This article is cited in 3 papers

Axisymmetric instability of the Poiseuille–Couette flow between concentric cylinders 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 with a wall moving in the axial direction, its linear instability with respect to axisymmetric perturbations at high Reynolds numbers is investigated within the framework of the triple-deck theory. When the gap between the cylinders is sufficiently small (as compared to the radii of the cylinders), it is shown that the perturbations can split into two wave packets, the first of which grows faster and moves at a higher velocity.

Key words: Poiseuille–Couette flow, concentric cylinders, instability, Tollmien–Schlichting waves, axisymmetric perturbations, wave packets, asymptotic expansions, triple-deck theory, Navier–Stokes equations, high Reynolds numbers.

UDC: 519.634

Received: 28.05.2014
Revised: 05.08.2014

DOI: 10.7868/S0044466915020179

 English version: Computational Mathematics and Mathematical Physics, 2015, 55:2, 291–297

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