Similar to Fig. 13 except using dimensional values for viscosities. Left frame: A₄₀ vs distance a, assuming ρ = 250 kg m⁻³ for self-consistent runs with W = 1 and W = 20, and 450 kg m⁻³ and 750 kg m⁻³ in hybrid-method simulations with Ω_z/Ω = 4.4 and 7.5, respectively. Middle frame: ν_ɡrav, assuming ring surface density Σ = 650 kg m⁻², representing typical B ring value (Hedman & Nicholson 2016). Dash-dotted red lines indicate Daisaka et al. (2001) formula (Eq. (14)) for ν_ɡrav, for ρ = 250 kg m⁻³ and ρ = 900 kg m⁻³. In the right frame, the shaded regions highlight modeled total viscosities for the B and A ring regions, using Σ = 650 kg m⁻² and Σ = 350 kg m⁻², respectively. Dash-dotted red curves stand now for Daisaka et al. (2001) formula with ν_tot = 2ν_grav. The dashed purple curve indicates the B ring viscosity estimated in Tajeddine et al. (2017).