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- W2000925446 abstract "The occurrence of detached shear layers should, according to straightforward theoretical arguments, often characterize hydrodynamical motions in a rapidly rotating fluid. Such layers have been produced and studied in a very simple system, namely a homogeneous liquid of kinematical viscosity v filling an upright, rigid, cylindrical container mounted coaxially on a turn-table rotating at Ω 0 rad/s about a vertical axis, and stirred by rotating about the same axis at Ω 1 rad/s a disk of radius a cm and thickness b ’ cm immersed in the liquid with its plane faces parallel to the top and bottom end walls of the container. By varying Ω 0 , Ω 1 and a , ranges of Rossby number, the modulus of ε ≡ (Ω 1 + Ω 0 )/½ (Ω 1 + Ω 0 ), from 0·01 to 0·3, and Ekman number, E ≡ 2 v / a 2 (Ω 1 + Ω 0 ), from 10 −5 to 5 × 10 −4 were attained. Although the apparatus was axisymmetric, only when |ε| did not exceed a certain critical value, |ε T |, was the flow characterized by the same property of symmetry about the axis of rotation. Otherwise, when |ε| > |ε T |, non-axisymmetric flow occurred, having the form in planes perpendicular to the axis of rotation of a regular pattern of waves, M in number, when ε was positive, and of a blunt ellipse when ε was negative. The axial flow in the axisymmetric detached shear layer, and the uniform rate of drift of the wave pattern characterizing the non-axisymmetric flow when ε is positive, depend in relatively simple ways on ε and E . The dependence of|ε T | on E can be expressed by the empirical relationship |ε T | = AE n , where A = 16·8 ± 2·2 and n = 0·568 ± 0·013 (= (4/7) × (1·000 − (0·005 ± 0·023))!), standard errors, 25 determinations. M does not depend strongly on E but generally decreases with increasing ε." @default.
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- W2000925446 date "1967-07-18" @default.
- W2000925446 modified "2023-10-14" @default.
- W2000925446 title "Detached shear layers in a rotating fluid" @default.
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- W2000925446 doi "https://doi.org/10.1017/s002211206700062x" @default.
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