Winds and outflows form in active galaxies and in binary systems which are
known to harbour compact objects such as black holes. Matter starting subso
nically from a disc must be accelerated very close to the black hole in ord
er to reach a velocity comparable to the velocity of light, which is actual
ly observed. In the absence of magnetic fields, winds forming in inner regi
ons of accretion discs could primarily be accelerated by radiations emitted
from this region where centrifugal force is important. We study critical p
oint behaviour of outflows in presence of this radiative acceleration. We s
how that the momentum deposition term changes the character of the solution
drastically depending on the magnitude and the location of the deposition.
We discuss the implications of these solutions in detail. Particularly imp
ortant is the fact that matter were found to be pushed to infinity even whe
n they were originally bound energetically. We perform numerical simulation
s by smoothed particle hydrodynamics (SPH), and show that these new solutio
ns are stable.