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Linear instability of viscoelastic pipe flow

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Article Mechanics

Linear instability of viscoelastic pipe flow

Indresh Chaudhary et al.

Summary: A modal stability analysis reveals that pressure-driven pipe flow of an Oldroyd-B fluid is linearly unstable to axisymmetric perturbations, in contrast to Newtonian fluids. The critical Reynolds number for instability diverges in certain asymptotic limits, with the unstable mode localized near the centerline. The study suggests that this linear instability may play a significant role in the onset of turbulence in viscoelastic pipe flows, challenging the prevailing notion of linear stability in such flow conditions.

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