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.
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ASME 2011 International Mechanical Engineering Congress and Exposition
November 11–17, 2011
Denver, Colorado, USA
Conference Sponsors:
- ASME
ISBN:
978-0-7918-5493-8
PROCEEDINGS PAPER
Dynamical Analysis of Magnetorheological Rotational Flow
Nariman Ashrafi,
Nariman Ashrafi
Islamic Azad University, Tehran, Iran
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Abdolreza Mortezapoor
Abdolreza Mortezapoor
Islamic Azad University, Tehran, Iran
Search for other works by this author on:
Nariman Ashrafi
Islamic Azad University, Tehran, Iran
Abdolreza Mortezapoor
Islamic Azad University, Tehran, Iran
Paper No:
IMECE2011-63045, pp. 353-360; 8 pages
Published Online:
August 1, 2012
Citation
Ashrafi, N, & Mortezapoor, A. "Dynamical Analysis of Magnetorheological Rotational Flow." Proceedings of the 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. pp. 353-360. ASME. https://doi.org/10.1115/IMECE2011-63045
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