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Differential-difference model for textile engineering

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  • Wu, Guo-Cheng
  • Zhao, Ling
  • He, Ji-Huan

Abstract

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.

Suggested Citation

  • Wu, Guo-Cheng & Zhao, Ling & He, Ji-Huan, 2009. "Differential-difference model for textile engineering," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 352-354.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:1:p:352-354
    DOI: 10.1016/j.chaos.2008.12.011
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    References listed on IDEAS

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    1. Ma, Zheng-Yi & Hu, Ya-Hong & Lan, Jia-Cheng, 2008. "Application of Fibonacci tane function to nonlinear differential-difference equations," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 303-308.
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