Stability of Viscous Flow in Rotating Cylinders with Magnetic Field
Author | : Jitender Singh |
Publisher | : LAP Lambert Academic Publishing |
Total Pages | : 116 |
Release | : 2010-07 |
ISBN-10 | : 3838384695 |
ISBN-13 | : 9783838384696 |
Rating | : 4/5 (95 Downloads) |
Book excerpt: 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.