Equatorial propagation of axisymmetric magnetohydrodynamic shocks. II

Philip Rosenau*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Self-similar solutions are presented for the equatorial propagation of axisymmetric, piston-driven magnetohydrodynamic shocks into an inhomogeneous ideal gas (∼ r, 0≤ω<3) permeated by an azimuthal magnetic field (∼r-m, 0<m< 1.5). Several regimes of magnetically dominated flow near the piston are possible (depending on the ambient density and field distribution of the unshocked gas) along with a new quasi-hydrodynamic flow where the magnetic field is depressed near the piston. Here, the hydrodynamic pressure replaces the magnetic pressure as the means of transmitting forces to the gas adjacent to the piston. Since in each regime gradients of different quantities diverge, the results indicate that in each case different effects of dissipation and diffusion may thus be needed. The theory is applied to describe shock waves in a gravitational field due to a heavy nucleus at the origin.

Original languageEnglish
Pages (from-to)1097-1103
Number of pages7
JournalPhysics of Fluids
Volume20
Issue number7
DOIs
StatePublished - 1977
Externally publishedYes

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