INSTABILITY OF THE FLOW IN A PLANE CHANNEL WITH COMPLIANT WALLS OF FINITE THICKNESS

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The model of the stability of viscous incompressible flow in a channel with thick compliant walls is developed and studied under the assumption of the disturbance smallness. The eigenvalue problem thus obtained is solved numerically using the collocation method. The calculations 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.

作者简介

A. Boiko

Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences

Novosibirsk, Russia

E. Golub

Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences; Institute of Hydrodynamics of the Siberian Branch of the Russian Academy of Sciences

Email: e.golub@g.nsu.ru
Novosibirsk, Russia; Novosibirsk, Russia

A. Chupakhin

Institute of Hydrodynamics of the Siberian Branch of the Russian Academy of Sciences

Novosibirsk, Russia

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