The axisymmetric laminar jet in an infinite stream

The analysis for the flow obtained when an axisymmetrical jet of incompressible fluid discharges into a uniform stream is presented. A solution of the boundary layer equations for the velocity distribution is given in terms of joined coordinate expansions. Some constants appearing is the expansion derived for large values of the coordinate, can be determined from the joining process. This is so because these constants depend on the upstream velocity profile and would otherwise remain unknown. An expansion of the same form will apply to the small deficit axisymmetric wake. Each of the expansions presented is entirely self-consistent to the order considered.