Theoretical Studies of Harmonic Perturbations in Turbulent Shear Flows for Purpose of Flow Control

Tumin, Anatoli; Degani, David; Lifshitz, Yuli

doi:10.2514/6.2006-3355

Cited by 2 publications

(2 citation statements)

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“…If the eddy viscosity is a continuous function, e n T ¼ n T . Comparison with experimental data [6,8,26] indicates a good potential of (7) for weak coherent waves in turbulent mixing layers, wakes, and boundary layers subjected to a high adverse pressure gradients if e n T ¼ n T [35]. We use this equality in the following.…”

Section: Governing Equationsmentioning

confidence: 91%

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On the Interaction of Turbulent Shear Layers with Harmonic Perturbations

Lifshitz

Degani

Tumin

2007

Flow Turbulence Combust

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The problem of coherent perturbations in a turbulent shear layer is considered for the purpose of developing a mathematical model based on a triple decomposition that extracts the coherent components of random fluctuations. The governing equations for the mean and the coherent parts of flow are derived, assuming the eddy-viscosity equivalence for the random part of flow, and solved by iterations to provide a coupled solution of the problem as a whole. Calculations agree well with experimental data in the upstream part of the layer where the mean-coherent flow interaction is the most important. In this region, the interaction changes the mean flow velocity distribution in such a manner that the neutral stability curve is shifted upstream relative to its position in the undisturbed layer and the perturbation intensity decreases further downstream. Experiments show that the coherent waves suppress the turbulent Reynolds stress production downstream of this region, but the model fails to predict the layer spreading correctly probably due to an inadequate turbulence closure of the mean flow. For the case of a turbulent mixing layer, we suggest a new closure relation that takes into account this coherent-random interaction.

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Section: Governing Equationsmentioning

confidence: 91%

“…Several properties of the mean-coherent interaction are addressed within the scope of the model under consideration, and the shortcomings and ambiguity of the turbulence closure are analyzed. Preliminary results have been recently presented in [21][22][23][24][25]35]. …”

Section: Introductionmentioning

confidence: 98%