Meridional cuts showing the coloured contours of the steady differential rotation normalised to the top value in the left panel, and the norm of the total meridional velocity field with its associated streamlines (in black) in the right panel, in the Taylor–Proudman regime. As previously, outside the tangent cylinder the solid lines describe a clockwise circulation, and the dashed lines an anticlockwise circulation; inside the tangent cylinder the solid lines represent an upward meridional flow and the dashed lines a downward flow. The parameters of the simulation are E = 10⁻⁴, P_r(N₀/Ω₀)² = 10⁻⁴, Re_c = 10⁻², and ρ_i/ρ₀ = 20.9 (run 1.1 in Table 6).