  This paper deals with the viscous accretion flow of modified Chaplygin gas
towards a black hole as the central gravitating object. Modified Chaplygin gas
is a particular type of dark energy model which mimics of radiation era to
phantom era depending on the different values of its parameters. We compare the
drak energy accretion with the flow of adiabatic gas. An accretion disc flow
around a black hole is an example of a transonic flow. To make the model, we
consider three components of Navier Stokes' equation, the equation of
continuity and the modified Chaplygin gas's equation of state. As a transonic
flow passes through the sonic point, the velocity gradient being apparently
singular there, gives rise to two flow branches : one infalling, the accretion
and the other outgoing, the wind. We show that the wind curve is stronger and
wind speed reaches to that of light at a finite distance from the black hole
when dark energy is considered. Besides, if we increase the viscosity,
accretion disc is being shortened. This two process acting together deviates
much from adiabatic accretion case. It shows a weakening process for the
accretion procedure by the works of viscous system influenced angular momentum
transport and the repulsive force of the modified Chaplygin gas together.
