Pattern Competition for the Sequential Bifurcations Approach (SBA) to Turbulence in the Co-Rotating Taylor–Couette System: Quinary States


In this study systematic numerical analyses are outlined searching for additional instabilities in the co-rotating Taylor–Couette system within the fully deterministic sequential approach of bifurcations (SBA) to turbulence. The main idea of the search strategy is the application of a forcing function, rotation, which has a direct physical interpretation, and that was realized in prior experimental work. The forcing induces disturbances that lead to bifurcations of new states. Thus, turbulence can be generated and observed in a rotating fluid without the imposing additional forcing sources. The imposition of thermoconvective forcing in the Taylor–Couette system will be discussed separately. Important findings include the discovery of the interplay of new and already known states, the transition of steady states to oscillatory ones and higher order states in the SBA via vortex merger/separation and re- allocation of symmetries for a more intensified mass transport. The results of the present work enhance the results of [1]. They will be revisited within an internal length gradient (ILG) framework accounting for weekly nonlocal effects as suggested in the concluding section of the paper.

Publication DOI:
Divisions: College of Engineering & Physical Sciences
College of Engineering & Physical Sciences > School of Computer Science and Digital Technologies > Applied Mathematics & Data Science
College of Engineering & Physical Sciences > School of Computer Science and Digital Technologies
Additional Information: Copyright © Springer Nature B.V. 2023. The final publication is available at Springer via
Uncontrolled Keywords: Floquet parameters,Taylor–Couette flow,bifurcation theory,incompressible flow,stability theory,strongly nonlinear solution,turbulence,Mathematics(all)
Publication ISSN: 1818-9962
Last Modified: 14 Jun 2024 07:29
Date Deposited: 15 Jun 2023 14:18
Full Text Link:
Related URLs: https://link.sp ... 995080223060045 (Publisher URL)
http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2023-10-05
Accepted Date: 2023-05-14
Authors: Akinaga, Takeshi
Generalis, Sotos (ORCID Profile 0000-0001-7660-0633)
Aifantis, Elias C



Version: Accepted Version

Access Restriction: Restricted to Repository staff only until 3 October 2024.

Export / Share Citation


Additional statistics for this record