I present a two dimensional hydrodynamic simulation of a binary system consisting of two stars, each with a circumstellar disk, using a Smoothed Particle Hydrodynamic (SPH) code. I model the luminous output of this system in various millimeter and sub-millimeter wavelength bands appropriate for several new and soon to be on line interferometric telescopes and find that spiral structure present in the density structure of the disks will be difficult or impossible to observe in the observed emission from the system, due to the fact that disk photosphere temperatures are not very sensitive to the underlying density distribution.