transfer experiment data.