Dissipation profiles computed according to Eq. (20). Instantaneous profiles are faint black lines; the time-averaged (over 200 ≤ ct/r_g ≤ 3200) profile is a thick black line. We fit Eq. (28), with β_rec a free parameter, to the time-averaged profile between r = r₀ = 4r_g and r = 16r_g. The fit is drawn as a dashed red line between r = 4r_g and r = 16r_g with a constant vertical offset for clarity.