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• W2062934599 abstract "We carry out linear and nonlinear analyses on a flow between two infinitely long concentric cylinders with the radii a and b subject to a sliding motion of the inner cylinder in the axial direction. We confirm the linear stability result of Gittler ( Acta Mechanica , vol. 101, 1993, p. 1) for the axisymmetric case, namely the flow is linearly stable against axisymmetric perturbations when the radius ratio η = a / b is greater than 0.1415. We extend his analysis to the non-axisymmetric case and find that the stability of the flow is still determined by axisymmetric perturbations. Our nonlinear analysis exhibits that (i) finite-amplitude axisymmetric solutions exist far below the linear critical Reynolds number for η < 0.1415 and (ii) non-axisymmetric travelling wave solutions appear abruptly at a finite Reynolds number even for η > 0.1415 where the linear critical state is absent." @default.
• W2062934599 created "2016-06-24" @default.
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• W2062934599 date "2011-04-19" @default.
• W2062934599 modified "2023-09-27" @default.
• W2062934599 title "Bifurcations and instabilities in sliding Couette flow" @default.
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• W2062934599 doi "https://doi.org/10.1017/jfm.2011.103" @default.
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