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Heat Transfer Research
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ISSN Druckformat: 1064-2285

ISSN Online: 2162-6561

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WATER PERMEATION IN THE BRANCHING CHANNEL NET OF WOOL FIBER

Volumen 44, Ausgabe 5, 2013, pp. 465-472
DOI: 10.1615/HeatTransRes.2013005861
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Jie Fan
National Engineering Laboratory for Modern Silk, College of Textile and Engineering, Soochow University, 199 Ren-ai Road, Suzhou 215123, Key Laboratory of Advanced Textile Composites, Ministry of Education of China, 399 West Binshui Road, Tianjin 300387
XiaoMei Shang
College of Textile and Apparel, Soochow University, 178 East Ganjiang Road, Suzhou, 215021, China

ABSTRAKT

Wool fiber shows excellent moisture absorption and water permeation properties, which are due to its hierarchic matrix branching channel net widespread inside the fiber. The fractal derivative method is employed to build a model for predicting water permeation through the fiber. The results show that both the water permeation velocity and water flux are extraordinarily improved due to the fractal nature of the matrix water path. The water flux is about two orders of magnitude more efficient than that of the conventional water permeation process in continuous media. The mechanism underlying the water permeation behavior in the matrix hierarchic channel net of wool fiber is promising for special applications of novel hydrophilic artificial fiber.

SCHLÜSSELWÖRTER: water permeation, fractal, matrix, wool fiber
REFERENZIERT VON

  1. Hong-Yan Liu and Dr Ji-Huan He Dr, Liu Hong-Yan, He Ji-Huan, Li Zheng-Biao, Fractional calculus for nanoscale flow and heat transfer, International Journal of Numerical Methods for Heat & Fluid Flow, 24, 6, 2014. Crossref

  2. He Ji-Huan, A Tutorial Review on Fractal Spacetime and Fractional Calculus, International Journal of Theoretical Physics, 53, 11, 2014. Crossref

  3. Fan Jie, Zhu Na, Wang Li-li, Liu Zhi, Wang Chang-Yuan, Liu Yong, Influence of Hierarchic Structure on the Moisture Permeability of Biomimic Woven Fabric Using Fractal Derivative Method, Advances in Mathematical Physics, 2015, 2015. Crossref

  4. He Ji-Huan, Li Zheng-Biao, Wang Qing-li, A new fractional derivative and its application to explanation of polar bear hairs, Journal of King Saud University - Science, 28, 2, 2016. Crossref

  5. Fan Jie, Zhu Na, Liu Zhi, Cheng Qian, Liu Yong, A model for allometric permeation in fractal branching channel net driven by capillary pressure, International Journal of Numerical Methods for Heat & Fluid Flow, 25, 8, 2015. Crossref

  6. Sayevand K., Pichaghchi K., Efficient algorithms for analyzing the singularly perturbed boundary value problems of fractional order, Communications in Nonlinear Science and Numerical Simulation, 57, 2018. Crossref

  7. Fan Jie, Yang Xue, Liu Yong, Fractal calculus for analysis of wool fiber: Mathematical insight of its biomechanism, Journal of Engineered Fibers and Fabrics, 14, 2019. Crossref

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