Experiments on the Stability of Viscous Flow Between Rotating Cylinders. Vi. Finite-amplitude Experiments
Experiments on the Stability of Viscous Flow Between Rotating Cylinders. Vi. Finite-amplitude Experiments

Author: R. J. DONNELLY

Publisher:

Published: 1964

Total Pages: 26

ISBN-13:

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The ion technique is applied to a variety of experiments in Couette flow: determination of the critical Taylor number; determination of wavenumber and waveform of the vortices; establishment of the laws that the square of the amplitude and the amplification factor both vary as the difference between the Taylor number and the critical Taylor number; and finally certain studies ofte growth and decay of vortices as the Taylor number is changed. The experimental data are compared with the results of integration of the exact equations for the linear stability problem by means of a high-speed computer. These theoretical values were obtained by P.H. Roberts and are presented in an appendix to this paper. (Author).

Experiments on the Stability of Viscous Flow Between Rotating Cylinders. Iv. the Ion Technique
Experiments on the Stability of Viscous Flow Between Rotating Cylinders. Iv. the Ion Technique

Author: R. J. DONNELLY

Publisher:

Published: 1964

Total Pages: 12

ISBN-13:

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The development of an instrument which responds to the radial component of a Taylor vortex is described. The method is to measure the current passing through the vortex in a fluid of low conductivity, such as carbon tetrachloride. Experiments, performed to check the usefulness of the technique are reported. (Author).

Experiments on the Stability of Viscous Flow Between Rotating Cylinders. V. the Theory of the Ion Technique
Experiments on the Stability of Viscous Flow Between Rotating Cylinders. V. the Theory of the Ion Technique

Author: R. J. Donnelly

Publisher:

Published: 1964

Total Pages: 12

ISBN-13:

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The theory underlying the ion technique described in part IV (AD-613 384) of this series is developed: the equations are written down and solved under certain simplifying assumptions which appear physically reasonable. The results explain observations made in part IV by showing, in particular, that the current changes are linearly proportional to the radial component of the perturbations on the flow. (Author).

On the Stability of Viscous Flow Between Rotating Cylinders
On the Stability of Viscous Flow Between Rotating Cylinders

Author: Lionel Rintel

Publisher:

Published: 1963

Total Pages: 13

ISBN-13:

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Previous results are modified to give an approximate representation of the stability conditions without restricting the gap size. It is found that results based on the proposed principle of averaging are in good agreement with results obtained by much more elaborate calculations. This agreement justifies the extrapolation of the obtained results for the case of infinite gap. (Author).

On the Stability of Viscous Flow Between Rotating Cylinders
On the Stability of Viscous Flow Between Rotating Cylinders

Author: Lionel Rintel

Publisher:

Published: 1963

Total Pages: 0

ISBN-13:

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Previous results are modified to give an approximate representation of the stability conditions without restricting the gap size. It is found that results based on the proposed principle of averaging are in good agreement with results obtained by much more elaborate calculations. This agreement justifies the extrapolation of the obtained results for the case of infinite gap. (Author).

On the Stability of Spiral Flow Between Rotating Cylinders
On the Stability of Spiral Flow Between Rotating Cylinders

Author: E. R. Krueger

Publisher:

Published: 1963

Total Pages: 33

ISBN-13:

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The stability of a viscous fluid between two concentric rotating cylinders with an axial flow is investigated. Two methods of solution are employed to study this problem, when both cylinders are rotating in the same direction and when the gap between the cylinders is small. Results are given for small amounts of axial flow which indicate that the critical Taylor number increases with increasing amounts of axial flow. The results are compared with previous experimental and theoretical results. The problem when both cylinders are rotating in opposite directions is studied in the small gap case and results are obtained for small amounts of axial flow. These results indicate that the Taylor number increases with increasing amounts of axial flow. (Author).