We present a first attempt to construct an analytic model for a clumped gas
and dust disk and apply it to the Galactic Centre. The clumps are describe
d as isothermal spheres partially ionized by the external UV radiation fiel
d. The disk structure formed by the clouds is described as a quasi standard
continuous accretion disk using adequately averaged parameters of the disc
rete cloud model. The viscosity in the Circumnuclear Disk is due to partial
ly inelastic cloud-cloud collisions. We find two different solutions for th
e set of equations corresponding to two stable cloud regimes: (i) the obser
ved molecular clouds and (ii) much lighter and smaller clouds which corresp
ond to the stripped cores of the observed clouds. It is shown that the resu
lting physical characteristics of the heavy clouds and the disk are in very
good agreement with all comparable observations at multiple wavelengths. A
mass accretion rate of M similar or equal to 10(-4) M-circle dot yr(-1) fo
r the isolated Circumnuclear Disk is inferred. We propose that the Circumnu
clear Disk has: a much longer lifetime (similar to 10(7) yr) than previousl
y assumed.