This article is cited in 3 papers

Three-dimensional instability of flow in a flat channel between elastic plates

I. V. Savenkov

Dorodnicyn Computing Center, Russian Academy of Sciences, Moscow, Russia

Abstract: The three-dimensional instability of the viscous incompressible flow induced by a pressure gradient between two elastic parallel plates is studied. The triple-deck theory is used to show that the elasticity of the walls has a stabilizing effect on the flow.

Key words: plane channel flow, three-dimensional instability, Tollmien–Schlichting waves, asymptotic expansions, triple-deck theory, elastic walls, boundary layer equations.

UDC: 519.634

Received: 16.01.2012

 English version: Computational Mathematics and Mathematical Physics, 2012, 52:10, 1445–1451

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