Fluids with specific properties are very wide used in different processes of modern industry therefore the investigations of non-Newtonian fluids are very much popular. Some articles, dedicated to non-isothermal flow into channels as chemical inert so chemical active non-Newtonian media have been analyzed. Important factors that are necessary to take into account for a developing of mathematical models of flow of media under consideration have also been underlined. Some progress in above scientific direction has been analyzed. A model of flow for rubber mixtures into channels taking into consideration of dissipative energy, thermal effects and effect of stick-slip, thermal border conditions of third kind and dependencies of viscosity and thermophysical properties versus temperature, pressure and chemical conversion has separate been discussed.