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 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 Flow of a Non-Newtonian Liquid Between Two Rotating Cylinders in the Presence of a Circular Magnetic Field
Stability of Flow of a Non-Newtonian Liquid Between Two Rotating Cylinders in the Presence of a Circular Magnetic Field

Author: M. N. L. Narasimhan

Publisher:

Published: 1963

Total Pages: 30

ISBN-13:

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The stability of flow of certain non-Newtonian fluids between two rotating coaxial cylinders in the presence of a circular magnetic field is examined. The fluid in question is assumed to be an incmpressible Reiner-Rivlin fluid. The equations of motion for these non-Newtonian fluids governing marginal stability are derived, and boundary conditions for perfectly conducting cylinders (Fermi boundary conditions) are formulated for the cases of corotating and counterrotating cylinders, when the gap between the cylinders is small. The underlying characteristic value problem is solved by using an expansion in orthogonal functions method developed by Chandrasekhar to determine the critical Taylor numbers for marginal stability as stability criteria. Numerical calculations have been performed. It is found that the effect of crossviscosaty is to facilitate the onset of instability; whereas the effect of viscosity under similar conditions would be a stabilizing one. Thus the effect of cross-viscosity is found to be opposite that of viscosity in the stability analysis of the present case. (Author).