The influences of outflow on the dynamics of inflow

Both numerical simulations and observations indicate that in an advection-dominated accretion flow most of the accretion material supplied at the outer boundary will not reach the inner boundary. Rather, it is lost via outflow. Previously, the influence of outflow on the dynamics of inflow had been taken into account only by adopting a radius-dependent mass accretion rate M = M-0 (r/r(out))(s) with s > 0. In this paper, based on a one-and-a-half-dimensional description of the accretion flow, we investigate this problem in more detail by considering the interchange of mass, radial and azimuthal momentum, and the energy between the outflow and inflow. The physical quantities of the outflow are parameterized based on our current understandings of the properties of outflow mainly from numerical simulations of accretion flows. Our results indicate that under reasonable assumptions about the properties of outflow, the main influence of outflow has been properly included by adopting. M = M-0(r/r(out))(s).