The Effect of Radius Ratio on the Stability of Couette Flow and Taylor Vortex Flow,
RENSSELAER POLYTECHNIC INST TROY NY DEPT OF MATHEMATICAL SCIENCES
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The effect of radius ratio on the ability of Couette flow to axisymmetric and nonaxisymmetric disturbances and the stability of Taylor vortex flow to nonaxisymmetric disturbances is considered. It is assumed that the outer cylinder is at rest. As the ratio eta of the radius of the inner cylinder to the radius of the outer cylinder is decreased, it is found that the number of unstable normal modes for Couette flow at a fixed Taylor number decreases rapidly, and there is a critical value of eta equal to about 0.65, below which there is no instability of the Taylor vortex flow for the range of Taylor numbers considered here. Recent experimental observations are summarized. Additional keywords charts, reprints. Author.
- Fluid Mechanics