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Dynamical Analysis of Magnetorheological Rotational Flow

[+] Author Affiliations
Nariman Ashrafi, Abdolreza Mortezapoor

Islamic Azad University, Tehran, Iran

Paper No. IMECE2011-63045, pp. 353-360; 8 pages
doi:10.1115/IMECE2011-63045
From:
  • ASME 2011 International Mechanical Engineering Congress and Exposition
  • Volume 7: Dynamic Systems and Control; Mechatronics and Intelligent Machines, Parts A and B
  • Denver, Colorado, USA, November 11–17, 2011
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5493-8
  • Copyright © 2011 by ASME

abstract

Stability of the magnetorheological rotational flow in presence of magnetic excitation in the axial direction is examined. The Galerkin projection method is used to derive a low-order dynamical system from the conservation of mass and momentum equations while mixed boundary conditions are assumed. In absence of magnetic excitation, the base flow loses its radial flow stability to the vortex structure at a critical Taylor number. The emergence of the vortices corresponds to the onset of a supercritical bifurcation. The Taylor vortices, in turn, lose their stability as the Taylor number reaches a second critical number corresponding to the onset of a Hopf bifurcation. The axial magnetic field turns out to be a controlling parameter as it alters the critical points throughout the bifurcation diagram.

Copyright © 2011 by ASME
Topics: Rotational flow

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