This article is cited in 6 papers

Features of the linear stage of development of 3D wave packets in a plane Poiseuille flow

I. V. Savenkov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

Abstract: In the framework of the asymptotic theory of free interaction, the linear stage of the development of 3D wave packets in a plane Poiseuille flow is studied. Numerical results show the presence of “ripples” in the lateral direction in the first phase of the linear stage. The disturbances propagate within a certain angle.

Key words: plane Poiseuille flow, Tollmien–Schlichting waves, three-dimensional disturbances, wave packets, asymptotic expansions, free interaction theory, Navier–Stokes equations.

UDC: 519.634

Received: 17.11.2008

 English version: Computational Mathematics and Mathematical Physics, 2009, 49:7, 1212–1220

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