We study the effect of nuclear reaction on a thin, axisymmetric, differenti
ally rotating, inviscid, steady accretion flow around a black hole from an
analytical point of view. We find that, for most of the reasonable disk par
ameters, when the p-p reaction and the dissociation of deuterium and of hel
ium are taken into account, the transonic region of the disk continues to h
ave the inner sonic point and, if the temperature of the flow at the inject
ion point could be raised (by some heating processes), the flow would have
to pass through this inner sonic point. Otherwise, the flow may be unstable
. We use the sonic-point analysis to study the solution. In the rest of the
disk parameters the inner sonic point is absent altogether, and the flow w
ill definitely be unstable.