Modeling of heat and mass transfer processes in the melting zone of polymers

Abstract

Issues related to the melting of the polymer mixture in cylindrical channels are considered. The peculiarity of the problem solved in this work is the presence in the channel of two-phase flows of a solid-liquid mixture under the influence of heating the outer surface of the cylinder and dissipative forces arising from friction of the mixture against the walls of this channel. The problems of heating the mixture, melting the polymer and determining the velocity of the phase transition boundary in the conditions of a mobile solid mixture due to the rotational motion of the mechanism that feeds the mixture into a cylindrical channel are considered. Mathematical models of certain processes are systems of differential equations with partial derivatives of mathematical physics; the corresponding boundary value problems are solved using numerical-analytical methods, which made it possible to obtain solutions in quadratures. The results of computer modeling of the developed algorithms are given.

Keywords

• equivalent simplification
• Stefan type problem
• integral transformations
• polymer mixture
• Navier–Stokes equation
• phase transition