Instability of the Flow in a Plane Channel with Compliant Walls of Finite Thickness

Instability of the Flow in a Plane Channel with Compliant Walls of Finite Thickness Full article

Journal

Fluid Dynamics
ISSN: 0015-4628

Output data

Year: 2025, Volume: 60, Number: 2, Article number : 31, Pages count : DOI: 10.1134/s0015462824605631

Tags

Poiseuille flow, compliant coatings, viscoelasticity, hydrodynamic instability

Authors

Boiko A.V. ¹ , Golub E.S. ^1,2 , Chupakhin A.P. ²

Affiliations

1	Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090 Russia
2	Institute of Hydrodynamics of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090 Russia

The model of the stability of viscous incompressible flow in a channel with thick compliant walls is developed and studied under the assumption of small disturbances. The eigenvalue problem thus obtained is solved numerically using the collocation method. The computations are carried out for several viscoelastic materials. Some new results concerning the effect of the wall thickness and the characteristic flow velocity on the flow stability are obtained. The effect of viscoelastic properties of the channel wall material on the suppression of the Tollmien–Schlichting instability is estimated.

Boiko A.V. , Golub E.S. , Chupakhin A.P.
Instability of the Flow in a Plane Channel with Compliant Walls of Finite Thickness
Fluid Dynamics. 2025. V.60. N2. 31 . DOI: 10.1134/s0015462824605631 Scopus OpenAlex

Submitted:	Dec 16, 2024
Accepted:	Dec 22, 2024
Published print:	Jul 30, 2025

Scopus:	2-s2.0-105012189901
OpenAlex:	W4412743741

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