A two-dimensional axisymmetric transient model for the shock-wave-induced spraying process (SISP) is developed. SISP is a new cold spray process used to apply coatings of various metallic materials onto a wide range of different substrates. The model is validated with reference to a simplified one-dimensional approximation of the flow field. The model solves equations for mass, momentum, energy, ideal-gas law, as well as turbulence. The valve is represented as a ball-seat-type valve. The results are presented as contours of flow variables in a space-time domain. Values of pressure, axial velocity, Mach number, as well as static and total temperature are examined. The effects of varying supply pressure and temperature on these flow variables are investigated in detail. Additionally, air and helium are compared as the driving gas.