The dynamics of the flow past a cylinder is drastically affected when external periodic disturbances are present in the flow. For a certain range of amplitude and frequency of disturbances the flow bifurcates to a chaotic state, even at low Reynolds numbers. In this Letter, the effect of these chaotic responses on transport measures (e.g., the heat transfer coefficient) by direct numerical simulations using spectral element methods is investigated. It is found that transport quantities oscillate aperiodically in time; their time‐averaged value increases slightly from the undisturbed state. However, their amplitude increases dramatically from that of the undisturbed flow or any other excited, resonant, or quasiperiodic neighboring state.
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Letter| April 01 1989
The crisis of transport measures in chaotic flow past a cylinder
George Em Karniadakis;
George Em Karniadakis, George S. Triantafyllou; The crisis of transport measures in chaotic flow past a cylinder. Phys. Fluids 1 April 1989; 1 (4): 628–630. https://doi.org/10.1063/1.857435
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