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Fractal Boundary Layer And Its Basic Properties

Author

Listed:
  • SHUAI-JIA KOU

    (School of Science, Xi’an University of Architecture and Technology, Xi’an 710055, P. R. China)

  • CHUN-HUI HE

    (��School of Civil Engineering, Xi’an University of Architecture & Technology, Xi’an 710055, P. R. China)

  • XING-CHEN MEN

    (��School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710072, P. R. China)

  • JI-HUAN HE

    (School of Science, Xi’an University of Architecture and Technology, Xi’an 710055, P. R. China)

Abstract

In this paper, the fractal calculus is introduced to study a non-smooth boundary layer of a viscous fluid, and a fractal-fractional modification of the Blasius equation is suggested and solved analytically. The results show that the non-smooth boundary might lead to smaller friction, this can explain well the lotus effect, the waving sand dune and Fangzhu’s water collection. The fractal boundary layer theory has opened the path for a new way to optimal design of a high moving surface with the minimal friction.

Suggested Citation

  • Shuai-Jia Kou & Chun-Hui He & Xing-Chen Men & Ji-Huan He, 2022. "Fractal Boundary Layer And Its Basic Properties," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(09), pages 1-9, December.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:09:n:s0218348x22501729
    DOI: 10.1142/S0218348X22501729
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