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A note on forward wakes in rotating fluids

Published online by Cambridge University Press:  29 March 2006

K. Stewartson
K. Stewartson
Affiliation:
University College, London
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Abstract

The two studies by Professor Miles (1970a, b) on the motion of a rotating fluid past a body raise the important question of the determinancy of such flows, by theoretical arguments, which it seems worth while making more precise. Suppose we have a fluid which when undisturbed has a uniform velocity U in the direction Ox and a uniform angular velocity Ω about Ox. It is slightly disturbed, the resulting motion having velocity components (u + U, v, Ωr + w) relative to cylindrical polar axes (x, r, θ), centre O and in which r measures distance from Ox, while θ is the azimuthal angle. Assuming that u, v, w are sufficiently small for their squares and products to be neglected, and are independent of θ, the equations governing their behaviour reduce to

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 42 , Issue 1 , 4 June 1970 , pp. 219 - 223
Copyright
© 1970 Cambridge University Press

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References

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