The paper contains a mathematical model of heat and mass transfer polymerization reactor coaxial type, which allows to consider the distribution of the characteristics of the process provided a critical mode of heat transfer in the flow of non-Newtonian fluids. The results of numerical studies presented in the form of distributions of temperature, axial and radial components of the velocity, viscosity and concentration of the monomer and the initiator of the length and radius of the channel by varying the parameter Frank Kamenetz. At the edge of the channel are set thermal boundary conditions of the first kind.