We report on a scheme for incorporating vertical radiative energy transport into a fully relativistic , Kerr-metric model of optically thick , advective , transonic alpha disks .
Our code couples the radial and vertical equations of the accretion disk .
The flux was computed in the diffusion approximation , and convection is included in the mixing-length approximation .
We present the detailed structure of this ‘ ‘ two-dimensional ’ ’ slim-disk model for \alpha = 0.01 .
We then calculated the emergent spectra integrated over the disk surface .
The values of surface density , radial velocity , and the photospheric height for these models differ by 20 % -30 % from those obtained in the polytropic , height-averaged slim disk model considered previously .
However , the emission profiles and the resulting spectra are quite similar for both types of models .
The effective optical depth of the slim disk becomes lower than unity for high values of the alpha parameter and for high accretion rates .