Dissipative Flow of Rubber Mixes in Channel when Viscosity Depends on Temperature, Pressure and Degree of Vulcanization

Abstract

The flow and heat transfer of rubber mix as a non-Newtonian fluid in a flat channel have been investigated with boundary conditions of the first kind. Basic assumptions while formulating problem were made on the basis of low values of the Reynolds number and high values of the Peclet number. The Ellis model with a viscosity dependent on temperature, pressure and the degree of vulcanization was used as the rheological model. The flow was accompanied by a vulcanization reaction that leads to a sharp increase in viscosity. This, in turn, led to the inclusion of the kinetic equation of a chemical reaction in the mathematical model. A high viscosity medium was investigated. Therefore, the dissipative term was taken into account in the energy equation. The significant influence of temperature, pressure and dissipation on the processes of flow and heat transfer in the channel was shown. The solution is solved numerically by the finite difference method according to the iterative scheme.