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Boundary feedback stabilization of periodic fluid flows in a magnetohydrodynamic channel

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Ionut Munteanu

Editorial: IEEE Transactions on Automatic Control, 58 (8), p.2119 - 212, 2013.


In this note, an electrically conducting 2-D channel fluid flow, in the presence of a transverse magnetic field, is
investigated. The governing equations are the magnetohydrodynamics equations, which are a coupling between the
Navier-Stokes and Maxwell equations. The stability of the Hartmann-Poiseuille profile is achieved by finite-dimensional
feedback controllers acting on both normal components of the velocity field and of the magnetic field, on the upper wall only.
The stabilization algorithm, developed here, works for any value of the Reynolds number, or the magnetic Reynolds number,
of the flow.

Cuvinte cheie: MHD flow control, Riccati equation, feedback controller