This article is cited in 2 papers

Axisymmetric instability of pressure-driven flow in an annular channel at high Reynolds numbers

I. V. Savenkov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

Abstract: For the pressure-driven flow in an annular channel, its linear instability with respect to axisymmetric perturbations at high Reynolds numbers is investigated within the framework of the triple-deck theory. It is shown that the problem is reduced to that of the two-dimensional linear instability of the Poiseuille flow in a plane channel. The ratio of the inner to outer radii of the channel is found at which the instability is minimal.

Key words: annular channel flow, instability, Tollmien–Schlichting waves, axisymmetric perturbations, wave packets, asymptotic expansions, triple-deck theory, Navier–Stokes equations.

UDC: 519.634

Received: 18.02.2013

DOI: 10.7868/S004446691310013X

 English version: Computational Mathematics and Mathematical Physics, 2013, 53:10, 1551–1557

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