Journal of Fluid Mechanics · 1987 · 339 citations · 20 references
Natural SciencesPhysicsAerodynamicsFluid DynamicsRheologyFlow BehaviorFlow StabilityHydrodynamic StabilityLow-reynolds-number FlowViscous FlowVortex DynamicsFree Shear FlowsInstability Of Shear LayersMomentum BalancePeriodic OscillationsStagnation PointsViscous EffectsWake DynamicsWake Flow
The study links cavity drag to shear‑layer momentum transport and Reynolds stresses, showing how these relate to oscillation amplification. Periodic oscillations of the cavity shear layer lower drag by fixing the mean‑shear‑layer stagnation point at the downstream corner, yet when the cavity width‑to‑depth ratio exceeds a critical value a wake‑mode instability abruptly raises drag, and the shear layer behaves differently from a free shear layer.
An experimental investigation of flow over an axisymmetric cavity shows that self-sustained, periodic oscillations of the cavity shear layer are associated with low cavity drag. In this low-drag mode the flow regulates itself to fix the mean-shear-layer stagnation point at the downstream corner. Above a critical value of the cavity width-to-depth ratio there is an abrupt and large increase of drag due to the onset of the ‘wake mode’ of instability. It is also shown by measurement of the momentum balance how the drag of the cavity is related to the state of the shear layer, as defined by the mean momentum transport $\rho\overline{u}\overline{v}$ and the Reynolds stress $\rho\overline{u^{\prime}v^{\prime}}$ , and how these are related to the amplifying oscillations in the shear layer. The cavity shear layer is found to be different, in several respects, from a free shear layer.
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The forced mixing layer between parallel streams
D. Oster, I. Wygnanski · Journal of Fluid Mechanics · 1982 · 625 citations
The two-dimensional mixing region
I. Wygnanski, H. E. Fiedler · Journal of Fluid Mechanics · 1970 · 578 citations