A parametric study of slow shock Rankine-Hugoniot solutions and critical Mach numbers

Computer Science – Sound

Scientific paper

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Critical Velocity, Mach Number, Magnetohydrodynamic Waves, Rankine-Hugoniot Relation, Shock Wave Propagation, Space Plasmas, Electrical Resistivity, Propagation Velocity, Thermal Conductivity

Scientific paper

The relationship between Rankine-Hugoniot solutions and critical Mach numbers is studied. The range of upstream parameters for which the resistivity or thermal conduction provide all the dissipation required by the slow shock Rankine-Hugoniot relations are evaluated. The calculation of the critical Mach number by analyzing the flux of shock catching ions is examined. It is observed that the properties of slow shocks depend on shock normal angle, and the ratio of the sound and Alfven speeds upstream. The Rankine-Hugoniot solutions are applicable to the analysis of spacecraft observations of slow shocks.

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