Natural Surface Oscillations of Rotating Fluid Along Radial Baffles of Rotor

Abstract

This paper determines natural and resonant frequencies of radial–circular oscillations (waves) on the nonviscous, incompressible fluid partially and evenly filling similar compartments in a rotor that has the cylindrical chamber, solid radial baffles, and constant angular velocity. It is assumed as follows: influence of the gravity and surface tension is negligibly small as compared to the centrifugal effect; configuration of dynamic equilibrium (unperturbed motion) of fluid is an annular rigid body rotation; and the fluid motion perturbed by small lateral deflections of the rotor does not depend on the axial coordinate (plane motion).