Families of subcritical spirals in highly counter-rotating Taylor-Couette flow

Alvaro Meseguer, Fernando Mellibovsky, Marc Avila, and Francisco Marques
Phys. Rev. E 79, 036309 – Published 20 March 2009

Abstract

A comprehensive numerical exploration of secondary finite-amplitude solutions in small-gap Taylor-Couette flow for high counter-rotating Reynolds numbers is provided, using Newton-Krylov methods embedded within arclength continuation schemes. Two different families of rotating waves have been identified: short axial wavelength subcritical spirals ascribed to centrifugal mechanisms and large axial scale supercritical spirals and ribbons associated with shear dynamics in the outer linearly stable radial region. This study is a first step taken in order to provide the inner structure of the skeleton of equilibria that may be responsible for the intermittent regime usually termed as spiral turbulence that has been reported by many experimentalists in the past.

    • Received 21 November 2008

    DOI:https://doi.org/10.1103/PhysRevE.79.036309

    ©2009 American Physical Society

    Authors & Affiliations

    Alvaro Meseguer1,*, Fernando Mellibovsky1, Marc Avila2, and Francisco Marques1

    • 1Departament de Física Aplicada, Universitat Politècnica de Catalunya, 08034 Barcelona, Spain
    • 2Max-Planck Institute for Dynamics and Self-Organization, 37073 Göttingen, Germany

    • *alvar@fa.upc.es

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    Issue

    Vol. 79, Iss. 3 — March 2009

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