The problem of small motions op a body with a cavity partially pilled with a viscous fluid: PMM vol. 33, no. 1, 1969, pp. 117–123

Abstract

The general problem of motion about a fixed point O 1 of a rigid body with a cavity partially or totally with a viscous incompressible fluid, under the action of gravity is studied here in its linearized approximation. Surface tension is neglected For the case of motion about the center of mass when the cavity is completely filled, this problem was considered in [1]. The general problem when the fluid viscosity is assumed to be small was considered in the paper of F.L. Chernous'ko [2].