On superposable flows

Abstract

In the first section of the present paper we obtain the condition of superposability working through vectors and in particular give explicity the condition of superposability of axi-symmetrical flows. This enables us to make some general remarks on the possibility of superposition of two axi-symmetrical flows. The rest of the paper is devoted to the consideration of the possibility of superposition of general rotational flow on the flows due to a vortex, spiral-vortex and vortex-doublet and of irrotational flow on a radial flow in two-dimensions. In case of the flow due to a vortex, we find that a family of rotational flows of which the isocurls are concentric circles is superposable on it. In the case of the remaining three flows we find that the contemplated types of flows do not exist.