Shock jump conditions modified by pressure anisotropy and heat flux for earth's bowshock

Physics – Geophysics

Scientific paper

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Bow Waves, Geophysics, Pressure Effects, Shock Waves, Anisotropic Media, Heat Flux, Propagation Velocity, Rankine-Hugoniot Relation

Scientific paper

The effects of pressure anisotropy and backstreaming heat flux on the Rankine-Hugoniot (R-H) solutions for fast and slow shock are investigated. The R-H relations is obtained by integrating time-dependent MHD conservation equations and the Maxwell equations across the shock. It is observed that for fast shocks the pressure anisotropy reduces the shock strength in magnetic field jump; and when the backstreaming heat flux is greater than zero magnetic jump is reduced, and when the flux is less than zero magnetic jump is enhanced. It is determined that slow shocks are insensitive to heat flux and sensitive to anisotropy pressure; when p-parallel equals p-perpendicular upstream, and p-parallel is greater than p-perpendicular, where p-parallel and p-perpendicular are the pressure parallel and perpendicular to the local magnetic field, the slow shocks cease to exist. Theory and observations of quasi-perpendicular shocks are compared. Good agreement is obtained for quasi-perpendicular shocks when the Alfven Mach number is greater than ten, the anisotropy parameter is greater than one, and the backstreaming heat flux is less than zero. The data reveal that the backstreaming heat flux is the factor which permits correlation between theory and observations.

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