A procedure for analysis of power consumed for mixing is proposed, the velocity field of flows investigated, and an estimate of the gas-exchange rate given for hollow vessels.Hollow vessels are classed as a new, as yet little understood, type of compact heat-exchange equipment. A typical hollow vessel is a vertical cylindrical container partially filled with liquid, in the central section of which a squirrel-cage mixer with flexible vertical dispersing elements (blades) is located (Fig. 1).When the rotational speed of the mixer is of the order of several hundreds of rpm, the liquid is forced against the periphery, and a cavity is formed in the central section; the mixing elements, which impart rotation to the cylindrical liquid layer slowed by the outer fixed wall of the vessel, move in the vicinity of the surface of this cavity. Similar vessels are used successfully as photo-fermenters for the cultivation of spirulina or chlorella types of microorganisms [1].In the hollow vessel, a nonuniform centrifugal-force field, which depends on the distance to the axis of rotation, and which provides verticality to the wall of the cavity, acts against the spinning flow of the process medium.Since the displacement of the moving device (mixer, rotor, moving wall) cannot be closed as a result of the medium's inertia, however, an additional nonuniform velocity field relative to the rotating reference system, which on interacting with the angular rotational speed of the device, will give rise to the appearance in the latter of an additional nonuniform field -Coriolis force field.As a result, the combined nonuniform force field will acquire a complex structure in this vessel. The most important element of the hollow vessel is a mixer with a discrete number of meridionally arranged flexible cylindrical blades -cross braces. The mixer with a diameter d m is situated on the axis of the cylindrical container, and is spun at a rotational speed n. The level to which the container is filled with liquid initially establishes the operating position of a mixer blade near the surface of the spinning liquid layer on radius d m /2. On the surface of the cavity, the velocity of the liquid is somewhat lower than the linear velocity of the mixer's elements. The rotating liquid layer is slowed by the fixed cylindrical wall of the container such that the tangential-velocity profile of the liquid in the layer is diminished along the radius. At the rotational speed of the mixer that promotes the formation of a Carman eddy trail on flowing past the cylindrical blades, the structure of the rotating liquid layer is a homogeneous region occupied by Carman eddys, or their filial vortex formations (this is in closer agreement with the actual hydrodynamic situation under the given conditions of flow past the cylindrical blades).In this region, dissipative-free transfer of kinetic moment and energy from the mixer to increasingly deeper layers of liquid is carried out with use of the mechanism of eddy (turbulent) diffusion. Only at the wall of the vessel is...