Shock structure in classical magnetohydrodynamics

Details Shock structure in classical magnetohydrodynamics Shock structure in classical magnetohydrodynamics

Aug 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988jgr....93.8545k&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 93, Aug. 1, 1988, p. 8545-8557.

Physics

18

Asymptotic Methods, Coulomb Collisions, Mach Number, Magnetohydrodynamic Flow, Rankine-Hugoniot Relation, Shock Wave Propagation, Acoustic Velocity, Plasma Density, Thermal Conductivity, Trailing Edges

Scientific paper

The author examines how the structure of coplanar MHD fast and slow shocks depends upon the relative magnitudes of the dissipation coefficients contained in classical magnetohydrodynamics. He uses an asymptotic method in which the scale lengths for resistivity, thermal conduction, and viscosity are widely separated and studies the qualitative dependence of the shock solutions upon the ordering of the scales. This method may also be called that of nested subshocks. The author defines upper limit Mach numbers, for both fast and slow shocks, at which resistivity and thermal conduction taken together can provide all the shock dissipation and at which viscosity is not needed.

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