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

  Almog Yalinewich [1]  ,  Reem Sari [1,2]  
[1] Racah Institute of Physics, the Hebrew University, 91904, Jerusalem, Israel
[2] California Institute of Technology, MC 350-17, Pasadena, CA 91125

The problem of a cold gas flowing past a stationary object is considered.
It is shown that at large distances from the obstacle the shock front forms a
parabolic solid of revolution. The interior of the shock front is obtained by
solution of the hydrodynamic equations in parabolic coordinates. The results are
verified with a hydrodynamic simulation. The drag force and expected spectra
are calculated for such shock, both in case of an optically thin and thick media.
Finally, relations to astrophysical bow shocks and other analytic works on oblique
shocks are discussed.