Previous analyses of the X-ray emission from SS 433 have assumed conically out-flowing jets of hot plasma in ionizational equilibrium conditions to deduce the system's physical parameters from the data. Current X-ray instruments are sensitive enough to detect the effects of second order deviations from these simple assumptions in the measured spectra. We have modeled the two dimensional hydrodynamic outflow of the jets with different initial conditions, and considered non-equilibrium effects and photoionization in the plasma. The deviations from the canonical model are discussed and the influence on the determination of the system's physical parameters are evaluated.