Axial effects in the Taylor—Couette problem: Spiral—Couette and Spiral—Poiseuille flows
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A comprehensive study of the linear stability of the Taylor-Couette problem with imposed axial effects is examined. The study will be focused on two different flows: Spiral Couette (SCF) and Spiral Poiseuille (SPF) flows. In SCF flow, the axial effect is introduced by an inertial axial sliding mechanism between the cylinders. In the SPF, the axial effect is introduced via an imposed axial pressure gradient. For both problems, a wide range of parameters has been explored. In both systems, zeroth order discontinuities are found in the critical stability surface; they are explained as a result of the competition between the centrifugal and shear instability mechanisms, which appears only in the co-rotating case, close to the rigid body rotation region. In both problems, good agreement with the experimental results has been obtained.
KeywordsLinear Stability Linear Stability Analysis Critical Surface Critical Curve Neutral Stability Curve
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