One selfmodelling solution of a problem on- a planar laminar jet

The problem of the flow of a laminar jet which does not mix with the fluid surrounding it is treated in the boundary-layer approximation. It is assumed that both fluids are incompressible, that their surface of separation is smooth and that the jet does not break up. A selfmodelling solution (in Mieses variables) of the planar problem is obtained for the special case when the viscosities of the fluids are inversely proportional to their densities. This problem has been treated previously in the case of a planar /1, 2/ and axially symmetric /3-7/ jet using different versions of the integral method /1, 3, 5, 7/ and also using an asymptotic method /2, 4, 6/ which yields the solution at large distances from the source.