arXiv2000
Ten years have passed since the global solutions of advective accretion disks around black holes and neutron stars were first discovered. Since then they are enjoying support from observers almost on a daily basis, more so in recent days with the launching of very high resolution satellites. This review presents the development of the subject of advective accretion in last twenty five years leading to the global solutions and their applications. It also shows that apart from the standard Keplerian disk features in most part of the accretion flow, future models must incorporate the essential features of the advective disks, such as the advection of energy and entropy by the flow, centrifugal barrier supported boundary layer of a black hole, steady and non-steady shocks, the bulk motion Comptonization of matter close to the black hole, outflows from the centrifugal barrier etc. Since black holes are `black', methods of their identification must be indirect, and therefore, the solutions must be known very accurately. On the horizon, matter moves supersonically, but just before that it is subsonic due to centrifugal pressure dominated boundary layer or CENBOL where much of the infall energy is released and outflows are generated. In this review, we show that advective flow models treat accretion and winds onto black holes and neutron stars in the same footing. Similarly treated are the steady and time-dependent behaviour of the boundary layers of neutron stars and the black holes!