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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2014 Volume 55, Issue 3, Pages 56–65 (Mi pmtf1063)

This article is cited in 1 paper

Occurrence of quasiperiodic flows between two rotating permeable cylinders

V. V. Kolesov, M. N. Romanov

Federal University, Rostov-on-Don, 344090, Russia

Abstract: This paper considers viscous incompressible fluid flows between two infinite rotating permeable concentric cylinders near the bifurcation point, which result in secondary steady flow and oscillations with azimuthal waves. Steady periodic and quasiperiodic fluid flow regimes with two, three, and four independent frequencies are obtained by methods of the theory of codimension-two bifurcations of hydrodynamic flows having cylindrical symmetry.

Keywords: permeable cylinders, secondary steady flow, azimuthal waves, bifurcations, amplitude system, limit cycles, quasiperiodic flows.

UDC: 532.516

Received: 30.04.2013


 English version:
Journal of Applied Mechanics and Technical Physics, 2014, 55:3, 421–429

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