Validation test cases for multiphysic problems: application to magnetohydrodynamic numerical simulations

David Cébron (1) , Jean-François Sigrist (2) , Vincent Soyer (2) , P. Ferrant (3)

1 IRPHE - Institut de Recherche sur les Phénomènes Hors Equilibre
2 Service Technique et Scientifique
3 LMF - Laboratoire de mécanique des fluides

In the present paper, some elementary test cases in laminar flow with magnetic forcing terms are analyzed (Hartmann flow, Couette flow, Rayleigh flow); equations of the coupled problem are exposed and analytical solutions are derived in each case, highlighting the relevant non-dimensional number which drives the physics of the problem. Several analytical calculations are then proposed and discussed, in particular in the context of MHD propulsion by a nozzle, with a possible electrolysis.

Mots clés: Magnetohydrodynamic; Hartmann flow; MHD propulsion; Temperature profile; Magnetic Couette flow

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

David Cébron, Jean-François Sigrist, Vincent Soyer, P. Ferrant. Validation test cases for multiphysic problems: application to magnetohydrodynamic numerical simulations. ASME 2008 Pressure Vessels and Piping Conference (PVP2008), Jul 2008, Chicago, United States. pp. 283-292, ⟨10.1115/PVP2008-61736⟩. ⟨hal-00457151⟩