Velocity profiles of cyclones and anticyclones in a rotating turbulent flow

Strong rotation makes an underlying turbulent flow quasi-two-dimensional that leads to the upscale energy transfer. Recent numerical simulations show under certain conditions, is accumulated at largest scales of system, forming coherent vortex structures known as condensates. We analytically describe interaction a strong condensate with weak small-scale pulsations and obtain equation allows us determine radial velocity profile U(r) vortex. When external fast, profiles cyclones anticyclones are identical each other well described by dependence U ( r ) ∝ ± ln R / ), where transverse size As decreases, this symmetry disappears: maximum in greater position closer axis comparison anticyclones. Besides, our analysis shows anticyclone cannot exceed critical value, which depends on Rossby Reynolds numbers. The limited only system same conditions. Our predictions based linear evolution background accompanied estimates following nonlinear Navier–Stokes equation.