Stochastic resin transfer molding process

TL;DR

This paper investigates stochastic models of resin transfer molding in one and two dimensions, analyzing how randomness in material properties affects the process's filling time through analytical and numerical methods.

Contribution

It introduces stochastic models for resin transfer molding and studies their properties, highlighting the impact of permeability field variability on process outcomes.

Findings

Variability in filling time depends on correlation lengths.

Analytical solutions are provided for 1D models.

Numerical analysis explores 2D models.

Abstract

We consider one-dimensional and two-dimensional models of the stochastic resin transfer molding process, which are formulated as random moving boundary problems. We study their properties, analytically in the one-dimensional case and numerically in the two-dimensional case. We show how variability of time to fill depends on correlation lengths and smoothness of a random permeability field.