Observation of turbulent flow with three zones in a rotating annulus

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We have conducted experiments on turbulent flow in a rapidly rotating annulus (outer radius r=43 cm) that was forced by pumping water through a ring of 120 holes (0.25 cm diameter, r_f=27 cm)(J. Aubert, S. Jung, and H.L. Swinney, Geophys. Res. Lett., to appear). The water was pumped in through a semi-circle of 60 holes and out through a semi-circle of 60 holes on the other side of the annulus. Although the net vorticity injected was zero, a zonal flow developed with a co-rotating jet between two counter-rotating jets. Such zonal jets arise similarly from small scale forcing in planetary flows. The annulus has a sloping bottom (β-plane), which provides a reservoir of potential vorticity, q=ω + β (r-r_f), where ω is the vorticity and β is the β-plane parameter. Our study indicates that the potential vorticity is well-mixed, and that the strength of the zonal flow has an upper bound imposed by complete depletion of the β-plane potential vorticity reservoir.

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