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Transferts anisotropes d'énergie en turbulence en rotation et excitation de modes d'inertie

Abstract : We investigate the effect of a backgroung rotation on the decay of a turbulent flow in a confined geometry. Turbulence is generated by rapidly towing a grid in a parallelepipedic water tank. The velocity fields of a large number of independent decays are measured in a vertical plane parallel to the rotation axis using a corotating Particle Image Velocimetry system. We first show that a significant amount of the kinetic energy is stored in a reproducible flow composed of resonant inertial modes. The possible coupling between these modes and turbulence suggests that turbulence cannot be considered as freely decaying in this configuration. We demonstrate however that these inertial modes may be reduced by changing the geometrical features of the grid. Thanks to this new configuration, anisotropic energy transfers in freely decaying turbulence in a rotating frame can be characterized experimentally in the physical space. The anisotropic energy flux density is determined from large data sets of Particle Image Velocimetry measurements. We show that in the presence of a background rotation, the energy distribution reflects a trend towards a 2D flow. This anisotropy is proved to be essentially driven by a nearly radial, but orientation-dependent, energy flux density. We also analyze the flow in a cubic container submitted to a longitudinal libration in order to generate inertial modes that were originally observed when the "simple" grid was used. By comparing the measured flow fields to the expected inviscid inertial modes, we show that only a subset of inertial modes, matching the symmetries of the forcing, may be excited by the libration. We characterize in particular the resonance of the mode of lowest order compatible with the symmetries of the forcing, and discuss the role of the viscosity.
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Cyril Lamriben. Transferts anisotropes d'énergie en turbulence en rotation et excitation de modes d'inertie. Autre [cond-mat.other]. Université Paris Sud - Paris XI, 2012. Français. ⟨NNT : 2012PA112144⟩. ⟨tel-00734192v2⟩

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