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Published August 1, 2016 | Published + Submitted
Journal Article Open

Asymptotic Steady-state Solution to a Bow Shock with an Infinite Mach Number

Abstract

The problem of a cold gas flowing past a stationary obstacle is considered. We study the bow shock that forms around the obstacle and show that at large distances from the obstacle the shock front forms a parabolic solid of revolution. The profiles of the hydrodynamic variables in the interior of the shock are obtained by solution of the hydrodynamic equations in parabolic coordinates. The results are verified with a hydrodynamic simulation. The drag force on the obstacle is also calculated. Finally, we use these results to model the bow shock around an isolated neutron star.

Additional Information

© 2016 The American Astronomical Society. Received 2016 March 24; revised 2016 May 12; accepted 2016 May 14; published 2016 July 29. This research was partially supported by ISF and iCore grants. We would like to thank Marten van Kerkwijk for allowing us to use the image from his paper. We thank Elad Steinberg, Nir Mandelker, and Prof. Chris McKee for enlightening discussions.

Attached Files

Published - apj_826_2_177.pdf

Submitted - 1510.07594v1.pdf

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August 20, 2023
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October 20, 2023