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.

The Stability of Viscous Flow Between Rotating Cylinders in the Presence of Radial Temperature Gradient
The Stability of Viscous Flow Between Rotating Cylinders in the Presence of Radial Temperature Gradient

Author: Paul Lieber

Publisher:

Published: 1963

Total Pages: 64

ISBN-13:

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The differential equations for small perturbations of the basic viscous and heat flows in the problem indicated are derived, and the critical conditions are obtained for a number of cases, each treated in a separate section. The results obtained elucidate the physical equivalence of the viscous and thermal causes of instability and establish the effect of their interaction on instability in terms of an interaction parameter. It is thus found that transitions, which can be individually produced by separately applying velocity or temperature gradients, are strongly conditioned by the interaction of these gradients when applied simultaneously. (Author).