Equilibrium solutions of the 2D advection-diffusion Eq. (44) with prescribed υ_x and υ_z (Eq. (46)) for two different grain sizes. The diffusion coefficients are uniform in z. The colourmaps indicate the dust density distribution and the blue lines are the velocity streamlines in the poloidal plane. The top panels correspond to a uniform wind with δ = ∞ and Ω_w = 6 × 10⁻³ while the bottom panels correspond to wind plume of width δ = 0.7H. In both cases, we fixed the inclination of the wind i = 40^∘ and the amplitude of the zonal flow A_x = 0.5, as well as the two diffusion coefficients D_x = 2.5 × 10⁻⁴ and D_z = 3 × 10⁻⁴.