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).

The Stability of Viscous Flow Between Rotating Cylinders in the Presence of a Strong Axial Magnetic Field
The Stability of Viscous Flow Between Rotating Cylinders in the Presence of a Strong Axial Magnetic Field

Author: William Hill Reid

Publisher:

Published: 1961

Total Pages: 1

ISBN-13:

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The problem of the stability of viscous flow between rotating cylinders in the presence of an axial magnetic field is discussed within the framework of the small-gap approximation, i.e. it is assumed that d equals R2 -R1 and R2-R1 is very much smaller than 1/2(R1 + R2). The nature of the problem is shown to depend very markedly on whether the cylinders rotate in the same or in opposite directions, and the various approximations applicable to these two cases are discussed. Special attention is given to the limiting case of a strong field as omega-2/omega-1 approaches minus infinity. (Author).

Stability of Viscous Flow in Rotating Cylinders with Magnetic Field
Stability of Viscous Flow in Rotating Cylinders with Magnetic Field

Author: Jitender Singh

Publisher: LAP Lambert Academic Publishing

Published: 2010-07

Total Pages: 116

ISBN-13: 9783838384696

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In this thesis, we have discussed numerically, the stability of an incompressible flow of a ferrofluid in an annular space between two coaxial rotating cylinders of infinite aspect ratio, in the presence of an axial magnetic field. The system is described by modified Navier-Stokes equation, equation of continuity, Maxwell-equations, and Shliomis s equation of ferrofluid magnetization. The mathematical model of the physical system, leads to a two-point boundary value problem that has been solved with help of numerical methods. The onset of axisymmetric and non-axisymmetric Taylor vortices, has been discussed. Effect of superposition of radial flow has also been discussed. Also considered is the parametric instability arising as a result of applying periodically oscillating magnetic field to the system.