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- Title
GOVERNING EQUATIONS FOR ISOTHERMAL FLOW THROUGH WOVEN FIBER MATS BY EMPLOYING LOCAL VOLUME AVERAGING TECHNIQUE.
- Authors
Alakuş, Bayram
- Abstract
Accurate mathematical modeling of resin flow in liquid composite molding (LCM) processes is important for effective simulations of the mold-filling process. Recent experiments indicate that the physics of resin flow in woven fiber mats is very different from the flow in random fiber mats. In this study, the mathematically rigorous volume averaging method is adapted to derive the averaged form of mass and momentum balance equations for unsaturated flow in LCM. The two phases used in the volume averaging method are the dense bundle of fibers called tows, and the surrounding gap present in the woven fiber mats. Averaging the mass balance equation yields a macroscopic equation of continuity which is similar to the conventional continuity equation for a single-phase flow. Similar averaging of the momentum balance equation is accomplished for the dual-scale porous medium.
- Subjects
ISOTHERMAL surfaces (Thermodynamics); FIBERS; MATHEMATICAL models; SIMULATION methods &; models; WEAVING; POROUS materials
- Publication
Journal of the Institute of Science & Technology of Dumlupinar University / Dumlupinar Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2011, Issue 24, p91
- ISSN
1302-3055
- Publication type
Article