Analytic expression for Taylor-Couette stability boundary

Details Analytic expression for Taylor-Couette stability boundary Analytic expression for Taylor-Couette stability boundary

1995-09-21

arxiv.org/abs/cond-mat/9509136v3

Physics

Condensed Matter

6 pages (LaTeX with REVTEX) including 4 figures (Postscript) Revised, discussion of two additional references. See also http

Scientific paper

10.1063/1.868963

We analyze the mechanism that determines the boundary of stability in Taylor-Couette flow. By simple physical argument we derive an analytic expression to approximate the stability line for all radius ratios and all speed ratios, for co- and counterrotating cylinders. The expression includes viscosity and so generalizes Rayleigh's criterion. We achieve agreement with linear stability theory and with experiments in the whole parameter space. Explicit formulae are given for limiting cases.

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