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This research aims to explore the instability of Poiseuille flow in flat channels with compliant walls under high Reynolds number conditions.

Inviscid Instability of Poiseuille Flow in a Flat Channel with Compliant Walls

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Randomized trial examines instability in Poiseuille flow with compliant walls, suggesting significant impacts from wall properties.

This research aims to explore the instability of Poiseuille flow in flat channels with compliant walls under high Reynolds number conditions.
Analyzed the instability of Poiseuille flow considering compliant walls without damping.
Utilized asymptotic theory to examine inviscid perturbations.
Focused on parameters such as wall elasticity, longitudinal tension, and bending stiffness.
Identified that unstable inviscid perturbations arise only when wall inertia is considered.
Demonstrated that a range of wave numbers leads to instability regardless of wall parameters.
Found that maximum growth rates of perturbations increase with wall elasticity, tension, and stiffness.

I. V. Savenkov (2026) studied this question.

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