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Journal of Fluid Mechanics
ISSN: 0022-1120

EISSN: 1469-7645

URL: /core/journals/journal-of-fluid-mechanics
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Volume 42 - 9 July 1970

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Numerical Methods for Partial Differential Equations. By W. F. ARIES. Nelson, 1969. 291 pp. £3. 5s. Computational Methods in Partial Differential Equations. By A. R. MITCHELL. Wiley, 1969. 255 pp. £4 (cloth) or £2. 5s. (paper).
N. O. Weiss
Published online by Cambridge University Press:

29 March 2006, pp. 431-432
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Research Article

A note on forward wakes in rotating fluids
K. Stewartson
Published online by Cambridge University Press:

29 March 2006, pp. 219-223
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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

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Volume 42 - 9 July 1970

REVIEW

Numerical Methods for Partial Differential Equations. By W. F. ARIES. Nelson, 1969. 291 pp. £3. 5s. Computational Methods in Partial Differential Equations. By A. R. MITCHELL. Wiley, 1969. 255 pp. £4 (cloth) or £2. 5s. (paper).

Research Article

A note on forward wakes in rotating fluids

Journal of Fluid Mechanics

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Volume 42 - 9 July 1970

REVIEW

Numerical Methods for Partial Differential Equations. By W. F. ARIES. Nelson, 1969. 291 pp. £3. 5s. Computational Methods in Partial Differential Equations. By A. R. MITCHELL. Wiley, 1969. 255 pp. £4 (cloth) or £2. 5s. (paper).

Research Article

A note on forward wakes in rotating fluids