Mass-loss rate Ṁ and ram pressure P_ram as radial profiles compared to the empirical constraints derived from observations taken by PSP. In both panels, the black solid line represents an equatorial radial profile taken from the simulation and the blue line and filled-in area represent the mean observational values from PSP and a deviation of 1σ, respectively. Upper panel: mass-loss rate Ṁ. The green dashed-dotted line represents the mass-loss rate derived from surface integrals following Eq. (16) for radial shells distributed throughout the simulation domain. Lower panel: ram pressure P_ram. The red solid line represent the radial polar profile from our simulation results.