The problem of the steady plane-parallel flow of an ideal incompressible fluid around a point jet source, i.e., a source from which a fluid with the parameters (density and total pressure) different from the respective free-flow parameters is blown in the presence of a dead zone near the flow separation point, has been solved. The necessity of solving this problem arises in connection with the study of jet collision problems. The solution to similar problems for the case in which the parameters of the fluids in the jet and free flow are the same can be found in [1, 2], If the parameters of the jets are different, the solution of the problem is complicated, because the complex potential function has a discontinuity at the interface between the media and a rather complex iteration process is necessary for determining this interface. The authors of [3] analyzed the problem of the collision of jets that have different Bernoulli constants and flow around a wedge with angle an, but the case of a = 1 was excluded from the analysis, because an essential singularity arises near the flow separation point. In this case, in view of the equality condition for pressures, the angle internal to one of the jets vanishes; i.e., a return-type singular point appears at the boundary of this jet.
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