The flow field induced by two point vortices of strength Γ \Gamma at a distance 2 h 2h apart in a quiescent field with lower stagnation pressure is investigated. The flow field around the vortices is bounded by a free streamline with constant velocity U U determined by the difference in the stagnation pressures. For the parameter Λ = 2 π h U / Γ > 1 \Lambda = 2\pi hU/\Gamma > 1 , the flow field around each vortex is isolated from the other and is bounded by a circular free streamline of radius Γ / ( 2 π U ) \Gamma /\left ( {2\pi U} \right ) . When Λ = 1 \Lambda = 1 , the two circular free streamlines just touch each other. When Λ > 1 \Lambda > 1 the two flows merge and they are enclosed inside a single convex free streamline. Analytical solutions are presented for the merged flow field and the free streamline for the entire range of the parameter Λ \Lambda .