Exact Solutions to the Steady Navier–Stokes Equations of Viscous Heat-Conducting Gas Flow Induced by the Plane Jet Issuing from the Line Source

Abstract

The plane stationary flow of viscous gas is considered, which is induced by the jet impacting the unbounded space and the domain between two diverging flat walls. Existence criteria of the Landau self-similar solutions are established for the source of gas flowing from the apex of a wedge with the thermally insulated walls and of wedge with the prescribed walls temperature. The analytical solutions are constructed in the case when the gas temperature is constant along the lines of flow and when the transfer coefficients are power functions of temperature.