Panel (a), energy contributions to the overall inner energy budget for every disk annulus at radius r. Q : ∇u, Γ − Λ, P_gas ∇⋅u, 4 π Σ κ_R(J − S), and Ė_adv, denote energy rates per unit volume due to viscous heating, heating or cooling over the surface, work done by gas pressure per unit time, radial radiation flux, and net inner energy advection, respectively (see Eq. (3)). Panel (b), plot of the midplane gas temperature, T_gas, 0. The vertical dashed line in all panels denotes the corotation radius, R_cor, and the gray area marks the optically thin region in the inner disk.