The first instability in spherical Taylor-Couette flow

@inproceedings{Schrauf2004TheFI,
  title={The first instability in spherical Taylor-Couette flow},
  author={Gustavo E. Schrauf},
  year={2004}
}
In this paper continuation methods are applied to the axisymmetric Navier-Stokes equations in order to investigate how the stability of spherical Couette flow depends on the gap size 0'. We find that the flow loses its stability due to symmetry-breaking bifurcations and exhibits a transition with hysteresis into a flow with one pair of Taylor vortices if the gap size is sufficiently small, i.e. if u ~ uB. In wider gaps, i.e. for CTB < u ~ CTF, both flows, the spherical Couette flow and the flow… CONTINUE READING
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