Modeling of structural reaction injection molding process. I. Mathematicalmodel

A mathematical model of the infusion process in producing reinforced articl es is proposed. The model is based on the analysis of flow of a Newtonian l iquid inside a rectangular multilayer channel. According to the model, a li quid enters the central (feeding) layer, moves through this layer, and simu ltaneously impregnates peripheral layers. So, the flow is two-dimensional. Flow inside the porous layers is treated in terms of the Darcy equation wit h different permeability coefficients in two directions, Principal solution s for the flow front development and pressure evolution were obtained and a nalyzed, Then the initial model, developed for a Newtonian liquid, is gener alized for the so-called "rheokinetic" liquid. which changes its rheologica l properties in time as a result of temperature variation and/or any possib le chemical process, in particular, the reaction of curing of a binder. It was proven that in this case the solution is automodel. This means that the solutions obtained for a Newtonian liquid in the dimensionless form are va lid for an arbitrary rheokinetic Liquid.