Paper: astro-ph/0510305

replaced with revised version Fri, 6 Jan 2006 15:05:03 GMT (958kb)

Title: Hydraulic/Shock-Jumps in Protoplanetary Disks

Authors: A. C. Boley and R. H. Durisen

Comments: 39 pages, 18 figures, 1 table. There are two minor changes between
this version and version 2, which has already been accepted for publication
in ApJ. A typo in the definition of a term in equation (26) has been
corrected, and one reference has been updated

In this paper, we describe the nonlinear outcome of spiral shocks in protoplanetary disks. Spiral shocks, for most protoplanetary disk conditions, create a loss of vertical force balance in the post-shock region and result in rapid expansion of the gas perpendicular to the disk midplane. This expansion has characteristics similar to hydraulic jumps, which occur in incompressible fluids. We present a theory to describe the behavior of these hybrids between shocks and hydraulic jumps (shock bores) and then compare the theory to three-dimensional hydrodynamics simulations. We discuss the fully three-dimensional shock structures that shock bores produce and discuss possible consequences for disk mixing, turbulence, and evolution of solids.

\\ ( http://arXiv.org/abs/astro-ph/0510305 , 958kb)