Abstract
We develop a general method based on implicit integral equations that allows the derivation of analytical expressions for wet length, filling time, pressure distribution and flow rate in the mold filling step of the resin transfer molding (RTM) process. Our method is based on Darcy's law, avoids unnecessary assumptions on the process parameters and considers pressure, inflow and general mixed boundary conditions. Temperature and curing effects as well as non-Newtonian flow conditions are dicussed. Previously derived analytical solutions of the RTM flow equations appear as special cases of our general equations. Our equations provide a framework for the toolbox-like construction of new analytical expressions. The general mathematical formulation allows for sensitivity and optimization studies; examples are given. A simple numerical solution procedure for the implicit analytical equations is suggested.
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