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We provide a 2.5-dimensional solution to a complete set of viscoushydrodynamical equations describing accretion-induced outflow and thenplausible jet around black holes/compact objects. We prescribe aself-consistent advective disk-outflow coupling model, which explicitlyincludes the information of vertical flux. Inter-connecting dynamics ofinflow-outflow system essentially upholds the conservation laws. We provide aset of analytical family of solutions through the self-similar approach. Theflow parameters of the disk-outflow system depend strongly on viscosityparameter \alpha and cooling factor f.

2.5-dimensional solution of the advective accretion disk: A self-similar approach