Turbulence in fluid layers

Abstract

Flows in natural fluid layers are often forced simultaneously at scales smaller and much larger than the depth. For example, Earth atmospheric flows are powered by gradients of solar heating: vertical gradients cause three-dimensional (3D) convection while horizontal gradients drive planetary scale flows. Nonlinear interactions spread energy over scales. 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 while 3D turbulence does not support an upscale transfer. Here we demonstrate experimentally how a large-scale vortex and a 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 which secures an upscale energy transfer. Show more