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Stability of a Linear Array of Quasi-2D Vortices

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Abstract The stability of a linear array of quasi-two-dimensional (2D) vortices has been investigated using the PIV method in a shallow water tank. An externally imposed Lorentz force is used to drive the vort...ex array; the force is produced by the interaction between a localized static magnetic field and an electrolytic current passing through a thin layer of fluid. The tracer particle method is used for surface flow visualization. The main findings are as follows. The starting vortex array consists of alternately clockwise and counter-clockwise rotating vortices irrespectively of the dimensionless Lorentz force G. Only when G is larger than 150, the starting vortex array is turned with time into an array of cat's-eye vortices corotating in a selected direction of rotation. When G exceeds further 190 the vortex array becomes unstable and a partially turbulent flow begins to develop. A numerical model is also used to explore some of these phenomena.show more

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Created Date 2010.03.09
Modified Date 2017.12.19

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