The Mathematical Institute, University of Oxford, Eprints Archive

Nonnormal energy transient growth in the Taylor-Couette problem

Meseguer, A. (2001) Nonnormal energy transient growth in the Taylor-Couette problem. Technical Report. Unspecified. (Submitted)

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Abstract

This work is devoted to the study of transient growth of perturbations in the Taylor-Couette problem due to nonnormal mechanisms. The study is carried out for a particular small gap case and is mostly focused on the linearly stable regime of counter-rotation. The exploration covers a wide range of inner and outer angular speeds as well as axial and azimuthal modes. Clear evidence of transient growth is found as long as the counter-rotation is increased. The numerical results are in agreement with former analyses based on energy methods. Similarities with transient growth mechanisms in plane Couette flow and in Hagen-Poiseuille flow are found. This is reflected in the modulation of the basic circular Couette flow by the presence of azimuthal streaks as a result of the nonmodal growth of initial axisymmetric perturbations. This study might shed some light on the subcritical transition to turbulence which is found experimentally in Taylor-Couette flow when the cylinders rotate in opposite directions.

This work was supported by UK Engineering and Physical Sciences Research Council Grant GR/M30890.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1239
Deposited By:Lotti Ekert
Deposited On:20 May 2011 09:19
Last Modified:20 May 2011 09:19

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