  In this paper, we study irrotational subsonic and subsonic-sonic flows with
general conservative forces in the exterior domains. The conservative forces
indicate the new Bernoulli law naturally. For the subsonic case, we introduce a
modified cut-off system depending on the conservative forces which needs the
varied Bers skill, and construct the solution by the new variational formula.
Moreover, comparing with previous results, our result extends the
pressure-density relation to the general case. Afterwards we obtain the
subsonic-sonic limit solution by taking the extract subsonic solutions as the
approximate sequences.
