Tertiary and Quaternary States in the Taylor-Couette System

Abstract

The analysis of the Taylor-Couette problem in the small gap limit is extended to the cases of tertiary and quaternary solutions. The theoretical results are compared with experimental observations. Although in the latter the small-gap approximation is not always well approximated, the comparison of theoretical results and observations yields reasonable agreements. The absence of the wavy twist mode in the observed patterns is explained by the presence of no-slip boundary conditions in the axial direction of the experimental apparatus, which differ from the periodic conditions imposed in the theoretical analysis. Quaternary solutions bifurcating from the tertiary ones through subharmonic instabilities are presented and compared with experimental observations. Reasonable agreement has been found.

Publication DOI: https://doi.org/10.1016/j.chaos.2018.01.033
Divisions: College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: © 2018, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Funding: Marie Curie IIF (Grant no. 298891) from the European Union and by the Leverhulme Trust (Grant no. VP1-2012-017)
Uncontrolled Keywords: Bifurcation theory,nonlinearity,Floquet parameters, stability
Publication ISSN: 0960-0779
Last Modified: 17 Jun 2024 07:30
Date Deposited: 27 Feb 2018 09:55
Full Text Link:
Related URLs: http://linkingh ... 96007791830033X (Publisher URL)
PURE Output Type: Article
Published Date: 2018-04-01
Published Online Date: 2018-02-23
Accepted Date: 2018-01-23
Authors: Akinaga, T.
Generalis, S.c. (ORCID Profile 0000-0001-7660-0633)
Busse, F.h.

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