Le Jiachun. Disturbances to a Rotating Fluid with a Sphere Moving along the Axis of Rotation[J]. Applied Mathematics and Mechanics, 1998, 19(9): 799-804.
Citation: Le Jiachun. Disturbances to a Rotating Fluid with a Sphere Moving along the Axis of Rotation[J]. Applied Mathematics and Mechanics, 1998, 19(9): 799-804.

Disturbances to a Rotating Fluid with a Sphere Moving along the Axis of Rotation

  • Received Date: 1997-01-06
  • Publish Date: 1998-09-15
  • In this paper,the disturbaces to a uniformly rotating idealfluid,with a sphere moving steadily along the axis of rotation are analysed by using linearization theory,the equations of disturbance pressure and distur bance stream function governing the stability of motion are derived based on the assumption that the flow is rotational symmetric.The equation of distur bance stream function is analysed with the method of normal modes,and the constraints on wave number and wave velocity of the nontrivial neutral disturbances are established and the exact expression of the neutral distur bances are obtained.The conclusion is drawn that there are three kinds of possible forms of ne utral disturblances.
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