Abstract
A fluid flow enclosed in a cylindrical container where fluid motion is created by rotation of the lid is studied. Through the no-slip boundary condition at the rotating lid, the fluid flow is centrifuged toward the cylinder wall, forming a strong vortex core along the axis of the container. Direct numerical simulations and spatio-temporal analysis of the axisymmetric flow are presented here at various Reynolds numbers in the early transition scenario. Slightly above the instability onset, the central vortex core forms a breakdown bubble which, at higher Reynolds numbers, undergoes a vertical beating motion. This is accompanied by the continued formation of axisymmetric spikes on the edge of the breakdown bubble which travel along the central vortex core toward the rotating end-wall. The data analysis is performed by using the proper orthogonal decomposition.
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Christensen, E.A., Aubry, N., Sørensen, J.N. (1999). On the Space-Time Structure of Axisymmetric Rotating Flows. In: Sørensen, J.N., Hopfinger, E.J., Aubry, N. (eds) IUTAM Symposium on Simulation and Identification of Organized Structures in Flows. Fluid Mechanics and Its Applications, vol 52. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4601-2_9
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DOI: https://doi.org/10.1007/978-94-011-4601-2_9
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