Symmetries of cylindrical equations of hydrodynamics and convective heat exchange

Consideration has been given to the interrelation of the symmetries (in terms of the Lie groups) of a system of Navier-Stokes and Fourier-Kirchhoff equations and self-similar forms of these equations. It has been shown how various self-similar forms can be determined on the basis of the symmetries. Ordinary self-similar differential equations have been obtained.