Stability study for the MHD problem in perforated and parallel walls

We have studied the stability of a conducting fluid when it is continuously injected or ejected through a pair of parallel porous walls and escapes in both directions along the channel. The flow forms a stagnation point at the center and the effluence is restricted by a magnetic field perpendicular...

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Bibliographic Details
Published in:Applied mathematical modelling 2008-06, Vol.32 (6), p.1003-1016
Main Authors: Ospina, R., Devia, D.M., Arango, Y.C., Arango, P.J., Devia, A.
Format: Article
Language:English
Subjects:
Conducting fluids
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
General theory
Magnetohydrodynamics and electrohydrodynamics
MHD stability
Physics
Pitchfork bifurcations
Porous walls
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Summary:We have studied the stability of a conducting fluid when it is continuously injected or ejected through a pair of parallel porous walls and escapes in both directions along the channel. The flow forms a stagnation point at the center and the effluence is restricted by a magnetic field perpendicular to the walls. A theoretical analysis of the steady state solutions of the MHD equations in the incompressible case is given as a function of three parameters R e, R m and M A ( R e: Reynolds number, R m: magnetic Reynolds number, M A: Alfvenic Mach number), for some asymptotic limits. In the case of suction, critical values of the parameters are found for which there are bifurcations in the system. Such bifurcations are pitchfork type. In the case of injection, the flux results always stable.
ISSN:0307-904X
DOI:10.1016/j.apm.2007.02.027