“…The application of such similarity criteria is useful for direct comparisons of laboratory data and both observations and multi-dimensional numerical simulations. Investigations of similarity criteria for comparisons of the results of laboratory experiments and astrophysical processes have been carried out in many studies (see, e.g., [17][18][19][20]). In spite of the very different physical parameters of laboratory and astrophysical jets, there exist scaling criteria that can be used to relate one to another .Following [21], we will consider the following system of one-dimensional equations for the non-stationary hydrodynamics of a compressible fluid [22]: where t, v, M, V , ρ, P, γ, and Λ(ρ, T) are the time, velocity, mass, volume, density, pressure, adiabatic index, and cooling function, respectively.…”