Roland P.H. Berton

DOI Number XXX-YYY-ZZZ

Conference Number HiSST 2018_690803

In the present work, our published analytical model of resistive magnetohydrodynamic (MHD) shock without Hall effect has been extended to include Hall effect. Original jump conditions at a plane oblique shock, analogous to the Rankine-Hugoniot formulas, with a moderately resistive air plasma downstream are derived. Viscous and thermal are neglected, but the Hall effect is taken into account and the jump of isentropic exponent, caused by molecular dissociations behind the shock, is also a major input of the model. Then, for an application to atmospheric entry problems, a shock fitting procedure with realistic geometrical configurations and ambient conditions at two altitudes is worked out by the coupling of these MHD jumps with thermodynamic correlations and an electric conductivity model. Fundamental features put into evidence are the reduction and saturation of the MHD interaction by the Hall effect as the magnetic field increases, and the crucial role played by the ion slip factor in the phenomenon. Paradoxically, the Hall effect arises because of the dominance of the magnetic field over collisions and eventually it counteracts the MHD interaction.

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In Categories: High-Speed Aerodynamics and Aerothermodynamics, HiSST 2018, Hypersonic Aerodynamics, Magnetohydrodynamics
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