Upscale energy transfer in thick turbulent fluid layers

H. Xia*, D. Byrne, G. Falkovich, M. Shats

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    134 Citations (Scopus)

    Abstract

    Flows in natural fluid layers are often forced simultaneously at scales smaller and much larger than the depth. For example, the Earth's atmospheric flows are powered by gradients of solar heating: vertical gradients cause three-dimensional (3D) convection whereas horizontal gradients drive planetary scale flows. Nonlinear interactions spread energy over scales 1,2 . The question is whether intermediate scales obtain their energy from a large-scale 2D flow or from a small-scale 3D turbulence. The paradox is that 2D flows do not transfer energy downscale whereas 3D turbulence does not support an upscale transfer. Here we demonstrate experimentally how a large-scale vortex and small-scale turbulence conspire to provide for an upscale energy cascade in thick layers. We show that a strong planar vortex suppresses vertical motions, thus facilitating an upscale energy cascade. In a bounded system, spectral condensation into a box-size vortex provides for a self-organized planar flow that secures an upscale energy transfer.

    Original languageEnglish
    Pages (from-to)321-324
    Number of pages4
    JournalNature Physics
    Volume7
    Issue number4
    DOIs
    Publication statusPublished - Apr 2011

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