Abstract
A particular feature of swirling flows with a strong core vorticity is the phenomenon of vortex breakdown. For vortices with an appreciable axial velocity component, [Hall (1972)] defines vortex breakdown as, “an abrupt change in the “vortex” structure with a very pronounced retardation of the flow along the axis”. One factor that is known to influence vortex breakdown, reviewed by [Leibovich (1984)], is the role of instability. This was also recognised by [Ash and Khorrami (1995)], who describe a possible mechanism of breakdown as, ‘a final outcome of vortex instability, with the caveat that vortex breakdown can also be produced by external means’. External influences might include pressure gradients. Consequently, the aim of the current research is to demonstrate the relationship between instability and spiral-type breakdown of a Batchelor vortex, and to assess the influence of pressure gradients on vortex stability using the parabolised stability equations.
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