Calculation of the decay rate of oscillations of a low-viscosity fluid rotating in a cylindrical vessel

A study is made of the problem of small oscillations of a low-viscosity fluid rotating under conditions of weightlessness in a cylindrical vessel. For fixed volume of the fluid and different values of the angular velocity and the wetting angle the decay rate and frequency of the characteristic oscillations are calculated. For an ideal fluid, the shapes of the characteristic oscillations of the free surface of the fluid are also calculated.