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.