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Steady axisymmetric flows are studied in a wide gap between concentric rotating cylinders with periodic boundary conditions. The Navier-Stokes equations describing such flows are discretised by Fourier decomposition in the axial direction and centred finite differences in the radial direction. The numerical continuation and bifurcation methods of H.B.Keller are used, as the period or the Reynolds number are continuously varied. When the Reynolds Number is fixed well above critical and the period varies, nested families of isolas (closed loops of solution branches) are found. A single isola is formed by interaction of secondary branches belonging to three different double eigenvalues. New flow patterns are found, some of which have a separatrix.

Additional information

Authors: SPECHT H, Freie Universität, Institut für Mathematik III, Berlin (DE);WAGNER M, Freie Universität, Institut für Mathematik III, Berlin (DE);MEYER-SPASCHE R, Max-Planck-Institut für Plasmaphysik, Garching bei München (DE)
Bibliographic Reference: Article: ZAMM, Vol. 69 (1989) No. 10, pp. 339-352
Record Number: 199011458 / Last updated on: 1994-12-02
Original language: en
Available languages: en