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Small oscillations of a liquid in a partitioned cylindrical vessel
Authors:K S Kolesnikov  V E Samodaev
Abstract:The equations of motion of a rigid body whose cavity is partially filled with an ideal fluid have been obtained in works of Moiseev 1, 2, 3], Okhotsimskii 4], Narimanov 5], and Rabinovich 6]. All the equation coefficients have been calculated for a cavity in the form of a circular cylinder or two concentric cylinders.The problem of fluid motion in a partitioned cylindrical cavity was considered by Rabinovich 7]. It was also considered by Bauer 8], who analyzed the particular case of vessel motion in the plane of one of the partitions.In the following we consider the two-dimensional motion of a cylinder with radial and annular baffles, and a definition is given of the velocity potential in the case of arbitrary positioning of the radial baffles with respect to the motion plane. Formulas are obtained for determining the parameters of a mechanical analog of the wave oscillations, which consists of two mathematical pendulum subsystems.
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