Abstract

Abstract This paper is on the propagation of disturbances causing transition in a fully developed spiral annular flow. The problem is approached through reformulation of the linearised equations of motion in an alternative parameter space comprising a suitably defined Reynolds number, a swirl parameter and the ratio of the annular gap to the mean diameter of the cylinders. In the limits of the swirl parameter assuming values close to 0 or ∞ , the newly derived generalised Orr–Sommerfeld and Squire equations for disturbance propagation in the revised parameter space reduce to the corresponding equations for the limiting cases of disturbance propagation as the swirl parameter goes to 0 or ∞ respectively, known from literature. The equations lead to the analytical expression for the location of the critical layer in spiral annular flow and to the equation governing the flow dynamics in the critical layer, thus revealing the effect of swirl on the critical layer.

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