Journal of Textile Research ›› 2019, Vol. 40 ›› Issue (11): 20-25.doi: 10.13475/j.fzxb.20180802806

• Fiber Materials • Previous Articles     Next Articles

Diameter prediction of melt-blown fiber based on non-Newtonian fluid constitutive equations

SUN Guangwu1, LI Jiecong2, XIN Sanfa1, WANG Xinhou2()   

  1. 1. School of Fashion Engineering, Shanghai University of Engineering Science, Shanghai 201620, China
    2. College of Textiles, Donghua University, Shanghai 201620, China
  • Received:2018-08-10 Revised:2019-08-11 Online:2019-11-15 Published:2019-11-26
  • Contact: WANG Xinhou E-mail:xhwang@dhu.edu.cn

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Abstract:

For accurately predicting the final diameter of fiber and revealing the mechanism of fiber formation, four types of non-Newtonian fluid constitutive equations, PTT, UCM, Giesekus and Rouse-Zimm, were introduced on the basis of Lagrange method and bead-chain model. The stress and resulting diameter of fiber in the air jet were predicted, respectively. The results indicate that: the viscoelastic forces calculated by different non-Newtonian fluid constitutive equations are different, thus the predicted results are different. Final diameter of fiber is affected by the difference between internal and external stress and the position of freezing point. Larger difference between internal and external stress generates faster decay rate of diameter. Fiber would have enough space to be drawn if the freezing point of fiber appears far away from the orifice. The fiber calculated by UCM fluid constitutive equation is the thickest, while the fiber predicted by Giesekus equation is the finest. The predicted results from Giesekus fluid constitutive equation show good agreement with the experimental results.

Key words: melt-blowing fiber, bead-chain model, Lagrange equation, non-Newtonian fluid, viscoelastic stress, fiber diameter

CLC Number: 

  • TS171.9

Fig.1

Bead-chain model of fiber"

Fig.2

Fiber stress calculated by different non-Newtonian fluid constitutive equations and its variation with z coordinate"

Fig.3

Fiber diameter calculated by different non-Newtonian fluid constitutive equations and its variation with z coordinate"

Tab.1

Indexes calculated by different non-Newtonian fluid constitutive equations"

非牛顿流体
方程名称		 最大内外应力差/kPa 平均细化速度/(μm·cm-1) 凝固点位置/cm 最终纤维直径/μm
Giesekus 18.72 128.00 6.45 74.12
PTT 12.54 126.86 5.27 79.18
UCM 14.36 127.02 5.36 83.42
Rouse-Zimm 9.21 125.80 7.62 74.76
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