Calculation method and numerical verification of transverse dynamic permeability in large⁃tow carbon fiber tows

doi:10.19491/j.issn.1001-9278.2024.09.010

Abstract

Abstract:

In view of the limitation that the existing theoretical methods cannot reflect the influence of fiber wettability on permeability， the analytical expression of capillary pressure and the calculation formula of lateral dynamic permeability of fiber tow impregnation process were derived. The numerical simulation of the process of resin impregnated fiber tows was carried out by using a phase field method. The simulation results indicated that the numerical solution of the capillary pressure obtained by the phase field method was consistent with the analytical solution obtained from this paper. This proved the reliability of the developed method. The effects of fiber volume fraction and contact angle on the dynamic permeability were studied. The results indicated that this method could better characterize the effect of fiber wettability on the permeability and realize the dynamic prediction of the permeability at different impregnation radii. Compared to the existing permeability calculation methods， the developed method is more applicable and the calculation results are more accurate.

Key words: capillarity, resin flow, dynamic permeability, numerical simulation, composity

CLC Number:

TQ320.66

ZHAI Menglei, CHEN Wenguang, HUANG Ming, LEI Jinyu, ZHANG Na, LIU Chuntai, GAO Guoli. Calculation method and numerical verification of transverse dynamic permeability in large⁃tow carbon fiber tows[J]. China Plastics, 2024, 38(9): 54-59.

Figures/Tables 12

Fig.1. Schematic diagram of resin impregnated fiber preform

Fig.2. Cross section and structure of fiber tow

Fig.3. Resin impregnation process of fiber tow

Fig.4. Curved liquid surface of resin front in different dimensions

理论模型	横向渗透率
Gebart模型	$K G e b a r t = r f 2 c 1 (V f m a x V f - 1) 2.5$
细胞模型	$K C e l l = r f 2 (1 - V f) 8 V f l n (1 V f) - 1.5 + 2 V f - V f 2 2$

理论模型	横向渗透率
Gebart模型	$K G e b a r t = r f 2 c 1 (V f m a x V f - 1) 2.5$
细胞模型	$K C e l l = r f 2 (1 - V f) 8 V f l n (1 V f) - 1.5 + 2 V f - V f 2 2$

Tab.1. Theoretical analysis model of transverse permeability

Fig.5. Simulation model of fiber tow impregnation

纤维数N

纤维半径r_f/

μm

纤维体积分数

纤维间距d/

μm

丝束半径r₀/

μm

Tab.2. Different fiber tow parameters

介质	密度/kg·m^-3	动力黏度/Pa·s	表面张力系数/N·m^-2
树脂	1 200	0.3	0.035 4
空气	1.225	1.789×10⁃⁵	-

Tab.3. Parameters of two kinds of fluid media

Fig.6. Simulation of fiber tow impregnation process under different fiber volume fraction

Fig.7. Comparison between numerical and analytical solutions of capillary pressure under different fiber volume fraction and contact angle

Fig.8. The variation curve of radial velocity with impregnation radius under different fiber volume fraction and contact angle.

Fig.9. The dynamic permeability calculated in this paper is compared with that of the traditional model

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