Autorotation of vane with cavity filled by viscous filling

Autorotation of the four-blade axisymmetric vane around the fixed point was considered in the constant flow of medium. The vane contains the cavity that is filled by viscous filling. Aerodynamic force acts upon the blades of the vane. The quasi-steady approach was used for modeling an aerodynamic load. A case for blades with low fineness was considered. Nonlinear approximation of the aerodynamic fineness function was used. Internal friction was modeled as the linear function between the angular speed of the vane and the vortex vector of the filling. This is a mechanical system with variable dissipation. Corresponding dynamic system was simulated for different values of the density of external medium and the coefficient of the internal friction. Oblong type of the vane configuration was considered. Interaction between the external aerodynamic load and the internal friction was observed.