Flux in a Fully Developed Turbulent Regime

Mass Flux in a Fully Developed Turbulent Regime 

The transfer of a solute 0 through a liquid can be effected by three mechanisms  

FIGURE 2.5. Concentration profile for a fully developed turbulent flow. Cq Concentration of species 0 at the electrode surface Cq = bulk concentration of species 0 Spf = thickness of diffusion layer. 

Disregarding for the moment any migration phenomena, a rigorous calculation of the mass flux would have to find quantitative expressions for mass transport in the turbulent bulk. Unfortunately, the treatment of turbulent flow of liquids is much more complex than that for laminar flow. Turbulence is characterized by random and rapid fluctuations in pressure, velocity, and concentration about some mean values. Attempts have been 

The general differential equation describing one-dimensional molecular diffusion can be written as  

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