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Stability of Viscous Flow in Rotating Cylinders with Magnetic Field. Edition No. 1
VDM Publishing House, July 2010, Pages: 116
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 author received his B.Sc. (Gold Medalist) from D.A.V. College Kangra under Himachal Pradesh University Shimla. He joined Panjab University, Chandigarh in 2000 and did his Masters and Ph.D. in Mathematics from this University during 2000-08. He has worked as a NBHM Post Doctoral Fellow in Indian Statistical Institute, Kolkata during 2008-09.