4.7 Article

Differential-difference model for textile engineering

Journal

CHAOS SOLITONS & FRACTALS
Volume 42, Issue 1, Pages 352-354

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2008.12.011

Keywords

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Funding

  1. National Natural Science Foundation of China [10772054, 10572038]
  2. 111 project [B07024]
  3. New Century Excellent Talents in University [NCET-05-0417]

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Woven fabric is manifestly not a continuum and therefore Darcy's law or its modifications, or any other differential models are invalid theoretically. A differential-difference model for air transport in discontinuous media is introduced using conservation of mass, conservation of energy, and the equation of state in discrete space and continuous time, capillary pressure is obtained by dimensional analysis. (C) 2008 Elsevier Ltd. All rights reserved.

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