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

Le Jiachun

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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.

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.

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

Le Jiachun

Department of Engineering Mechanics and Technology, Tongji University, Shanghai 200092, P.R. China

Received Date: 1997-01-06
Publish Date: 1998-09-15

Abstract

Abstract

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.
- rotating fluids,
- mo tion of body,
- small disturbances,
- stability

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References(7)

References

[1]	Proc. Roy. Soc.A,92(1916),408) 424.
[2]	G.I.Taylor,Motion of solids in fluids when the flow is not irrotational,Proc.Roy.Soc.A,93 (1917),99-113.
[3]	S.Goldstein (editor),Modern Developments in Fluid Dynamics,Vol.Ⅰ,Oxford University Press (1938),47.
[4]	H.Honji and T.Hosoyamada,Instability of the rotating gravity flow down a slope,Reports of Research Institute for Applied Mechanics,35(105) (1989),55-64.
[5]	V.A.Gor odtsov,Be havior of a sphere in an ideal uniformly stratified medium,Fluid Mech.Res.,21 (6) (1992),100-106.
[6]	T.K.V.Iyengar and D.S.Charya,Slow steadyr otation of an appr oximate sphere an incompr essible micropolar fluid,Int.J.Eng.Sci.,33(6) (1995),867-877.
[7]	G.I.Taylor,The motion of a sphere in a rotating liquid,Proc.Roy.Soc.A,102 (1922),180-189.