TY - JOUR
T1 - Longitudinal permeability determination of dual-scale fibrous materials
AU - Shou, Dahua
AU - Ye, Lin
AU - Fan, Jintu
N1 - Funding Information:
L. Ye is grateful for an ARC Discovery Project Grant ( DP110103991 ) that supports this work.
Publisher Copyright:
© 2014 Elsevier Ltd.
PY - 2015/1
Y1 - 2015/1
N2 - In this work, the longitudinal permeability of squarely packed dual-scale fiber preforms is studied theoretically. These fiber preforms are composed of aligned porous tows and the tows are tightly packed. The effective permeability is calculated as a parallel-like network of intra-tow permeability and inter-tow permeability, which are quantified by Darcy's law and the inscribed radius between tows, respectively. The jump velocity at the interface between inter-tow fluids and porous tows is considered, as derived by substituting Beavers and Joseph's correlation into Brinkman's equation. We further examine the effects of intra-tow permeability on the effective permeability of the fibrous system with three interface conditions: (1) interface velocity = 0, (2) interface velocity = mean intra-tow velocity, and (3) interface velocity = jump velocity. The jump-velocity-based model is found to be closest to numerical data. The influence of the fiber volume fraction of tows on the effective permeability is also analyzed.
AB - In this work, the longitudinal permeability of squarely packed dual-scale fiber preforms is studied theoretically. These fiber preforms are composed of aligned porous tows and the tows are tightly packed. The effective permeability is calculated as a parallel-like network of intra-tow permeability and inter-tow permeability, which are quantified by Darcy's law and the inscribed radius between tows, respectively. The jump velocity at the interface between inter-tow fluids and porous tows is considered, as derived by substituting Beavers and Joseph's correlation into Brinkman's equation. We further examine the effects of intra-tow permeability on the effective permeability of the fibrous system with three interface conditions: (1) interface velocity = 0, (2) interface velocity = mean intra-tow velocity, and (3) interface velocity = jump velocity. The jump-velocity-based model is found to be closest to numerical data. The influence of the fiber volume fraction of tows on the effective permeability is also analyzed.
KW - A. Fibers
KW - B. Microstructures
KW - C. Analytical modeling
KW - E. Resin transfer molding (RTM)
UR - http://www.scopus.com/inward/record.url?scp=84908043204&partnerID=8YFLogxK
U2 - 10.1016/j.compositesa.2014.09.018
DO - 10.1016/j.compositesa.2014.09.018
M3 - Journal article
AN - SCOPUS:84908043204
SN - 1359-835X
VL - 68
SP - 42
EP - 46
JO - Composites Part A: Applied Science and Manufacturing
JF - Composites Part A: Applied Science and Manufacturing
ER -