Magnetic effect on the formation of longitudinal vortices in natural convection flow over a rotating heated flat plate

A numerical study of magnetic effect on the formation of longitudinal vortices in natural convection flow over a rotating heated flat plate is presented. The onset position characterized by the local Grashof number, depends on the rotational Reynolds number, the Prandtl number, the Hartmann number,...

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Bibliographic Details
Published in:Applied mathematical modelling 2008-04, Vol.32 (4), p.547-561
Main Author: Lin, Ming-Han
Format: Article
Language:English
Subjects:
Convection and heat transfer
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Grashof number
Longitudinal vortices
Magnetic effect
Natural convection
Physics
Rotation
Turbulent flows, convection, and heat transfer
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Summary:A numerical study of magnetic effect on the formation of longitudinal vortices in natural convection flow over a rotating heated flat plate is presented. The onset position characterized by the local Grashof number, depends on the rotational Reynolds number, the Prandtl number, the Hartmann number, and the wave number. The Coriolis force and the Lonertz force have significant effects on the formation of longitudinal vortices and the associated instability. Positive rotation stabilizes the flow on the rotating flat surface. On the contrary, a negative rotation destabilizes the flow. The flow is found more stable as the value of Hartmann number increases. The numerical data show reasonable agreement with the experimental results with the case of thermal instability in natural convection over a flat plate heated from below.
ISSN:0307-904X
DOI:10.1016/j.apm.2007.02.003