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).


Two-Fluid Couette Flow Between Concentric Cylinders

Two-Fluid Couette Flow Between Concentric Cylinders

Author: Y. Renardy

Publisher:

Published: 1984

Total Pages: 29

ISBN-13:

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This document considers the flow of two immiscible fluids lying between concentric cylinders when the outer cylinder is fixed and the inner one rotates. The interface is assumed to be concentric with the cylinders and gravitational effects are neglected. The authors present a numerical study of the effect of different viscosities, different densities and surface tension on the linear stability of the Couette flow. Their results indicate that with surface tension, a thin layer of the less viscous fluid next to either cylinder is linearly stable and that it is possible to have stability with the less dense fluid lying outside. The stable configuration with the less viscous fluid next to the inner cylinder is more stable than the one with the less viscous fluid next to the outer cylinder. The onset of Taylor instability for one-fluid flow may be delayed by the addition of a thin layer of less viscous fluid on the inner wall and promoted by a layer of more viscous fluid on the inner wall. (Author).