Normal oscillations of liquid flowing from the rotating tank

The purpose of the study was to analyze oscillations of liquid which partially or completely fills the fuel tank rotating around the longitudinal axis of the launch vehicle. The relevance of the problem is substantiated by the importance of assessing the effect of the intake, measuring, damping devices and other inner tank devices on the liquid fuel oscillations. The study introduces the formulation of problems on the motion of an incompressible rotating liquid flowing from an axisymmetric tank of arbitrary shape through the intake device, and gives a detailed study conducted for the fuel compartment in the form of a cylinder as the most common one. Finally, we give the solutions of the problems on normal, i.e. natural, oscillations of the liquid with boundary conditions on a free surface and a surface with resistance — the intake drain surface.