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In this paper we examine the interaction of convection, rotation and meanflows in a thermal annulus. In this system mean flows are driven bycorrelations induced by rotation leading to non-trivial Reynolds stresses. Themean flows act back on the convective turbulence acting as a barrier totransport. For this system we demonstrate that the Generalised QuasilinearApproximation (GQL) (Marston et al 2016) may provide a much betterapproximation to the complicated full nonlinear dynamics than the widely usedQuasilinear Approximation (QL). This result will enable the construction ofmore accurate statistical theories for the description of geophysical andastrophysical flows.

Generalised Quasilinear Approximation of the Interaction of Convection and Mean Flows in a Thermal Annulus