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The paper considers two-phase gas-solid turbulent flow of pneumatic transport   in straight horizontal channels with a non-circular cross-section. During   turbulent flow, a specific flow phenomenon, known as secondary flow, occurs   in these channels in the cross-sectional plane. The existence of strong   temperature gradients in the cross-sectional plane of the channel or the   cases of curved channels result in the appearance of the secondary flow of   the first kind. However, in straight channels with a non-circular   cross-section, in the developed turbulent flow mode, a secondary flow, known   as Prandtl’s secondary flow of the second kind, is induced. The paper   presents a numerical simulation of a developed two-phase turbulent flow by   using the PHOENICS 3.3.1 software package. Reynolds stress model was used to   model the turbulence. The paper provides the data on the changes in turbulent   stresses in the channel cross-section as well as the velocities of solid   particles transported along the channel

The influence of secondary flow in a two-phase gas-solid system in straight channels with a non-circular cross-section