Laminar swirling jet with allowance for buoyancy forces

There have been many investigations into swirling immersed viscous jets, and fairly detailed analyses of these studies have been given in monographs [1–3]. Nevertheless, swirling jets with free convection have not been studied. In the present paper, exact and approximate self-similar solutions are found for the problem of a swirling jet produced by a source of viscous fluid propagating vertically upward (or downward) under the influence of Archimedean forces and an initial thrust.