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Magnetohydrodynamic channel flows with weak transverse magnetic fields
Author(s) -
Alric Rothmayer
Publication year - 2014
Publication title -
philosophical transactions of the royal society a mathematical physical and engineering sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.074
H-Index - 169
eISSN - 1471-2962
pISSN - 1364-503X
DOI - 10.1098/rsta.2013.0344
Subject(s) - magnetohydrodynamic drive , mechanics , hartmann number , magnetic field , reynolds number , physics , open channel flow , transverse plane , magnetohydrodynamics , magnetic reynolds number , flow (mathematics) , compressibility , channel (broadcasting) , plane (geometry) , classical mechanics , geometry , mathematics , turbulence , computer science , telecommunications , engineering , structural engineering , quantum mechanics
Magnetohydrodynamic flow of an incompressible fluid through a plane channel with slowly varying walls and a magnetic field applied transverse to the channel is investigated in the high Reynolds number limit. It is found that the magnetic field can first influence the hydrodynamic flow when the Hartmann number reaches a sufficiently large value. The magnetic field is found to suppress the steady and unsteady viscous flow near the channel walls unless the wall shapes become large.

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