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Shallow flow past a cavity: attenuation of oscillations via a bed perturbation

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Abstract

Fully turbulent shallow flow past a cavity can give rise to highly coherent oscillations, which arise from coupling between the inherent instability of the separated shear layer along the cavity opening and a gravity standing wave within the cavity. The objective of the present investigation is to attenuate these oscillations by a single geometric perturbation (cylinder) on the bed (bottom surface), which is located near the leading corner of the cavity. The patterns of the flow structure are characterized as a function of height of the cylinder above the bed by using particle image velocimetry. Reduced amplitude of the coupled oscillation can be attained for values of cylinder diameter and height nearly an order of magnitude smaller than the water depth. The reduction of oscillation amplitude is associated with an increased width of the separated shear layer along the opening of the cavity, even at elevations above the bed much larger than the height of the cylinder. Near the bed, a vorticity defect in the separated shear layer and deflection of the layer away from the cavity opening are evident. The attenuation of the oscillation amplitude is associated with: a major decrease in the peak values of the normal and shear Reynolds stresses in the separated shear layer; degradation of coherent, phase-averaged patterns of vortex formation; and decreased scale of the coherent vortical structures that propagate downstream along the cavity opening. These changes in the stresses and the flow structure are, in turn, directly correlated with lower values of exchange velocity along the opening of the cavity, which is due to the decreased entrainment demand of the separated shear layer. This decrease in magnitude of the exchange velocity in the presence of the cylinder results in a 50 % reduction of the value of mass exchange coefficient between the cavity and the mainstream.

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Acknowledgments

The support of the National Science Foundation, Grant CBET-0965293, is gratefully acknowledged.

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Authors and Affiliations

  1. Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA , 18015, USA

    B. A. Tuna & D. Rockwell

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  1. B. A. Tuna
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  2. D. Rockwell
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Correspondence to D. Rockwell.

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Tuna, B.A., Rockwell, D. Shallow flow past a cavity: attenuation of oscillations via a bed perturbation. Environ Fluid Mech 15, 179–206 (2015). https://doi.org/10.1007/s10652-014-9370-3

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