High Reynolds Number Turbulence Model of Rotating Shear Flows

概要

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A Reynolds stress closure model for rotating turbulent shear flows is developed. Special attention is paid to keeping the model constants independent of rotation. First, a general forms of the model of a Reynolds stress equation and a dissipation rate equation are derived, the only restrictions of which are high Reynolds number and incompressibility. The model equations are then applied to two-dimensional equilibrium boundary layers and the effects of Coriolis acceleration on turbulence structures are discussed. Comparisons with the experimental data and with previous results in other external force fields show that there exists a very close analogy among centrifugal buoyancy and Coriolis force fields. Finally, the model is applied to predict the two-dimensional boundary layers on rotating palane walls. Comparisons with existing data confirmed its capability of predicting mean- and turbulent quantites without employing any empirical relations in rotating fields.
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