Features of Hydromechanical Calculation of an Apparatus with a Precessing Mixer

The behavior of a shaft with an axial mixer, suspended on a drive shaft along the axis of the mixer by means of a Hooke joint depends on the type of mixer, the physical properties of the fluid being mixed, and the rotation frequency of the mixer. Based on general hydrodynamic principles, equations are derived for calculating two limiting frequencies within which free precessional rotation of the shaft occurs, as well as equations for calculating the power consumed for mixing and the radius of the circle described by the center of the mixer during precessional motion. The coefficients of the proposed equations are found or refined experimentally.