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It is impossible to describe the motion of fine particles in ascending two-phase turbulent flows analytically. Nevertheless it has been found that in every case there exists a range of velocities within which the solid phase of the stream is distributed between the upper and lower outlets according to a fixed relationship. The law, formulated and validated experimentally for this range of velocities, is that the separation of the various narrow size classes between the two ends proceeds in an identical manner regardless of the configuration and length of the channel. This is invariant with respect to the size composition of the solid phase, the size and density of the particles, and the velocity and density of the carrier medium. It has been verified for an array of powdered materials of different densities in 87 different channels. This phenomenon of equivalence applies to any conceivable regime of motion of streams with suspended material., It is impossible to describe the motion of fine particles in ascending two-phase turbulent flows analytically. Nevertheless it has been found that in every case there exists a range of velocities within which the solid phase of the stream is distributed between the upper and lower outlets according to a fixed relationship. The law, formulated and validated experimentally for this range of velocities, is that the separation of the various narrow size classes between the two ends proceeds in an identical manner regardless of the configuration and length of the channel. This is invariant with respect to the size composition of the solid phase, the size and density of the particles, and the velocity and density of the carrier medium. It has been verified for an array of powdered materials of different densities in 87 different channels. This phenomenon of equivalence applies to any conceivable regime of motion of streams with suspended material.