In compact photo-bioreactors with high concentration of micro organisms in cultural medium the zone volume of photoabsorption is essentially smaller then general working volume of the apparatus. This discrepancy is overcome by providing an intensive exchange between the dark and light zones. A quantitative characteristic of the intensity of migration exchange is introduced. It is the specific coefficient of mass transfer determined on the basis of solving the problem of Brown convective diffusion near the photoabsorption surface. The structural dependence of the quantity on the problem parameters is found. The qualitative and quantitative difference of this dependence near solid and free surface is discussed.

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