On the motion of a liquid in a spheroidal cavity of a precessing rigid body. II
摘要：
It is supposed that a viscous incompressible fluid is contained in an oblate spheroidal cavity (major axesa, eccentricitye) in a rigid body, and that, up to timet= 0, both fluid and container rotate together with angular velocity ω about the minor axisLBof the spheroid, which is fixed in space. Att= 0, the axis of rotation is moved impulsively, and is given a motion of precession (angular velocity Ω) about an axisLSfixed in space, which makes an angle α withLB. It is required to find the ultimate state of motion of the fluid relative to the container. In a previous paper (Stewartson and Roberts (4)), this problem was solved for arbitrary α under the assumptions that wherevis the kinematic viscosity. In the present paper, it is shown how the problem may be solved for arbitrarye(including zero) under the assumptions that
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DOI：
10.1017/S0305004100038858
被引量：
年份：
1965
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