  We present a series of numerical solutions of spherically symmetric
stationary flows with nuclear burning accreted by a neutron star (or black
hole). We consider the accretion of matter composed of carbon and oxygen, which
mimics the flow after a neutron star is engulfed by a CO star or CO core of a
massive star. It is found that there are two types of transonic solutions
depending on the accretion rate. The flow with a small accretion rate reaches
the center (or the surface of the central object) at supersonic speeds. The
other type with a large accretion rate has another sonic point inside the
transonic point and the flow truncates at the sonic point. The critical
accretion rate dividing these two types is derived as a function of the mass of
the central object and the specific enthalpy in the ambient matter. We discuss
implications from the solutions for a new mechanism of super-Chandrasekhar type
Ia supernovae and type Icn supernovae.
