The twodimensional inverse energy cascade in a confined domain  Numerical and laboratory experiments
Abstract
A joint experimental and high resolution numerical study of twodimensional (2D) turbulence in a square domain is made. The experiments are performed in a horizontal layer of mercury, submitted to a vertical magnetic field to damp 3D perturbations, and the flow is electrically driven by a network of 36 electrodes. A steady forcing is first applied in a 4 vortex mode, and an instability associated with the pairing of two vortices and the stretching of the two others at the periphery is observed, leading to a global rotation. In the case of a small scale forcing, the inverse energy cascade is limited at large scales, either by the finite size of the domain or the linear bottom friction. When this dissipation is predominant, k to the 5/3 power spectra are measured. When the effect of the confinement in the square box is important, a global rotation is observed. Near the transition between these two regimes, sudden random reversals of the rotation sense occur at very long periods of time.
 Publication:

5th Symposium on Turbulent Shear Flows
 Pub Date:
 1985
 Bibcode:
 1985stsf.procR..13S
 Keywords:

 Cascade Flow;
 Cavitation Flow;
 Turbulent Flow;
 Two Dimensional Flow;
 Energy Transfer;
 Flow Measurement;
 NavierStokes Equation;
 Numerical Flow Visualization;
 Vorticity;
 Fluid Mechanics and Heat Transfer